Boundary Values and Convolution in Ultra

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This book provides the construction and characterization of important ultradistribution spaces and studies properties and calculations of ultradistributions such as boundedness and convolution. Integral transforms of ultradistributions are construct…

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    Om Boundary Values and Convolution in Ultra

    This book provides the construction and characterization of important ultradistribution spaces and studies properties and calculations of ultradistributions such as boundedness and convolution. Integral transforms of ultradistributions are constructed and analyzed. The general theory of the representation of ultradistributions as boundary values of analytic functions is obtained and the recovery of the analytic functions as Cauchy, Fourier-Laplace, and Poisson integrals associated with the boundary value is proved.Ultradistributions are useful in applications in quantum field theory, partial differential equations, convolution equations, harmonic analysis, pseudo-differential theory, time-frequency analysis, and other areas of analysis. Thus this book is of interest to users of ultradistributions in applications as well as to research mathematicians in areas of analysis.Contents:Cones in Pn and KernelsUltradifferentiable Functions and UltradistributionsBoundednessCauchy and Poisson IntegralsBoundary Values of Analytic FunctionsConvolution of UltradistributionsIntegral Transforms of Tempered UltradistributionsReadership: Researchers and graduate students in mathematics, especially distributions and ultradistributions and their applications.

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    Detaljer

    Format
    E-Bok
    Filformat
    PDF
    Utgivelsesår
    2007
    Forlag
    World Scientific Publishing Co
    Språk
    Engelsk
    ISBN
    9789812708786
    Sider
    232

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