In this paper, we study some properties of a class of integral operators that depends on the cosine and sine Fourier trans-forms. In particular, we will exhibit properties related with their invertibility, the spectrum, Parseval type identities and involutions. Moreover, a new convolution will be proposed and consequent integral equations will be also studied in detail. Namely, we will characterize the solvability of two integral equations which are associated with the integral operator under study. Moreover, under appropriate conditions, the unique solutions of those two equations are also obtained in a constructive way.
On integral operators and equations generated by cosine and sine Fourier transforms
ICNPAA 2018 WORLD CONGRESS: 12th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences ; 2018 ; Yerevan, Armenia
AIP Conference Proceedings ; 2046 , 1
2018-12-04
10 pages
Conference paper
Electronic Resource
English
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