Radon Inversion Problem for Holomorphic Functions on Circular, Strictly Convex Domains

In this paper we study the so-called Radon inversion problem in bounded, circular, strictly convex domains with C 2 boundary. We show that given p > 0 and a strictly positive, continuous function Φ on ∂ Ω , by use of homogeneous polynomials it is possible to construct a holomorphic function f ∈ O...

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Bibliographic Details
Published in:	Complex analysis and operator theory Vol. 15; no. 4
Main Authors:	Pierzchała, P., Kot, P.
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01.06.2021 Springer Nature B.V
Subjects:	Analysis Analytic functions Continuity (mathematics) Domains Mathematical analysis Mathematics Mathematics and Statistics Operator Theory Polynomials Radon Divergent Taylor series Radon inversion problem Inner functions Secondary 32A0 Boundary behaviour of holomorphic functions of several complex variables Primary 32A40
ISSN:	1661-8254, 1661-8262
Online Access:	Get full text
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