@article{RM_2012_67_1_a2,
author = {M. S. Agranovich and L. A. Aizenberg and G. L. Alfimov and M. I. Vishik and T. Voronov and A. V. Karabegov and M. V. Karasev and A. A. Komech and V. P. Maslov and V. V. Pukhnachov and D. E. Tamarkin and N. N. Tarkhanov and B. L. Tsygan and M. A. Shubin},
title = {Boris {Vasil'evich} {Fedosov} (obituary)},
journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
pages = {167--174},
year = {2012},
volume = {67},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/RM_2012_67_1_a2/}
}
TY - JOUR AU - M. S. Agranovich AU - L. A. Aizenberg AU - G. L. Alfimov AU - M. I. Vishik AU - T. Voronov AU - A. V. Karabegov AU - M. V. Karasev AU - A. A. Komech AU - V. P. Maslov AU - V. V. Pukhnachov AU - D. E. Tamarkin AU - N. N. Tarkhanov AU - B. L. Tsygan AU - M. A. Shubin TI - Boris Vasil'evich Fedosov (obituary) JO - Trudy Matematicheskogo Instituta imeni V.A. Steklova PY - 2012 SP - 167 EP - 174 VL - 67 IS - 1 UR - http://geodesic.mathdoc.fr/item/RM_2012_67_1_a2/ LA - en ID - RM_2012_67_1_a2 ER -
%0 Journal Article %A M. S. Agranovich %A L. A. Aizenberg %A G. L. Alfimov %A M. I. Vishik %A T. Voronov %A A. V. Karabegov %A M. V. Karasev %A A. A. Komech %A V. P. Maslov %A V. V. Pukhnachov %A D. E. Tamarkin %A N. N. Tarkhanov %A B. L. Tsygan %A M. A. Shubin %T Boris Vasil'evich Fedosov (obituary) %J Trudy Matematicheskogo Instituta imeni V.A. Steklova %D 2012 %P 167-174 %V 67 %N 1 %U http://geodesic.mathdoc.fr/item/RM_2012_67_1_a2/ %G en %F RM_2012_67_1_a2
M. S. Agranovich; L. A. Aizenberg; G. L. Alfimov; M. I. Vishik; T. Voronov; A. V. Karabegov; M. V. Karasev; A. A. Komech; V. P. Maslov; V. V. Pukhnachov; D. E. Tamarkin; N. N. Tarkhanov; B. L. Tsygan; M. A. Shubin. Boris Vasil'evich Fedosov (obituary). Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 67 (2012) no. 1, pp. 167-174. http://geodesic.mathdoc.fr/item/RM_2012_67_1_a2/
[1] “Asymptotic formulas for the eigenvalues of the Laplace operator in the case of a polyhedron”, Soviet Math. Dokl., 5 (1964), 988–990 | Zbl
[2] “Asymptotische Formel für die Eigenwerte einer Kreismembran”, Differ. Equations, 1 (1965), 1326–1329 (with N. V. Kuznetsov) | Zbl
[3] “Index of an elliptic system on a manifold”, Funct. Anal. Appl., 4:4 (1970), 312–320 | DOI | MR | Zbl
[4] “Analytic formulas for the index of elliptic operators”, Trans. Mosc. Math. Soc., 30 (1974), 159–240 | Zbl
[5] “An analytic formula for the index of an elliptic boundary-value problem”, Math. USSR-Sb., 22:1 (1974), 61–90 ; Р§. II, МатРμРј. СЃР±., 95(137):4(12) (1974), 525–550 | DOI | DOI | DOI | MR | MR | MR | Zbl | Zbl | Zbl
[6] Math. USSR-Sb., 24:4 (1974), 511–535 ; Р§. III, МатРμРј. СЃР±., 101(143):3(11) (1976), 380–401 | DOI | DOI | DOI | MR | MR | MR | Zbl | Zbl | Zbl
[7] Math. USSR-Sb., 30:3 (1976), 341–359 | DOI | DOI | DOI | MR | MR | MR | Zbl | Zbl | Zbl
[8] “A periodicity theorem in the algebra of symbols”, Math. USSR-Sb., 34:3 (1978), 382–410 | DOI | MR | Zbl | Zbl
[9] “The index of random elliptic operators. I”, Math. USSR-Sb., 34:5 (1978), 671–699 (with M. A. Shubin) ; Р§. II, МатРμРј. cР±., 106(148):3(7) (1978), 455–483 (СЃРѕРІРј. СЃ Рњ. Рђ. Шубиным) | DOI | DOI | MR | MR | Zbl | Zbl | Zbl | Zbl
