Mark Iosifovich Graev (to his 85th brithday)

A. M. Vershik ; I. M. Gel'fand ; S. G. Gindikin ; A. A. Kirillov ; G. L. Litvinov ; V. F. Molchanov ; Yu. A. Neretin ; V. S. Retakh

Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 63 (2008) no. 1, pp. 173-188

Bibliographie

[51] “Neprivodimye predstavleniya algebry Li gruppy $U(p,q)$”, Fizika vysokikh energii i teoriya elementarnykh chastits, Naukova dumka, Kiev, 1967, 216–226 (with I. M. Gelfandom) | MR

[52] “Integral geometry on $k$-dimensional planes”, Funct. Anal. Appl., 1:1 (1967), 14–27 (with I. M. Gel'fand, Z. Ya. Shapiro) | DOI | MR | Zbl

[53] “Representations of the group of quaternions over a disconnected locally compact continuous field”, Soviet Math. Dokl., 8 (1967), 1346–1349 (with I. M. Gel'fand) | MR | Zbl

[54] “Representations of quaternion groups over locally compact and functional fields”, Funct. Anal. Appl., 2:1 (1968), 19–33 (with I. M. Gel'fand) | DOI | MR | Zbl | Zbl

[55] “Complexes of $k$-dimensional planes in the space $C^n$ and Plancherel's formula for the group $GL(n,C)$”, Soviet Math. Dokl., 9:1 (1968), 394–398 (with I. M. Gel'fand) | MR | Zbl

[56] “Theory of group representations”, Amer. Math. Soc. Transl. Ser. 2, 70 (1968), 50–56 (with A. A. Kirillov) | Zbl

[57] “Complexes of straight lines in the space $C^n$”, Funct. Anal. Appl., 2:3 (1968), 219–229 (with I. M. Gel'fand) | DOI | MR | Zbl

[58] “Differential forms and integral geometry”, Funct. Anal. Appl., 3:2 (1969), 101–114 (with I. M. Gel'fand, Z. Ya. Shapiro) | DOI | MR | Zbl

[59] “Integral geometry in projective space”, Funct. Anal. Appl., 4:1 (1970), 12–28 (with I. M. Gel'fand, Z. Ya. Shapiro) | DOI | MR | Zbl

[60] “A problem of integral geometry connected with a pair of Grassmann manifolds”, Soviet Math. Dokl., 11 (1970), 892–896 (with I. M. Gel'fand, Z. Ya. Shapiro) | MR | Zbl

[61] “The classification of the linear representations of the group $SL(2,\mathbb C)$”, Soviet Math. Dokl., 11 (1970), 1319–1323 (with I. M. Gel'fand, V. A. Ponomarev) | Zbl

[62] “Homogeneous generalized functions in a vector space over a local non-Archimedean field which are related to a quadratic form”, Funct. Anal. Appl., 6:3 (1972), 233–234 (with R. I. Prokhorova) | DOI | MR | Zbl

[63] “The Radon transformation in the space $P^n (A)$ where $A$ is a finite commutative ring with identity”, Soviet Math. Dokl., 13 (1972), 1493–1497 (with N. V. Pavlenko) | MR | Zbl

[64] Operatory Fure–Veilya na osnovnom affinnom prostranstve gruppy Shevalle, Preprint IPM AN SSSR No 79, 1973 (with I. M. Gelfandom) | MR

[65] “Representations of the group $SL(2,\mathbf{R})$, where $\mathbf{R}$ is a ring of functions which are related to a quadratic form”, Russ. Math. Surv., 28:5 (1973), 87–132 (with A. M. Vershik, I. M. Gel'fand) | DOI | MR

[66] “Irreducible representations of the group $G^X$ and cohomologies”, Funct. Anal. Appl., 8:2 (1974), 151–153 (with A. M. Vershik, I. M. Gel'fand) | DOI | MR | Zbl

[67] “Obobschennaya funktsiya $\pi (P)$, gde $P$ – kvadratichnaya forma v vektornom prostranstve nad lokalnym nearkhimedovym polem”, Garmonicheskii analiz na gruppakh. Sb. nauchn. trudov, no. 39, MGZPI, M., 1974 (with R. I. Prokhorovoi)

