Holomorphlc functions in tubes associated with ultradistributions

DOI10.1080/17476939308814614zbMath0809.46036OpenAlexW2018318318MaRDI QIDQ4292428

Stevan Pilipović, Richard D. Carmichael, Ram Shankar Pathak

Publication date: 30 March 1995

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

Full work available at URL: https://doi.org/10.1080/17476939308814614

zbMATH Keywords

regular coneboundary valuesFourier-Laplace integral representationsholomorphic functions in tubesultradistribution spaces of Beurling typeultradistributions of Beurling type or Roumieu 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 (5)

On a space of smooth functions on a convex unbounded set in \(\mathbb R^{n }\) admitting holomorphic extension in \(\mathbb C^{n }\) ⋮ Wavelet transform of multiplicators and convolutors for ultradistributions ⋮ Boundedness of fractional Hankel wavelet transform on some Beurling type spaces ⋮ Paley-Wiener-Schwartz type theorem for ultradistributions on an unbounded closed convex set ⋮ Cauchy and poisson kernels for tubes

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