VECTOR-VALUED ALMOST PERIODIC ULTRADISTRIBUTIONS AND THEIR GENERALIZATIONS

Authors

DOI:

https://doi.org/10.37560/matbil1810005k

Keywords:

vector-valued almost periodic ultradistributions, generalized vector-valued almost periodic ultradistributions, generalized function spaces, Bohr-Fourier coefficients, Banach spaces

Abstract

In this paper, we introduce the notion of a vector-valued almost periodic ultradistribution and investigate some generalizations of this concept. Albeit contains some original contributions, the paper is primarily intended to review and slightly generalize some known results concerning scalar-valued almost periodic ultradistributions and their generalizations. We contemplate the work of many authors, and transfer several known results on vector-valued almost periodic distributions to vector-valued almost periodic ultradistributions of Beurling and of Roumieu type.

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Published

2018-01-01

Issue

Vol. 42 No. 1 (2018): 42 (LXVIII) 1 (2018)

Section

Articles

License

Copyright (c) 2018 Matematichki Bilten

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
M. Kostić, “VECTOR-VALUED ALMOST PERIODIC ULTRADISTRIBUTIONS AND THEIR GENERALIZATIONS”, Mat. Bilt., vol. 42, no. 1, pp. 5–20, Jan. 2018, doi: 10.37560/matbil1810005k.