[68] “Square roots of the quasi-regular representation of the group $SL(2,K)$”, Funct. Anal. Appl., 9:2 (1975), 146–148 (with I. M. Gel'fand) | DOI | MR | Zbl

[69] Predstavleniya gruppy diffeomorfizmov, svyazannye s beskonechnymi konfiguratsiyami, Preprint IPM AN SSSR No 46, 1975 (with I. M. Gelfandom, A. M. Vershikom)

[70] “Representations of the group of diffeomorphisms”, Russ. Math. Surv., 30:6 (1975), 1–50 (with A. M. Vershik, I. M. Gel'fand) | DOI | MR | Zbl

[71] Predstavleniya gruppy gladkikh otobrazhenii mnogoobraziya $X$ v kompaktnuyu gruppu Li, Preprint IPM AN SSSR No 55, 1976 (with I. M. Gelfandom, A. M. Vershikom)

[72] “Representations of the group of smooth mappings of a manifold $X$ into a compact Lie group”, Compos. Math., 35:3 (1977), 299–334 (with I. M. Gelfand, A. M. Vershik) | MR | Zbl

[73] “Representations of the group of smooth mappings from a manifold $X$ into a compact Lie group”, Soviet Math. Dokl., 18 (1977), 118–121 (with A. M. Vershik, I. M. Gel'fand) | MR | Zbl

[74] Zamechaniya o predstavleniyakh gruppy funktsii so znacheniyami v kompaktnoi gruppe Li, Preprint IPM AN SSSR No 17, 1979 (with I. M. Gelfandom, A. M. Vershikom)

[75] Zadachi integralnoi geometrii, svyazannye s integrirovaniem differentsialnykh po pryamym v $\mathbb R^3$ i $\mathbb C^3$, Preprint IPM AN SSSR No 24, 1979 (with I. M. Gelfandom, S. G. Gindikinym)

[76] Zadachi integralnoi geometrii, svyazannye s integrirovaniem differentsialnykh form po pryamym v trekhmernom proektivnom prostranstve, Preprint IPM AN SSSR No 41, 1979 (with I. M. Gelfandom, S. G. Gindikinym)

[77] Dvoinye rassloeniya i zadachi integralnoi geometrii, svyazannye s integrirovaniem differentsialnykh form po pryamym, Preprint IPM AN SSSR No 60, 1979 (with I. M. Gelfandom, S. G. Gindikinym)

[78] Zadachi integralnoi geometrii v proektivnom prostranstve, svyazannye s integrirovaniem differentsialnykh form, Preprint IPM AN SSSR No 79, 1979 (with I. M. Gelfandom, S. G. Gindikinym)

[79] Nekotorye voprosy, svyazannye s integrirovaniem differentsialnykh form po ploskostyam v $\mathbb{RP}^n$ i $\mathbb{CP}^n$, Preprint IPM AN SSSR No 126, 1979 (with I. M. Gelfandom, S. G. Gindikinym)

[80] Zadachi integralnoi geometrii v affinnom prostranstve, svyazannye s integrirovaniem funktsii po ploskostyam, Preprint IPM AN SSSR No 152, 1979 (with I. M. Gelfandom, S. G. Gindikinym)

[81] “A problem of integral geometry in $\mathbb{RP}^n$, connected with the integration of differential forms”, Funct. Anal. Appl., 13:4 (1979), 288–290 (with I. M. Gel'fand, S. G. Gindikin) | DOI | MR | Zbl

[82] Integralnaya geometriya dlya nekotorykh odnomernykh rassloenii nad proektivnym prostranstvom, Preprint IPM AN SSSR No 24, 1980 (with I. M. Gelfandom, S. G. Gindikinym)

[83] Integralnaya geometriya dlya odnomernykh rassloenii obschego vida nad $\mathbb{RP}^n$, Preprint IPM AN SSSR No 60, 1980 (with I. M. Gelfandom, S. G. Gindikinym)

