Cauchy wavelet transform of ultra-distributions in tube domains

DOI10.1080/17476933.2015.1033415zbMath1342.42044OpenAlexW1527387421MaRDI QIDQ3455400

Santosh Kumar Upadhyay, Ram Shankar Pathak

Publication date: 4 December 2015

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2015.1033415

zbMATH Keywords

Fourier transformwavelet transformPoisson kernelultra-distributionCauchy wavelet

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Special integral transforms (Legendre, Hilbert, etc.) (44A15) (H^p)-spaces (42B30)

Cites Work

• Analytic functions in tubes which are representable by Fourier-Laplace integrals
• A Poisson integral for homogeneous wedge domains
• Cauchy and poisson intergral of ultredistributions
• Cauchy and Poisson integral representations for ultradistributions of compact support and distributional boundary values
• Generalized Cauchy and Poisson Integrals and Distributional Boundary Values

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