Holomorphic continuation of functions in the domains with singular boundaries
We consider bounded domains
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| Vydáno v: | Topics in Several Complex Variables Ročník 662; s. 107 - 115 |
|---|---|
| Hlavní autor: | |
| Médium: | Kapitola |
| Jazyk: | angličtina |
| Vydáno: |
Providence, Rhode Island
American Mathematical Society
20.04.2016
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| Edice: | Contemporary Mathematics |
| Témata: | |
| ISBN: | 1470419270, 9781470419271 |
| ISSN: | 0271-4132, 1098-3627 |
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| Abstract | We consider bounded domains |
|---|---|
| AbstractList | We consider bounded domains |
| Author | Djumabaev, D. Kh |
| Author_xml | – sequence: 1 givenname: D. Kh surname: Djumabaev fullname: Djumabaev, D. Kh organization: Department of Mechanics and Mathematics, National University of Uzbekistan, Tashkent, Uzbekistan 100174 |
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| EISBN | 1470430010 9781470430016 |
| EISSN | 1098-3627 |
| Editor | Levenberg, Norman Pinchuk, Sergey Sadullaev, Azimbay Ibragimov, Zair |
| Editor_xml | – sequence: 1 givenname: Zair surname: Ibragimov fullname: Ibragimov, Zair organization: California State University, Fullerton, CA – sequence: 2 givenname: Norman surname: Levenberg fullname: Levenberg, Norman organization: Indiana University, Bloomington, IN – sequence: 3 givenname: Sergey surname: Pinchuk fullname: Pinchuk, Sergey organization: Indiana University, Bloomington, IN – sequence: 4 givenname: Azimbay surname: Sadullaev fullname: Sadullaev, Azimbay organization: National University of Uzbekistan, Tashkent, Uzbekistan |
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| Keywords | Bochner-Martinelli integral holomorphic extension Singular wedge |
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| PublicationPlace | Providence, Rhode Island |
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| PublicationTitle | Topics in Several Complex Variables |
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| Publisher | American Mathematical Society |
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| References | Alexander Kytmanov, Simona Myslivets, and Nikolai Tarkhanov, Analytic representation of CR functions on hypersurfaces with singularities, Math. Nachr. 244 (2002), 170–183. MR 1928923 (2003i:32053), DOI 10.1002/1522-2616(200210)244:1⟨\langle170::AID-MANA170⟩\rangle3.0.CO;2-4 V. S. Vinogradov, An analog of the Cauchy type integral for analytic functions of several complex variables, Dokl. Akad. Nauk SSSR 178 (1968), 282–285 (Russian). MR 0227459 (37 \#3043) A. M. Kytmanov and L. A. Aĭzenberg, The holomorphy of continuous functions that are representable by the Martinelli-Bochner integral, Izv. Akad. Nauk Armjan. SSR Ser. Mat. 13 (1978), no. 2, 158–169, 173 (Russian, with Armenian and English summaries). MR 0589235 (58 \#28612) S. Bochner, Analytic and meromorphic continuation by means of Green’s formula, Ann. of Math. (2) 44 (1943), 652–673. MR 0009206 (5,116f) A. M. Kytmanov, A criterion for the holomorphy of an integral of Martinelli-Bochner type, Combinatorial and asymptotic analysis (Russian), Krasnojarsk. Gos. Univ., Krasnoyarsk, 1975, pp. 169–177 (Russian). MR 0589234 (58 \#28611) G. M. Henkin and E. M. Čirka, Boundary properties of holomorphic functions of several complex variables, Current problems in mathematics, Vol. 4 (Russian), Akad. Nauk SSSR Vsesojuz. Inst. Naučn. i Tehn. Informacii, Moscow, 1975, pp. 12–142. (errata insert) (Russian). MR 0477155 (57 \#16698) Alexander M. Kytmanov, The Bochner-Martinelli integral and its applications, Birkhäuser Verlag, Basel, 1995. Translated from the Russian by Harold P. Boas and revised by the author. MR 1409816 (97f:32004), DOI 10.1007/978-3-0348-9094-6 A. M. Aronov and Š. A. Dautov, On a result of B. Weinstock, Properties of holomorphic functions of several complex variables (Russian), Inst. Fiz. Sibirsk. Otdel. Akad. Nauk SSSR, Krasnoyarsk, 1973, pp. 193–195, 239 (Russian). MR 0463499 (57 \#3448) Gaetano Fichera, Caratterizzazione della traccia, sulla frontiera di un campo, di una funzione analitica di più variabili complesse, Atti Accad. Naz. Lincei. Rend. Cl. Sci. Fis. Mat. Nat. (8) 22 (1957), 706–715 (Italian). MR 