[84] “Integralnaya geometriya v affinnom i proektivnom prostranstvakh”, Itogi nauki i tekhniki. Sovrem. problemy matem., 16, VINITI SSSR, M., 1980, 53–226 (with I. M. Gelfandom, S. G. Gindikinym) | MR | Zbl

[85] “Admissible $n$-dimensional complexes of curves in $\mathbb R^n$”, Funct. Anal. Appl., 14:4 (1980), 274–281 (with I. M. Gel'fand) | DOI | MR | Zbl

[86] “Representations in the group of functions taking values of a compact Lie group”, Compos. Math., 42:2 (1981), 217–243 (with I. M. Gel'fand, A. M. Vershik)

[87] Integralnye preobrazovaniya, svyazannye s dvumya zamechatelnymi kompleksami pryamykh v proektivnom prostranstve, Preprint IPM AN SSSR No 93, 1982 (with I. M. Gelfandom)

[88] “Nonlocal inversion formulas in a problem of integral geometry related to $p$-dimensional planes in real projective space”, Funct. Anal. Appl., 16:3 (1982), 196–198 (with I. M. Gel'fand, R. Roshu) | DOI | MR | Zbl

[89] “Formula Plansherelya dlya integralnogo preobrazovaniya, svyazannogo s kompleksom pryamykh, peresekayuschikh algebraicheskuyu krivuyu v $\mathbb C^3$ i $\mathbb{CP}^3$”, Dokl. AN ArmSSR, 75:1 (1982), 9–15 (with R. G. Airapetyanom, I. M. Gelfandom, G. R. Oganesyanom) | MR | Zbl

[90] Kommutativnaya model osnovnogo predstavleniya gruppy $\operatorname{SL} (2,\mathbb R)^X$ otnositelno unipotentnoi podgruppy, Preprint IPM AN SSSR No 169, 1982 (with I. M. Gelfandom, A. M. Vershikom)

[91] “Teorema Plansherelya dlya integralnogo preobrazovaniya, svyazannogo s kompleksom $p$-mernykh ploskostei v $\mathbb{CP}^n$”, Dokl. AN ArmSSR, 268:2 (1982), 265–268 (with R. G. Airapetyanom, I. M. Gelfandom, G. R. Oganesyanom)

[92] “A commutative model of representation of the group of flows $SL(2,\mathbb{R})^X$ that is connected with a unipotent subgroup”, Funct. Anal. Appl., 17:2 (1983), 137–139 (with A. M. Vershik, I. M. Gel'fand) | DOI | MR | Zbl

[93] “Kommutativnaya model osnovnogo predstavleniya gruppy $GL (2,\mathbb R)^X$ otnositelno unipotentnoi podgruppy”, Teoretiko-gruppovye metody v fizike, 2, Nauka, M., 1983, 472–487 (with I. M. Gelfandom, A. M. Vershikom) | Zbl

[94] “The problem of integral geometry for $p$-dimensional planes in real projective space (the non-local variant)”, Operator algebras and group representations, Vol. 1 (Neptun, 1980), Monogr. Stud. Math., 17, Pitman, Boston, MA, 1984, 192–207 (with I. M. Gelfand, R. Roshu) | MR | Zbl

[95] The problem of integral geometry and intertwining operators for a pair of real Grassmannian manifolds, Preprint 42, INCREST, Romania, 1983 (with I. M. Gelfand, R. Roshu)

[96] “The problem of integral geometry and intertwining operators for a pair of real Grassmannian manifolds”, J. Operator Theory, 12:2 (1984), 359–383 (with I. M. Gelfand, R. Roshu) | MR | Zbl

[97] “Plancherel theorem for an integral transformation associated with a complex of $p$-dimensional planes in $\mathbb{CP}^n$ and $\mathbb C^n$”, Soviet J. Contemp. Math. Anal., 18:4 (1983), 21–32 (with R. G. Airapetyan, I. M. Gel'fand, G. R. Oganesyan) | MR | Zbl

[98] “Plancherel's theorem for an integral transformation connected with a pair of Grassmann manifolds”, Soviet. J. Contemp. Math. Anal. Arm. Acad. Sci., 19:6 (1984), 53–69 (with R. G. Ajrapetyan, I. M. Gel'fand, G. R. Oganesyan) | MR | Zbl | Zbl

