Convolution equations and mean-value theorems for solutions of linear elliptic equations with constant coefficients in the complex plane

DOI10.1007/s10958-018-3664-9zbMath1388.30060OpenAlexW2782281706MaRDI QIDQ1707183

Olga D. Trofymenko

Publication date: 28 March 2018

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: http://dspace.nbuv.gov.ua/handle/123456789/169325

zbMATH Keywords

convolution equationequation \(\partial^{m-s}\bar\partial^m f=0\)

Mathematics Subject Classification ID

Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20)

Related Items (3)

Mean value theorems for polynomial solutions of linear elliptic equations with constant coefficients in the complex plane ⋮ Vector fields with zero flux through circles of fixed radius on $\mathbb{H}^2$ ⋮ Radial operators on polyanalytic weighted Bergman spaces

Cites Work

• Two-radii theorem for solutions of some mean value equations
• New mean value theorems for polyanalytic functions
• Analyticity and the Pompeiu problem
• Partial differential equations
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