Armenian Journal of Mathematics, 14(6)
2022; 1–10
Shared with The Gufo

On the invertibility of one integral operator

Grigor Kirakosyan*

Received: 2024-12-05 · Published: 2022-04-30

© 2022 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
Shared article.
Original title
On the invertibility of one integral operator
Author
Grigor Kirakosyan
Source journal
Armenian Journal of Mathematics, 14(6)
Published
2022-04-30
Licence
Creative Commons Attribution 4.0 International
Original
https://doi.org/10.52737/18291163-2022.14.6-1-10

Abstract

The present paper considers an integral operator defined on the entire real axis, which differs from the Hilbert transform with terms where kernels are constructed using integral exponential functions. The considered operator has similar properties with respect to the Hilbert transform. The form of the inverse operator is obtained.
1 / ? 100% Open in new tab Download Cite

Loading the full text…

Download Follow Updates