[99] O nekotorykh semeistvakh neprivodimykh unitarnykh predstavlenii gruppy $U(\infty )$, Preprint IPM AN SSSR No 51, 1985 (with I. M. Gelfandom) | MR

[100] “Models of representations of current groups”, Representations of Lie groups and Lie algebras (Budapest, 1971), Akad. Kiadó, Budapest, 1985, 121–179 (with I. M. Gelfand, A. M. Vershik) | MR | Zbl

[101] Opisanie vsekh formul obrascheniya v zadache integralnoi geometrii, svyazannoi s grassmanianom $G_{k,n}$, Preprint IPM AN SSSR No 102, 1986 (with I. M. Gelfandom) | MR

[102] “Teorema dvoistvennosti dlya obschikh gipergeometricheskikh funktsii”, Dokl. AN SSSR, 289:1 (1986), 19–23 (with I. M. Gelfandom) | MR

[103] “Hypergeometric functions associated with the Grassmannian $G_{3,6}$”, Soviet Math. Dokl., 35:2 (1987), 298–303 (with I. M. Gel'fand) | MR | Zbl

[104] Obschie gipergeometricheskie funktsii na grassmaniane $G_{3,6}$, Preprint IPM AN SSSR No 123, 1987 (with I. M. Gelfandom) | MR

[105] Straty v $G_{3,6}$ i svyazannye s nimi obschie gipergeometricheskie funktsii, Preprint IPM AN SSSR No 127, 1987 (with I. M. Gelfandom) | MR

[106] “Holonomic systems of equations and series of hypergeometric type”, Soviet Math. Dokl., 36:1 (1988), 5–10 (with I. M. Gel'fand, A. V. Zelevinskij) | MR | Zbl

[107] “Plancherel formula associated with admissible complex of straight lines in $\mathbb{CP}^3$”, Soviet J. Contemporary Math. Anal., 23:5 (1988), 62–90 (with R. G. Ajrapetyan, M. M. Graev, R. G. Oganesyan) | MR | Zbl

[108] “Integral geometry and separation of continuous and discrete spectra in regular representaton of ${PSL} (2,\mathbb R)$”, J. Geom. Phys., 5:2 (1988), 183–190 | DOI | MR | Zbl

[109] “Hypergeometric functions associated with the Grassmannian $G_{3,6}$”, Math. USSR-Sb., 66:1 (1990), 1–40 (with I. M. Gel'fand) | DOI | MR | Zbl

[110] Integral normalnoi krivizny i formula Plansherelya v 3-mernoi kompleksnoi integralnoi geometrii, Preprint IPM AN SSSR No 149, 1989 (with R. G. Airapetyanom, M. M. Graevym, G. R. Oganesyanom)

[111] $\Gamma$-ryady i obschie gipergeometricheskie funktsii na mnogoobrazii $k \times n$-matrits \, Preprint IPM No 64, 1990 (with I. M. Gelfandom, V. S. Retakhom)

[112] Gipergeometricheskie funktsii na stratakh malykh korazmernostei v $G_{k,n}$, Preprint IPM No 138, 1990 (with I. M. Gelfandom, V. S. Retakhom)

[113] “Principal representatons of the group ${\rm U}(\infty)$”, Adv. Stud. Contemp. Math., 7 (1990), 119–153 (with I. M. Gelfand) | MR | Zbl

[114] “Crofton's function and inversion formulas in real integral geometry”, Funct. Anal. Appl., 25:1 (1991), 1–45 (with I. M. Gel'fand) | DOI | MR | Zbl

[115] “Raznostnye analogi obschikh gipergeometricheskikh funktsii”, XVI shkola po teorii operatorov, N. Novgorod, 1991 (with V. S. Retakhom)

[116] “Reduction formulas for hypergeometric on the Grassmannian $G_{k,n}$, and a description of hypergeometric functions strata of small codimensions”, Soviet Math. Dokl., 43:3 (1991), 757–761 (with I. M. Gel'fand, V. S. Retakh) | MR | Zbl