[10] Math. USSR-Sb., 35:1 (1979), 131–156 (with M. A. Shubin) | DOI | DOI | MR | MR | Zbl | Zbl | Zbl | Zbl
[11] “Formalnoe kvantovanie”, Nekotorye zadachi v sovremennoi matematiki i ikh primeneniya k zadacham matematicheskoi fiziki, Izd-vo MFTI, M., 1985, 129–136 | MR
[12] “Teorema ob indekse v algebre kvantovykh nablyudaemykh”, Nekotorye voprosy matematiki v zadachakh fiziki i mekhaniki, Izd-vo MFTI, M., 1988, 83–90 | MR
[13] “Deformation quantization and asymptotic operator representation”, Funct. Anal. Appl., 25:3 (1991), 184–194 | DOI | MR | Zbl
[14] “Index theorems”, Partial differential equations VIII, Encycl. Math. Sci., 65, 1996, 155–251 | MR | Zbl
[15] “A trace formula for the Schrödinger operator”, Russian J. Math. Phys., 1:4 (1993), 447–463 | MR | Zbl
[16] “A simple geometrical construction of deformation quantization”, J. Differential Geom., 40:2 (1994), 213–238 | MR | Zbl
[17] “Reduction and eigenstates in deformation quantization”, Pseudo-differential calculus and mathematical physics, Math. Top., 5, Akademie-Verlag, Berlin, 1994, 277–297 | MR | Zbl
[18] “The noncommutative residue for manifolds with boundary”, J. Funct. Anal., 142:1 (1996), 1–31 (with F. Golse, E. Leichtnam, E. Schrohe) | DOI | MR | Zbl
[19] Deformation quantization and index theory, Math. Top., 9, Akademie-Verlag, Berlin, 1996, 325 pp. | MR | Zbl
[20] “Non-abelian reduction in deformation quantization”, Lett. Math. Phys., 43:2 (1998), 137–154 | DOI | MR | Zbl
[21] “The index of elliptic operators on manifolds with conical points”, Selecta Math. (N.S.), 5:4 (1999), 467–506 (with B.-W. Schulze, N. Tarkhanov) | DOI | MR | Zbl
[22] Moduli spaces and deformation quantization in infinite dimensions, Preprint 98/27, Institut für Mathematik, Universität Potsdam, 1998, 40 pp. http://opus.kobv.de/ubp/volltexte/2008/2539/
[23] “The Atiyah–Bott–Patodi method in deformation quantization”, Comm. Math. Phys., 209:3 (2000), 691–728 | DOI | MR | Zbl
[24] “On $G$-trace and $G$-index in deformation quantization”, Lett. Math. Phys., 52:1 (2000), 29–49 | DOI | MR | Zbl
[25] “Pseudo-differential operators and deformation quantization”, Quantization of singular symplectic quotients, Progr. Math., 198, Birkhäuser, Basel, 2001, 95–118 | MR | Zbl
[26] “Analytic index formulas for elliptic corner operators”, Ann. Inst. Fourier (Grenoble), 52:3 (2002), 899–982 (with B.-W. Schulze, N. Tarkhanov) | DOI | MR | Zbl
[27] “On the trace density in deformation quantization”, Deformation Quantization (Strasbourg, 2001), IRMA Lect. Math. Theor. Phys., 1, de Gruyter, Berlin, 2002, 67–83 | MR | Zbl
[28] “On the index theorem for symplectic orbifolds”, Ann. Inst. Fourier (Grenoble), 54:5 (2004), 1601–1639 (with B.-W. Schulze, N. Tarkhanov) | DOI | MR | Zbl
[29] “On a spectral theorem for deformation quantization”, Int. J. Geom. Methods Mod. Phys., 3:8 (2006), 1609–1626 | DOI | MR | Zbl
[30] “On perturbations of Morse Hamiltonians”, Int. J. Geom. Methods Mod. Phys., 4:8 (2007), 1269–1283 (with T. Ispiryan) | DOI | MR | Zbl
[31] Deformatsionnoe kvantovanie i kraevye zadachi (nezakonchennaya rabota s N. N. Tarkhanovym)
[32] Towards direct proof of the index theorem for deformation quantization (neopublikovannaya rabota)