Representation of the space of polyanalytic functions as a direct sum of orthogonal subspaces. Application to rational approximations

DOI10.1007/BF02674203zbMath0970.30026OpenAlexW1985887247MaRDI QIDQ1582835

A. K. Ramazanov

Publication date: 15 October 2001

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02674203

zbMATH Keywords

rational approximationpolyanalytic functionBessel's inequalitypolyrational function

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Approximation by rational functions (41A20) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20)

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Cites Work

• On boundary properties of the components of polyharmonic functions
• On boundary behavior of solutions of the generalized Cauchy-Riemann equations
• Interpolation properties of rational functions of best mean square approximation on a circle and in a disk
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