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@article{MZM_2018_103_2_a1, author = {V. V. Volchkov and Vit. V. Volchkov}, title = {An {Analog} of the {Brown--Schreiber--Taylor} {Theorem} for {Weighted} {Hyperbolic} {Shifts}}, journal = {Matemati\v{c}eskie zametki}, pages = {172--185}, publisher = {mathdoc}, volume = {103}, number = {2}, year = {2018}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MZM_2018_103_2_a1/} }
TY - JOUR AU - V. V. Volchkov AU - Vit. V. Volchkov TI - An Analog of the Brown--Schreiber--Taylor Theorem for Weighted Hyperbolic Shifts JO - Matematičeskie zametki PY - 2018 SP - 172 EP - 185 VL - 103 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_2018_103_2_a1/ LA - ru ID - MZM_2018_103_2_a1 ER -
V. V. Volchkov; Vit. V. Volchkov. An Analog of the Brown--Schreiber--Taylor Theorem for Weighted Hyperbolic Shifts. Matematičeskie zametki, Tome 103 (2018) no. 2, pp. 172-185. http://geodesic.mathdoc.fr/item/MZM_2018_103_2_a1/
[1] L. Zalcman, “A bibliographic survey of the Pompeiu problem”, Approximation by Solutions of Partial Differential Equations, NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 365, Kluwer, Dordrecht, 1992, 185–194 | MR | Zbl
[2] L. Zalcman, “Supplementary bibliography to "A bibliographic survey of the Pompeiu problem”, Radon Transform and Tomography, Contemp. Math., 278, Amer. Math. Soc., Providence, RI, 2001, 69–74 | DOI | MR | Zbl
[3] K. A. Berenstein, D. Struppa, “Kompleksnyi analiz i uravneniya v svertkakh”, Kompleksnyi analiz – mnogie peremennye – 5, Itogi nauki i tekhn. Ser. Sovrem. probl. mat. Fundam. napravleniya, 54, VINITI, M., 1989, 5–111 | MR | Zbl
[4] V. V. Volchkov, Integral Geometry and Convolution Equations, Dordrecht, Kluwer Acad. Publ., 2003 | MR | Zbl
[5] V. V. Volchkov, Vit. V. Volchkov, Harmonic Analysis of Mean Periodic Functions on Symmetric Spaces and the Heisenberg Group, Springer, London, 2009 | MR | Zbl
[6] V. V. Volchkov, Vit. V. Volchkov, Offbeat Integral Geometry on Symmetric Spaces, Birkhäuser, Basel, 2013 | MR | Zbl
[7] L. Brown, B. M. Schreiber, B. A. Taylor, “Spectral synthesis and the Pompeiu problem”, Ann. Inst. Fourier (Grenoble), 23:3 (1973), 125–154 | DOI | MR | Zbl
[8] S. C. Bagchi, A. Sitaram, “Spherical mean periodic functions on semisimple Lie groups”, Pacific J. Math., 84:2 (1979), 241–250 | DOI | MR | Zbl
[9] S. C. Bagchi, A. Sitaram, “The Pompeiu problem revisited”, Enseign. Math. (2), 36:2 (1990), 67–91 | MR | Zbl
[10] S. Khelgason, Differentsialnaya geometriya i simmetricheskie prostranstva, Mir, M., 1964 | MR | Zbl
[11] C. A. Berenstein, L. Zalcman, “Pompeiu's problem on symmetric spaces”, Comment. Math. Helv., 55:4 (1980), 593–621 | DOI | MR | Zbl
[12] N. Peyerimhoff, E. Samiou, “Spherical spectral synthesis and two-radius theorems on Damek–Ricci spaces”, Ark. Mat., 48:1 (2010), 131–147 | DOI | MR | Zbl
[13] S. Thangavelu, “Mean periodic functions on phase space and the Pompeiu problem with a twist”, Ann. Inst. Fourier (Grenoble), 45:4 (1995), 1007–1035 | DOI | MR | Zbl
[14] V. V. Volchkov, Vit. V. Volchkov, “Uravneniya svertki na mnogomernykh oblastyakh i redutsirovannoi gruppe Geizenberga”, Matem. sb., 199:8 (2008), 29–60 | DOI | MR | Zbl
[15] V. V. Volchkov, Vit. V. Volchkov, “Spektralnyi analiz na gruppe konformnykh avtomorfizmov edinichnogo kruga”, Matem. sb., 207:7 (2016), 57–80 | DOI | MR | Zbl
[16] C. A. Berenstein, D. Pascuas, “Morera and mean-value type theorems in the hyperbolic disk”, Israel J. Math., 86:1-3 (1994), 61–106 | DOI | MR | Zbl
[17] G. Beitmen, A. Erdeii, Vysshie transtsendentnye funktsii. Gipergeometricheskaya funktsiya. Funktsii Lezhandra, Spravochnaya matematicheskaya biblioteka, Nauka, M., 1973 | MR | Zbl
[18] S. Khelgason, Gruppy i geometricheskii analiz, Mir, M., 1987 | MR | Zbl
[19] L. Schwartz, “Théorie générale des fonctions moyenne-périodique”, Ann. of Math. (2), 48 (1947), 857–929 | DOI | MR | Zbl
[20] T. H. Koornwinder, “Jacobi functions and analysis on noncompact semisimple Lie groups”, Special Functions: Group Theoretical Aspects and Applications, D. Reidel Publ., Dordrecht, 1984, 1–85 | MR | Zbl
[21] L. Khermander, Analiz lineinykh differentsialrykh operatorov s chastnymi proizvodnymi. T. 1. Teoriya raspredelenii i analiz Fure, Mir, M., 1986 | MR | Zbl
[22] S. Helgason, Integral Geometry and Radon Transforms, Springer, New York, 2011 | MR | Zbl