Recombination of stable sampling sets and stable interpolation sets in functional quasinormed spaces-Reference-Cited by-同舟云学术

Recombination of stable sampling sets and stable interpolation sets in functional quasinormed spaces

Published:2024-05-17 Issue: Volume:42 Page:1-14
ISSN:2175-1188
Container-title:Boletim da Sociedade Paranaense de Matemática
language:
Short-container-title:B Soc Paran Mat

Author:

López Nicolás José Alfonso^ORCID

Abstract

This contribution is aimed in obtaining new results in combining stable sampling sets (respectively, stable interpolation sets) of a given quasinormed space in order to obtain other new ones. We apply these results to Paley-Wiener spaces and. In addition, we study the problem of obtaining a generator system of a given quasinormed space, and obtain conditions for a finite product of subsets of a given quasinormed space to be a generator system, using the interpolation and sampling theory for quasinormed spaces of functions.

Publisher

Sociedade Paranaense de Matemática

Reference23 articles.

1. Avantaggiati, A., Loreti, P., Velluci, P., An Explicit Bound for Stability of Sinc Bases, Proceedings of the 12th International Conference on Informatics in Control, Automation and Robotics 1 (2015), 473–480, https://doi.org/10.5220/0005512704730480.

2. Avantaggiati, A., Loreti, P., Velluci, P., Kadec-1/4 Theorem for Sinc Bases, (2016) ArXiv 1603.08762v1.

3. Avdonin, S. A., On the question of Riesz bases of exponential functions in L2, Vestnik Leningrad Univ. 13 (1974), 5–12 (Russian). English translation in Vestnik Leningrad Univ. Math. 7 (1979), 203–211.

4. Boas, R.P. Entire Functions, Ed. Academic Press, New York, 1954.

5. De Carli, L., Concerning Exponential Bases on Multi-Rectangles of Rd, Birkhäuser, Cham., Topics in Classical and Modern Analysis, Applied and Numerical Harmonic Analysis (2019), https://doi.org/10.1007/978-3-030-12277-54.