Generalized Cauchy and Poisson Integrals and Distributional Boundary Values
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Publication:5631612
DOI10.1137/0504020zbMath0225.46035OpenAlexW2065945340MaRDI QIDQ5631612
Publication date: 1973
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0504020
Operations with distributions and generalized functions (46F10) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15)
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Integral transforms of generalized functions ⋮ Cauchy wavelet transform of ultra-distributions in tube domains ⋮ Convolution in \((W_{M,a}^p)'\)-space ⋮ Distributional boundary values in \(D'_{L_p}\). III ⋮ Representation of distributions with compact support ⋮ The kernel theorem for Cauchy ultradistribution. ⋮ Cauchy and poisson kernels for tubes ⋮ Cauchy and Poisson integral of the convolutor in Beurling ultradistributions of \(L_p\)-growth ⋮ Distributional boundary values in \({\mathcal D}'_{L^ p}\). V
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