On the invertibility of one integral operator

On the invertibility of one integral operator

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...

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Bibliographic Details
Main Author: Kirakosyan, G.A (Author)
Format: Article
Language:English
Published: National Academy of Sciences 2022
Subjects:
exponential integral function
Integral operator
L-Wiener-Hopf operator
Online Access:View Fulltext in Publisher
LEADER 00980nam a2200169Ia 4500
001 10.52737-18291163-2022.14.6-1-10
008 220706s2022 CNT 000 0 und d
020 |a 18291163 (ISSN) 
245 1 0 |a On the invertibility of one integral operator 
260 0 |b National Academy of Sciences  |c 2022 
856 |z View Fulltext in Publisher  |u https://doi.org/10.52737/18291163-2022.14.6-1-10 
520 3 |a 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. © 2022, National Academy of Sciences. All rights reserved. 
650 0 4 |a exponential integral function 
650 0 4 |a Integral operator 
650 0 4 |a L-Wiener-Hopf operator 
700 1 |a Kirakosyan, G.A.  |e author 
773 |t Armenian Journal of Mathematics 

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