• Login
    View Item 
    •   Shocker Open Access Repository Home
    • Fairmount College of Liberal Arts and Sciences
    • Mathematics, Statistics, and Physics
    • MATH Research Publications
    • View Item
    •   Shocker Open Access Repository Home
    • Fairmount College of Liberal Arts and Sciences
    • Mathematics, Statistics, and Physics
    • MATH Research Publications
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Spectra of unitary integral operators on L-2 (R) with kernels k(xy)

    Date
    2013
    Author
    Ma, Daowei
    Chen, Goong
    Metadata
    Show full item record
    Citation
    Ma, Daowei; Chen, Goong. Spectra of unitary integral operators on L-2 (R) with kernels k(xy). Integral equations, boundary value problems and related problems. Integral equations, boundary value problems and related problems. Singapore : World Scientific, 2013, pp. 195-210.
    Abstract
    Unitary integral transforms play an important role in mathematical physics. A primary example is the Fourier transform whose kernel is of the form k(x, y) = k(xy), i.e., of the product type. Here we consider the determination of spectrum for such unitary operators as the issue is important in the solvability of the corresponding inhomogeneous Fredholm integral equation of the second kind. A Main Theorem is proven that characterizes the spectral set. Properties of eigenfunctions and eigenspace dimensions are further derived as consequences of the Main Theorem. Concrete examples are also offered as applications.
    Description
    Click on the DOI link to access this book chapter (may not be free).
    URI
    http://dx.doi.org/10.1142/9789814452885_0019
    http://hdl.handle.net/10057/10698
    Collections
    • MATH Research Publications

    Browse

    All of Shocker Open Access RepositoryCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsBy TypeThis CollectionBy Issue DateAuthorsTitlesSubjectsBy Type

    My Account

    LoginRegister

    Statistics

    Most Popular ItemsStatistics by CountryMost Popular Authors

    DSpace software copyright © 2002-2022  DuraSpace
    DSpace Express is a service operated by 
    Atmire NV