Periodic Boehmians

Author:

Nemzer Dennis1

Affiliation:

1. Department of Mathematics, California State University, Stanislaus 801 W. Monte Vista Avenue, Turlock, CA 95380, USA

Abstract

A class of generalized functions, called periodic Boehmians, on the unit circle, is studied. It is shown that the class of Boehmians contain all Beurling distributions. An example of a hyperfunctlon that is not a Boehmian is given. Some growth conditions on the Fourier coefficients of a Boehmian are given. It is shown that the Boehmians, with a given complete metric topological vector space topology, is not locally bounded.

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Cited by 24 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Quaternionic Coupled Fractional Fourier Transform on Boehmians;Applied and Numerical Harmonic Analysis;2023

2. A new structure of an integral operator associated with trigonometric Dunkl settings;Advances in Difference Equations;2021-07-16

3. The Fourier Chébli-Trimèche transform on Boehmians;Analysis and Mathematical Physics;2021-05-11

4. Estimates and properties of certain q-Mellin transform on generalized q-calculus theory;Advances in Difference Equations;2021-05-01

5. The Watson Fourier transform on a certain class of generalized functions;Rendiconti del Circolo Matematico di Palermo Series 2;2020-10-14

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