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Generalized polynomial approximation and growth estimates of entire functions of two complex variables in Banach spaces

Generalized polynomial approximation and growth estimates of entire functions of two complex... Infinite dimensional subspaces, which consists of forms involving tensor products of functions of fewer variables, play an important role in the theory of approximation of functions of several real variables. Similar technique can be applied to problems of approximation of analytic functions of several complex variables. In the present paper we study the generalized polynomial approximation of entire functions of two complex variables in Banach spaces. Moreover, limit equations relating growth parameters order and type with above approximation errors in Banach spaces have been investigated. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png The Journal of Analysis Springer Journals

Generalized polynomial approximation and growth estimates of entire functions of two complex variables in Banach spaces

The Journal of Analysis , Volume 26 (1) – Dec 7, 2017

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Publisher
Springer Journals
Copyright
Copyright © 2017 by Forum D'Analystes, Chennai
Subject
Mathematics; Analysis; Functional Analysis; Abstract Harmonic Analysis; Special Functions; Fourier Analysis; Measure and Integration
ISSN
0971-3611
eISSN
2367-2501
DOI
10.1007/s41478-017-0063-4
Publisher site
See Article on Publisher Site

Abstract

Infinite dimensional subspaces, which consists of forms involving tensor products of functions of fewer variables, play an important role in the theory of approximation of functions of several real variables. Similar technique can be applied to problems of approximation of analytic functions of several complex variables. In the present paper we study the generalized polynomial approximation of entire functions of two complex variables in Banach spaces. Moreover, limit equations relating growth parameters order and type with above approximation errors in Banach spaces have been investigated.

Journal

The Journal of AnalysisSpringer Journals

Published: Dec 7, 2017

References