Cauchy and poisson intergral of ultredistributions

DOI10.1080/17476939008814408zbMath0712.46018OpenAlexW1982411107MaRDI QIDQ3196825

Richard D. Carmichael, Stevan Pilipović, Ram Shankar Pathak

Publication date: 1990

Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476939008814408

zbMATH Keywords

Roumieu typegeneralized Cauchy and Poisson integrals of ultradistributions of Beurling type

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Hyperfunctions, analytic functionals (46F15) Boundary behavior of holomorphic functions of several complex variables (32A40) Distributions and ultradistributions as boundary values of analytic functions (46F20) Holomorphic functions of several complex variables (32A10)

Related Items (7)

Cauchy and Poisson integrals of ultradistributions in 𝒟′(*,L^s) ⋮ Cauchy wavelet transform of ultra-distributions in tube domains ⋮ Unified treatment of the Krätzel transformation for generalized functions ⋮ Multipliers and operators on the tempered ultradistribution spaces of Roumieu type for the distributional Hankel-type transformation spaces ⋮ 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

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