[117] “Hypergeometric functions on the $k$th exterior power of the space $\mathbb C^n$ and the Grassmannian $G_{k,n}$, and the connection between them”, Soviet Math. Dokl., 44:2 (1992), 375–380 (with I. M. Gel'fand, V. S. Retakh) | MR | Zbl

[118] “Recent developments in the theory of general hypergeometric functions”, Special differential equations, Proceedings of the Taniguchi Workshop (Japan, 1991), 69–76 (with I. M. Gelfand, V. S. Retakh)

[119] “General hypergeometric functions”, Funct. Anal. Appl., 26:2 (1992), 131–133 | DOI | MR | Zbl

[120] “Generalized hypergeometric functions associated with an arbitrary finite or locally compact continuous field”, Dokl. Math., 45:2 (1992), 343–347 (with I. M. Gel'fand, V. S. Retakh) | MR | Zbl

[121] “General hypergeometric systems of equations and series of hypergeometric type”, Russian Math. Surveys, 47:4 (1992), 1–88 (with I. M. Gel'fand, V. S. Retakh) | DOI | MR | Zbl

[122] “Difference analogues and $q$-analogues of general hypergeometric systems of differential equations”, Dokl. Math., 46:1 (1993), 30–35 (with I. M. Gel'fand, V. S. Retakh) | MR | Zbl

[123] “$GG$-functions”, Dokl. Math., 47:1 (1993), 134–138 (with I. M. Gel'fand) | MR | Zbl

[124] “The $q$-hypergeometric equation of Gauss and a description of its series and integral solutions”, Dokl. Math., 48:1 (1994), 40–45 (with I. M. Gel'fand, V. S. Retakh) | MR | Zbl

[125] “Hypergeometric systems of Gelfand-type equations and series in ortogonal polynomials”, Lett. Math. Phys., 28:3 (1993), 195–205 (with V. S. Retakh) | DOI | MR | Zbl

[126] “Reduction formulas for hypergeometric functions associated with the Grassmannian $G_{k,n}$ and description of these functions on strata of small codimension in $G_{k,n}$”, Russian J. Math. Phys., 1:1 (1993), 19–56 (with I. M. Gelfand, V. S. Retakh) | MR | Zbl

[127] “Singular representations of the group $SU(n,1)$ and projective unitary representations of the current group $SU(n,1)^X$”, Dokl. Math., 48:2 (1994), 291–295 (with I. M. Gel'fand) | MR | Zbl

[128] “$(R,S)$-hypergeometric functions of one variable”, Dokl. Math., 48:3 (1994), 591–596 (with I. M. Gel'fand, V. S. Retakh) | Zbl

[129] “Projective representations of the current group ${SU}(1,1)^X$”, Funct. Anal. Appl., 27:4 (1993), 275–277 (with I. M. Gelfand) | DOI | MR | Zbl

[130] “Hypergeometric functions on the external power $\Lambda^k\mathbb C^n$ and on the Grassmannian $G_{k,n}$, their relationships and integral representations”, Russian J. Math. Phys., 1:3 (1993), 289–311 (with I. M. Gelfand, V. S. Retakh) | MR | Zbl

[131] “$(r,s)$-exponentials”, Dokl. Math., 49:3 (1994), 577–581 (with I. M. Gel'fand, V. S. Retakh, S. A. Spirin) | MR | Zbl

[132] “Hypergeometric functions on flag spaces”, Dokl. Math., 50:2 (1995), 204–209 (with I. M. Gel'fand) | MR | Zbl

[133] “Projective nonunitary representations of current groups”, Dokl. Math., 50:2 (1995), 234–239 (with I. M. Gel'fand) | MR | Zbl

[134] “Equations and series of hypergeometric type”, Funct. Anal. Appl., 29:1 (1995), 56–59 | DOI | MR | Zbl

[135] “Hypergeometric functions on the space of $p$-dimensional matrices”, Dokl. Math., 53:1 (1996), 1–4 (with I. M. Gel'fand) | MR | Zbl

[136] “Hypergeometric functions and the Newton polytope associated with the action of the torus $(\mathbb C^*)$ on $\bigwedge^k\mathbb C^n$”, Dokl. Math., 53:3 (1996), 348–351 (with I. M. Gel'fand, S. A. Spirin) | MR | Zbl

