Almansi-type theorem for polymonogenic functions in ballshell domain

DOI10.1007/s11785-022-01275-yzbMath1502.30141OpenAlexW4295030632WikidataQ114221738 ScholiaQ114221738MaRDI QIDQ2080177

Doan Cong Dinh

Publication date: 7 October 2022

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-022-01275-y

zbMATH Keywords

polymonogenic functionsAlmansi-type theoremballshell domains

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (2)

Series representation of solutions of polynomial Dirac equations ⋮ Iterated generalized Dirac operators of mixed sides

Cites Work

• Riemann boundary value problems for iterated Dirac operator on the ball in Clifford analysis
• Almansi decomposition for Dunkl operators
• Complex analysis I: Entire and meromorphic functions, polyanalytic functions and their generalizations. Transl. from the Russian by V. I. Rublinetskij and V. A. Tkachenko
• Application of Holomorphic Functions in Two and Higher Dimensions
• Three-dimensional Quaternionic Analogue of the Kolosov–Muskhelishvili Formulae
• Almansi‐type theorems in Clifford analysis
• Almansi-type theorems for slice-regular functions on Clifford algebras
• Almansi decompositions for polyharmonic, polyheat, and polywave functions
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