Paley-Wiener-Schwartz type theorem for ultradistributional wavelet transform

DOI10.1007/S11785-021-01124-4zbMath1470.42015OpenAlexW3164914645MaRDI QIDQ2046213

Nikhila Raghuthaman, Abhishek Singh, Aparna Rawat

Publication date: 17 August 2021

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-021-01124-4

zbMATH Keywords

Fourier transformentire functionwavelet transformultradistribution space

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Integral transforms in distribution spaces (46F12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Entire functions of one complex variable (general theory) (30D20) Distributions and ultradistributions as boundary values of analytic functions (46F20)

Related Items (1)

Wavelet transform of multiplicators and convolutors for ultradistributions

Cites Work

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• Band-Limited Wavelets with Subexponential Decay
• Continuous wavelet transform associated with zero-order Mehler–Fock transform and its composition
• Paley–Wiener–Schwartz type theorem for the wavelet transform

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