0093597 (20 \#121) D. Kh. Dzhumabaev, Holomorphic continuation of functions from closed hypersurfaces with singular edges, Izv. Vyssh. Uchebn. Zaved. Mat. 1 (2012), 12–21 (Russian, with English and Russian summaries); English transl., Russian Math. (Iz. VUZ) 56 (2012), no. 1, 9–18. MR 2975913, DOI 10.3103/S1066369X12010021 Barnet M. Weinstock, Continuous boundary values of analytic functions of several complex variables, Proc. Amer. Math. Soc. 21 (1969), 463–466. MR 0237825 (38 \#6106) Lars Hörmander, An introduction to complex analysis in several variables, Second revised edition, North-Holland Publishing Co., Amsterdam-London; American Elsevier Publishing Co., Inc., New York, 1973. North-Holland Mathematical Library, Vol. 7. MR 0344507 (49 \#9246) Enzo Martinelli, Sopra una dimostrazione di R. Fueter per un teorema di Hartogs, Comment. Math. Helv. 15 (1943), 340–349 (Italian). MR 0010729 (6,61d) |
| References_xml | – reference: D. Kh. Dzhumabaev, Holomorphic continuation of functions from closed hypersurfaces with singular edges, Izv. Vyssh. Uchebn. Zaved. Mat. 1 (2012), 12–21 (Russian, with English and Russian summaries); English transl., Russian Math. (Iz. VUZ) 56 (2012), no. 1, 9–18. MR 2975913, DOI 10.3103/S1066369X12010021 – reference: Lars Hörmander, An introduction to complex analysis in several variables, Second revised edition, North-Holland Publishing Co., Amsterdam-London; American Elsevier Publishing Co., Inc., New York, 1973. North-Holland Mathematical Library, Vol. 7. MR 0344507 (49 \#9246) – reference: A. M. Kytmanov, A criterion for the holomorphy of an integral of Martinelli-Bochner type, Combinatorial and asymptotic analysis (Russian), Krasnojarsk. Gos. Univ., Krasnoyarsk, 1975, pp. 169–177 (Russian). MR 0589234 (58 \#28611) – reference: S. Bochner, Analytic and meromorphic continuation by means of Green’s formula, Ann. of Math. (2) 44 (1943), 652–673. MR 0009206 (5,116f) – reference: G. M. Henkin and E. M. Čirka, Boundary properties of holomorphic functions of several complex variables, Current problems in mathematics, Vol. 4 (Russian), Akad. Nauk SSSR Vsesojuz. Inst. Naučn. i Tehn. Informacii, Moscow, 1975, pp. 12–142. (errata insert) (Russian). MR 0477155 (57 \#16698) – reference: Gaetano Fichera, Caratterizzazione della traccia, sulla frontiera di un campo, di una funzione analitica di più variabili complesse, Atti Accad. Naz. Lincei. Rend. Cl. Sci. Fis. Mat. Nat. (8) 22 (1957), 706–715 (Italian). MR 0093597 (20 \#121) – reference: Enzo Martinelli, Sopra una dimostrazione di R. Fueter per un teorema di Hartogs, Comment. Math. Helv. 15 (1943), 340–349 (Italian). MR 0010729 (6,61d) – reference: Alexander M. Kytmanov, The Bochner-Martinelli integral and its applications, Birkhäuser Verlag, Basel, 1995. Translated from the Russian by Harold P. Boas and revised by the author. MR 1409816 (97f:32004), DOI 10.1007/978-3-0348-9094-6 – reference: Barnet M. Weinstock, Continuous boundary values of analytic functions of several complex variables, Proc. Amer. Math. Soc. 21 (1969), 463–466. MR 0237825 (38 \#6106) – reference: V. S. Vinogradov, An analog of the Cauchy type integral for analytic functions of several complex variables, Dokl. Akad. Nauk SSSR 178 (1968), 282–285 (Russian). MR 0227459 (37 \#3043) – reference: Alexander Kytmanov, Simona Myslivets, and Nikolai Tarkhanov, Analytic representation of CR functions on hypersurfaces with singularities, Math. Nachr. 244 (2002), 170–183. MR 1928923 (2003i:32053), DOI 10.1002/1522-2616(200210)244:1⟨\langle170::AID-MANA170⟩\rangle3.0.CO;2-4 – reference: A. M. Kytmanov and L. A. Aĭzenberg, The holomorphy of continuous functions that are representable by the Martinelli-Bochner integral, Izv. Akad. Nauk Armjan. SSR Ser. Mat. 13 (1978), no. 2, 158–169, 173 (Russian, with Armenian and English summaries). MR 0589235 (58 \#28612) – reference: A. M. Aronov and Š. A. Dautov, On a result of B. Weinstock, Properties of holomorphic functions of several complex variables (Russian), Inst. Fiz. Sibirsk. Otdel. Akad. Nauk SSSR, Krasnoyarsk, 1973, pp. 193–195, 239 (Russian). MR 0463499 (57 \#3448) |
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| Title | Holomorphic continuation of functions in the domains with singular boundaries |
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