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Found 57 Documents (Results 1–57)

On one representation of a generalized holomorphic vector via the derivatives of harmonic functions. (English. Ukrainian original) Zbl 1514.35154

J. Math. Sci., New York 272, No. 1, 29-37 (2023); translation from Mat. Metody Fiz.-Mekh. Polya 63, No. 2, 29-35 (2020).
MSC:  35J46 31A05 30G35
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Carleman’s formula for solutions of generalized Cauchy-Riemann systems in multidimensional spatial domains. (English. Russian original) Zbl 1498.35243

J. Math. Sci., New York 265, No. 1, 90-102 (2022); translation from Sovrem. Mat., Fundam. Napravl. 65, No. 1, 95-108 (2019).
MSC:  35J56 30G20
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On the recovery of solutions of a generalized Cauchy-Riemann system in a multidimensional spatial domain from their values on a piece of the boundary of this domain. (English. Russian original) Zbl 1480.30035

Math. Notes 110, No. 3, 393-408 (2021); translation from Mat. Zametki 110, No. 3, 405-423 (2021).
MSC:  30G20 35F45 35N10
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Hilbert problem for the Cauchy-Riemann equation with a singular circle and a singular point. (English. Russian original) Zbl 1433.30116

J. Math. Sci., New York 241, No. 3, 327-339 (2019); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 139, 79-90 (2017).
MSC:  30G20 30E25 35J46
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Boundary value problems for a model system of first-order equations in three-dimensional space. (English. Russian original) Zbl 1331.35255

Differ. Equ. 51, No. 5, 645-651 (2015); translation from Differ. Uravn. 51, No. 5, 635-641 (2015).
MSC:  35Q15 35J56
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Quantitative transfer of smallness for solutions of elliptic equations with analytic coefficients and their gradients. (English) Zbl 1188.31005

Begehr, H. G. W. (ed.) et al., More progresses in analysis. Proceedings of the 5th international ISAAC congress, Catania, Italy, July 25–30, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-283-562-8/hbk). 1185-1193 (2009).
MSC:  31B35 35J46
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Inhomogeneous Cauchy-Riemann system of quaternion and Clifford analysis. (English) Zbl 1159.30031

Le Hung Son (ed.) et al., Function spaces in complex and Clifford analysis. Proceedings of the 14th international conference on finite or infinite dimensional complex analysis and applications (ICFICCA 2006), Hue, Vietnam, August 1–5, 2007. Hanoi: National University Publishers. 127-155 (2008).
MSC:  30G35 35N05 32L10
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Asymptotic growth analysis of some PDE related to higher dimensional Dirac type equations. I. (English) Zbl 1088.35053

Simos, Theodore S. (ed.) et al., ICNAAM 2005. International conference on numerical analysis and applied mathematics 2005. Official conference of the European Society of Computational Methods in Sciences and Engineering (ESCMSE), Rhodes, Greek, September 16–20, 2005. Weinheim: Wiley-VCH (ISBN 3-527-40652-2/hbk). 133-136 (2005).
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Extension theorems for monogenic functions with parameter taking values in a Clifford algebra. (English) Zbl 1074.30529

Begehr, Heinrich G. W. (ed.) et al., Proceedings of the second ISAAC congress. Vol. 2. Proceedings of the International Society for Analysis, its Applications and Computation Congress, Fukuoka, Japan, August 16–21, 1999. Dordrecht: Kluwer Academic Publishers (ISBN 0-7923-6598-4/hbk). Int. Soc. Anal. Appl. Comput. 8, 1459-1469 (2000).
MSC:  30G35 35N05
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Series expansions for solutions of systems of Cauchy-Riemann equations. (Reihenentwicklungen für Lösungen Cauchy-Riemannscher Differentialgleichungssysteme.) (German) Zbl 0864.30036

Renelt, Heinrich (ed.) et al., Reiner Kühnau zum 60. Geburtstag gewidmet. Gießen: Selbstverlag des Math. Instituts, Univ. Gießen, Mitt. Math. Semin. Gießen. 228, 31-38 (1996).
Reviewer: R.Kühnau (Halle)
MSC:  30G20
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A progress report on analytic hypoellipticity. (English) Zbl 0924.47029

Noguchi, J. (ed.) et al., Geometric complex analysis. Proceedings of the conference held at the 3rd International Research Institute of the Mathematical Society of Japan, Hayama, March 19–29, 1995. Singapore: World Scientific. 123-146 (1996).
MSC:  47F05 65H10 35J99 35D10
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Elliptic boundary problems for Cauchy-Riemann systems. (English) Zbl 0871.35024

Sprössig, Wolfgang (ed.) et al., Proceedings of the symposium on analytical and numerical methods in quaternionic and Clifford analysis, June 5–7, 1996, Seiffen, Germany. Freiberg: TU Bergakademie Freiberg, 77-83 (1996).
MSC:  35F15 15A66
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Boundary value problems for generalized Cauchy-Riemann systems in the space. (English) Zbl 0792.35022

Kühnau, R. (ed.) et al., Boundary value and initial value problems in complex analysis: studies in complex analysis and its applications to partial differential equations 1. Papers from the 5th conference on complex analysis, held in Halle, Germany, in December 1988. Harlow: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 256, 159-183 (1991).
MSC:  35E20 32V05 11E88
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Generalized analytic functions. 2nd ed., rev.. Ed. by O. A. Olejnik and B. V. Shabat. (Обобщенные аналитические функции.) (Russian) Zbl 0698.47036

Moskva: Nauka. 512 p. (1988).
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Some overdetermined systems of partial differential equations with two unknown functions. (Nekotorye neopredelennye sistemy uravnenij v chastnykh proizvodnykh s dvumya neizvestnymi funktsiyami.) (Russian) Zbl 0703.35125

Dushanbe: Donish. 116 p. R. 1.30 (1986).
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