[137] “Integral geometry on the space $L^n$, where $L$ is a matrix ring”, Funct. Anal. Appl., 30:4 (1996), 277–280 | DOI | MR | Zbl

[138] “Combinatorics of hypergeometric functions associated with positve roots”, The Arnold–Gelfand mathematical seminars, Birkhäuser, Boston, MA, 1997, 205–221 (with I. M. Gelfand, A. Postnikov) | MR | Zbl

[139] “The problem of integral geometry on $K^3$ related to Fourier analysis on the group ${SL}(2,K)$ where $K$ is an arbitrary continuous locally compact field”, Dokl. Math., 55:1 (1997), 9–11 (with I. M. Gel'fand, M. Zyskin) | MR | Zbl

[140] “$GG$-functions of one variable”, Dokl. Math., 55:3 (1997), 344–346 (with I. M. Gel'fand) | MR | Zbl

[141] “$GG$-functions of several variables and their relation to general hypergeometric functions”, Dokl. Math., 55:3 (1997), 406–409 (with I. M. Gel'fand) | MR | Zbl

[142] “$GG$-functions and their relation to general hypergeometric functions”, Russian Math. Surveys, 52:4 (1997), 639–684 (with I. M. Gel'fand) | DOI | MR | Zbl

[143] “$GG$-functions and their relation to general hypergeometric functions”, Funct. Anal. Appl., 32:1 (1998), 45–48 | DOI | MR | Zbl

[144] “General gamma functions, exponentials, and hypergeometric functions”, Russian Math. Surveys, 53:1 (1998), 1–55 (with I. M. Gel'fand, V. S. Retakh) | DOI | MR | Zbl

[145] “Fourier transforms of rapidly increasing functions and the evaluation of integrals in the theory of $GG$-functions”, Dokl. Math., 57:3 (1998), 439–442 (with I. M. Gel'fand) | MR | Zbl

[146] Intermediate inversion formulas in integral geometry, The Erwin Schrödinger International Institute for Mathematical Physics, Vienna, 1998

[147] “Special functions related to complex Lie groups”, Dokl. Math., 59:1 (1999), 20–23 (with I. M. Gel'fand) | MR | Zbl

[148] “$\Gamma$-polinomy”, Voprosy kibernetiki. Algebra. Gipergeometriya. Veroyatnost. Modelirovanie, M., 1999, 11–30

[149] “$GG$ functions and their relations to general hypergeometric functions”, Lett. Math. Phys., 50:1 (1999), 1–28 (with I. M. Gelfand) | DOI | MR | Zbl

[150] “Louck polynomials and their relation to general hypergeometric functions and $GG$-functions”, Dokl. Math., 61:3 (2000), 336–339 (with I. M. Gel'fand) | MR | Zbl

[151] Izbrannye zadachi integralnoi geometrii, Dobrosvet, M., 2000 (with I. M. Gelfandom, S. G. Gindikinym) | MR

[152] “A problem of integral geometry associated with a triple of Grassmann manifolds”, Funct. Anal. Appl., 34:4 (2000), 299–301 | DOI | MR | Zbl

[153] “Zadachi integralnoi geometrii, svyazannye s vektornymi prostranstvami nad nekotorymi nekommutativnymi koltsami”, Voprosy kibernetiki. Integralnaya geometriya. Matematicheskie modeli. Ponimanie izobrazhenii, Sb. statei, NII sistemnykh issledovanii RAN, M., 2001, 102–125 | MR

[154] “Hypergeometric $\mathscr N$-functions”, Dokl. Math., 64:1 (2001), 6–9 (with I. M. Gel'fand) | MR | Zbl

[155] “$\mathscr N$-functions and their relation to solutions of general hypergeometric systems and $GG$-systems”, Russian Math. Surveys, 56:4 (2001), 615–647 (with I. M. Gel'fand) | DOI | MR | Zbl

[156] “Hypergeometric functions over finite fields”, Dokl. Math., 64:3 (2001), 402–406 (with I. M. Gel'fand) | MR | Zbl

