Generalized analytic functions of Bogdan Ziemian

Grzegorz Łysik

Displaying similar documents to “Generalized analytic functions of Bogdan Ziemian”

Generalized analytic functions with applications to singular ordinary and partial differential equations

Bogdan Ziemian

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CONTENTS Introduction.............................................................................................................................................5 I. Preliminaries.........................................................................................................................................7 1. A review of classical results in the theory of Laplace integra............................................................7 2. Boundary values of holomorphic functions......................................................................................10...

Analytic continuation for some classes of separately analytic functions of real variables

Nguyen Thanh Van (2003)

Annales Polonici Mathematici

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For functions that are separately solutions of an elliptic homogeneous PDE with constant coefficients, we prove an analogue of Siciak's theorem for separately holomorphic functions.

Analytic functions in general analysis

Angus E. Taylor (1937)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Extension of separately analytic functions and applications to range characterization of the exponential Radon transform

Ozan Öktem (1998)

Annales Polonici Mathematici

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We consider the problem of characterizing the range of the exponential Radon transform. The proof uses extension properties of separately analytic functions, and we prove a new theorem about extending such functions.