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Found 281 Documents (Results 1–100)

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An analog of the Menchov-Trokhimchuk theorem for monogenic functions in a three-dimensional commutative algebra. (English. Ukrainian original) Zbl 07491011

Ukr. Math. J. 73, No. 8, 1299-1308 (2022); translation from Ukr. Mat. Zh. 73, No. 8, 1120-1128 (2021).
MSC:  30G35 30A05
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Mean value theorems for polynomial solutions of linear elliptic equations with constant coefficients in the complex plane. (English. Ukrainian original) Zbl 1462.30003

J. Math. Sci., New York 254, No. 3, 439-443 (2021); translation from Ukr. Mat. Visn. 17, No. 4, 594-600 (2020).
MSC:  30A05 30A99
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Series expansions for monogenic functions in Clifford algebras and their application. (English. Ukrainian original) Zbl 1461.30119

J. Math. Sci., New York 252, No. 4, 502-507 (2021); translation from Ukr. Mat. Visn. 17, No. 3, 365-371 (2020).
MSC:  30G35 30A05
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Cauchy’s formula in Clifford analysis: an overview. (English) Zbl 1461.30114

Bernstein, Swanhild (ed.), Topics in Clifford analysis. Special volume in honor of Wolfgang Sprößig on the occasion of his 70th birthday. Cham: Birkhäuser. Trends Math., 3-23 (2019).
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Monogenic functions in commutative algebras. (English) Zbl 1428.30054

Lindahl, Karl-Olof (ed.) et al., Analysis, probability, applications, and computation. Proceedings of the 11th ISAAC congress, Växjö, Sweden, August 14–18, 2017. Cham: Birkhäuser. Trends Math., 171-178 (2019).
MSC:  30G35 30A05
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Morera-type theorems in the hyperbolic disc. (English. Russian original) Zbl 1402.30002

Izv. Math. 82, No. 1, 31-60 (2018); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 82, No. 1, 34-64 (2018).
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Multi \(Mq\)-monogenic function in different dimension. (English) Zbl 1314.30093

Bernstein, Swanhild (ed.) et al., Hypercomplex analysis: new perspectives and applications. Selected papers presented at the session on Clifford and quaternionic analysis at the 9th congress of the International Society for Analysis, its Applications, and Computation (ISAAC), Krakow, Poland, August 5–9, 2013. New York, NY: Birkhäuser/Springer (ISBN 978-3-319-08770-2/hbk; 978-3-319-08771-9/ebook). Trends in Mathematics, 61-73 (2014).
MSC:  30G35 30A05
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Commutative algebras of monogenic functions associated with classic equations of mathematical physics. (English) Zbl 1254.30085

Agranovsky, Mark (ed.) et al., Complex analysis and dynamical systems IV. Part 1. Function theory and optimization. Proceedings of the 4th international conference on complex analysis and dynamical systems, Nahariya, Israel, May 18–22, 2009. Providence, RI: American Mathematical Society (AMS); Ramat Gan: Bar-Ilan University (ISBN 978-0-8218-5196-8/pbk). Contemporary Mathematics 553. Israel Mathematical Conference Proceedings, 245-258 (2011).
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A hyperbolic interpretation of Cauchy-type kernels in hyperbolic function theory. (English) Zbl 1220.30001

Sabadini, Irene (ed.) et al., Hypercomplex analysis and applications. Selected papers presented at the session ‘Clifford and quaternionic analysis’ of the 7th ISAAC conference, London, UK, July 2009. Basel: Birkhäuser (ISBN 978-3-0346-0245-7/hbk). Trends in Mathematics, 43-59 (2011).
MSC:  30A05 30F45
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Vector valued holomorphic and CR functions. (English) Zbl 1216.46040