[157] “Relatively closed operators associated with a pair of Grassmannians”, Math. Notes, 71:1–2 (2002), 56–67 | DOI | MR | Zbl

[158] Geometricheskie i topologicheskie struktury na gruppoidakh, NII sistemnykh issledovanii RAN, M., 2002 (with A. V. Koganovym)

[159] “Geometric and topological structures related to universal algebras”, Russian J. Math. Phys., 10:1 (2003), 57–90 (with A. V. Koganov) | MR | Zbl

[160] “Geometric and topological structures related to universal algebras”, Dokl. Math., 68:2 (2003), 182–187 (with A. V. Koganov) | MR | Zbl

[161] “Problems in integral geometry related to vector spaces over some noncommutative rings”, Russian J. Math. Phys., 10:1 (2003), 43–56 | MR | Zbl

[162] “Infinite-dimensional representations of the algebra $\mathfrak{g}\mathfrak{l}(n,\mathbb C)$ and general hypergeometric functions on the group $GL(n,\mathbb C)$ related to complex analogues of the Gel'fand–Tsetlin schemes”, Dokl. Math., 68:2 (2003), 204–210 | MR | Zbl

[163] Selected topics in integral geometry, Transl. Math. Monogr., 220, Amer. Math. Soc., Providence, RI, 2003 (with I. M. Gelfand, S. G. Gindikin) | MR | Zbl

[164] “Infinite-dimensional representations of the Lie algebra $\mathfrak{g}\mathfrak{l}(n,\mathbb C)$ related to complex analogs of the Gelfand–Tsetlin patterns and general hypergeometric functions on the Lie group $GL(n,\mathbb C)$”, Acta Appl. Math., 81:1 (2004), 93–120 | DOI | MR | Zbl

[165] “The Radon transform over locally compact Abelian groups”, Doklady Mathematics, 70:2 (2004), 725–729 | MR

[166] “Hypergeometric functions over an arbitrary field”, Russian Math. Surveys, 59:5 (2004), 831–905 (with I. M. Gel'fand, V. S. Retakh) | DOI | MR | Zbl

[167] “Gamma-ryady, obschie gipergeometricheskie funktsii i $GG$-funktsii”, Matematicheskie issledovaniya, Sb. trudov, ed. V. B. Betelin, NII sistemnykh issledovanii RAN, M., 2005, 3–141

[168] “Geometricheskie reshetki, grafy, topologii i metriki, svyazannye s universalnymi algebrami”, Matematicheskie issledovaniya, Sb. trudov, ed. V. B. Betelin, NII sistemnykh issledovanii RAN, M., 2005, 142–196 (with A. V. Koganovym)

[169] “General hypergeometric functions of matrices and their connection to representations of linear groups and Lie algebras”, Acta Appl. Math., 86:1–2 (2005), 3–19 | DOI | MR | Zbl

[170] “A commutative model of a representation of the group $O(n, 1)^x$ and a generalized Lebesgue measure in the space of distributions”, Funct. Anal. Appl., 39:2 (2005), 81–90 (with A. M. Vershik) | DOI | MR | Zbl

[171] “The basic representation of the current group $O(n,1)^X $ in the $L^2$ space over the generalized Lebesgue measure”, Indag. Math., 16:3–4 (2005), 499–529 (with A. M. Vershik) | DOI | MR | Zbl

[172] “Structure of the complementary series and special representations of the groups $O(n,1)$ and $U(n,1)$”, Russian Math. Surveys, 61:5 (2006), 799–884 (with A. M. Vershik) | DOI | MR

[173] “A Continuous Analogue of Gelfand–Tsetlin Schemes and a Realization of the Principal Series of Irreducible Unitary Representations of the Group $GL(n, C)$ in the Space of Functions on the Variety of These Schemes”, Doklady Mathematics, 75:1 (2007), 31–35 | DOI

[174] “Integralnye preobrazovaniya na gruppakh $GL(n,\mathbb R)$ i $GL(n,\mathbb C)$, svyazannye s ikh nilpotentnymi podgruppami”, Vestn. TambGU, 12:2 (2007), 215–221 (with S. V. Koltsovoi)