Open AccessOn the invertibility of one integral operator
Author(s) -
Grigor Kirakosyan
Publication year - 2022
Publication title -
armenian journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.152
H-Index - 1
ISSN - 1829-1163
DOI - 10.52737/18291163-2022.14.6-1-10
Subject(s) - mathematics , operator (biology) , inverse , integral transform , hilbert transform , exponential function , mathematical analysis , compact operator , shift operator , pure mathematics , computer science , biochemistry , chemistry , spectral density , geometry , statistics , repressor , transcription factor , extension (predicate logic) , gene , programming language
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.