Barletta, Elisabetta (ed.), Lecture notes of Seminario Interdisciplinare di Matematica. Vol. VIII. Potenza: Università degli Studi della Basilicata, Dipartimento di Matematica (ISBN 978-88-902965-7-4/pbk). Lecture Notes of Seminario Interdisciplinare di Matematica 8, 69-100 (2009).
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Cauchy-type integral formulas for \(k\)-hypermonogenic functions. (English) Zbl 1185.30053

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). 1051-1064 (2009).
MSC:  30G35 30A05 30F45
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Hypermonogenic functions and their dual functions. (English) Zbl 1168.30328

Sabadini, Irene (ed.) et al., Hypercomplex analysis. Selected papers of the 6th ISAAC conference, Ankara, Turkey, August 13–18, 2007. Basel: Birkhäuser (ISBN 978-3-7643-9892-7/hbk; 978-3-7643-9893-4/e-book). Trends in Mathematics, 137-149 (2009).
MSC:  30G35 30A05
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Hyperbolic harmonic functions and their function theory. (English) Zbl 1199.30268

Bakry, D. (ed.) et al., Potential theory and stochastics in Albac. Aurel Cornea memorial volume. Conference proceedings, Albac, Romania, September 4–8, 2007. Bucharest: Theta (ISBN 978-973-87899-5-1). Theta Series in Advanced Mathematics 11, 85-100 (2009).
MSC:  30G35 30A05 30F45
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Geometric approach in the theory of generalized quasiconformal mappings. (English) Zbl 1153.30017

Aliyev Azeroğlu, Tahir (ed.) et al., Complex analysis and potential theory. Proceedings of the conference satellite to ICM 2006, Gebze, Turkey, September 8–14, 2006. Hackensack, NJ: World Scientific (ISBN 978-981-270-598-3/hbk). 148-155 (2007).
MSC:  30C62 30A05
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Sets of removable singular points of solutions to linear partial differential equations. (Russian, English) Zbl 1150.32303

Vestn. Mosk. Univ., Ser. I 2006, No. 5, 62-65 (2006); translation in Mosc. Univ. Mech. Bull. 61, No. 5, 45-48 (2006).
MSC:  32A30 30A05 35J99
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Differentiation of singular integrals with piecewise continuous density. (English) Zbl 1132.30346

Kilbas, A. A. (ed.) et al., Analytic methods of analysis and differential equations: AMADE 2003. Selected papers of the 3rd international conference, Minsk, Belarus, September 4–9, 2003. Cambridge: Cambridge Scientific Publishers (ISBN 1-904868-41-X/pbk). 199-207 (2006).
MSC:  30E20 30A05 45E05
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Hypermonogenic functions and their Cauchy-type theorems. (English) Zbl 1057.30040

Qian, Tao (ed.) et al., Advances in analysis and geometry. New developments using Clifford algebras. Based on the satellite conference to the ICM 2002 in Beijing, Macau, China, August 15–18, 2002. Basel: Birkhäuser (ISBN 3-7643-6661-3/hbk). Trends in Mathematics, 97-112 (2004).
MSC:  30G35 30A05 30F45
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A renormalized Riesz potential and applications. (English) Zbl 1092.47014

Neamtu, Marian (ed.) et al., Advances in constructive approximation: Vanderbilt 2003. Proceedings of the international conference, Nashville, TN, USA, May 14–17, 2003. Brentwood, TN: Nashboro Press (ISBN 0-9728482-2-3/hbk). Modern Methods in Mathematics, 433-465 (2004).
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Derivation of monogenic functions and applications. (English) Zbl 1103.30033

Duong, Xuan Thinh (ed.) et al., International conference on harmonic analysis and related topics. Papers from the conference celebrating Professor Alan G. R. McIntosh on the occasion of his 60th birthday, Macquaire University, Sydney, Australia, January 14–18, 2002. Canberra: Australian National University, Centre for Mathematics and its Applications (ISBN 0-7315-5205-9/pbk). Proc. Cent. Math. Appl. Aust. Natl. Univ. 41, 118-127 (2003).
MSC:  30G35 42B30 30A05
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