On Bausov-Telyakovskii type results (Q2709767)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On Bausov-Telyakovskii type results |
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Bausov-Telyakovskii type results |
scientific article |
Statements
19 December 2001
0 references
integrability of Fourier transforms
0 references
integrability of trigonometric series
0 references
On Bausov-Telyakovskii type results (English)
0 references
The author elaborated in [Anal. Math. 19, No. 2, 151-168 (1993; Zbl 0794.42006)] a new method for the investigation of problems of integrability of trigonometric series by means of appropriate Fourier transforms. In this paper, he proves analogues of certain Bausov-Telyakovskij type theorems on the integrability of trigonometric series for the integrability of Fourier transforms. By means of his method mentioned above, he derives new theorems on the integrability of trigonometric series, as well, which are stronger than the initial theorems. The two theorems proved in this paper are too long to be reproduced here.
0 references
