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.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    On integral operators and equations generated by cosine and sine Fourier transforms


    Contributors:

    Conference:

    ICNPAA 2018 WORLD CONGRESS: 12th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences ; 2018 ; Yerevan, Armenia


    Published in:

    Publication date :

    2018-12-04


    Size :

    10 pages





    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English



    Chirp Hartley, Chirp cosine and Chirp sine transforms

    Yong, B. / Yinqing, Z. / Chunsheng, L. | British Library Online Contents | 2005


    Fast Algorithms of Discrete Fourier and Cosine Transforms in Mixed Formats

    Pogribny, W. / Drechny, M. / IEEE | British Library Conference Proceedings | 2003



    Algorithm For Integer Cosine Transforms

    Pollara, Fabrizio / Cheung, Kar-Ming / Shahshahani, Mehrdad | NTRS | 1994