Tempered distributional Fourier sine (cosine) transform

DOI10.1080/10652460600856534zbMath1131.42003OpenAlexW2002380597MaRDI QIDQ3422772

Shrideh K. Q. Al-Omari, P. K. Banerji, Lokenath Debnath

Publication date: 14 February 2007

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460600856534

zbMATH Keywords

tempered distributionsFourier sine (cosine) transformthe Paley-Wiener-Schwartz theorem

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (14)

Paley-Wiener theorems for the two-sided quaternion Fourier transform ⋮ On generalized fractional cosine and sine transforms ⋮ Paley-Wiener theorems of generalized Fourier transform associated with a Cherednik type operator on the real line ⋮ Spectral theorems associated with the Cherednik operators on \(\mathbb R^d\) ⋮ Certain fundamental properties of generalized natural transform in generalized spaces ⋮ Unnamed Item ⋮ Duality for convolution on subclasses of analytic functions and weighted integral operators ⋮ Fourier sine (cosine) transform for ultradistributions and their extensions to tempered and ultraBoehmian spaces ⋮ Note on Boehmians for class of optical Fresnel wavelet transforms ⋮ On modified Mellin transform of generalized functions ⋮ Pseudo-differential operators involving Fractional Fourier cosine (sine) transform ⋮ SPECTRAL THEOREMS ASSOCIATED TO THE DUNKL OPERATORS ⋮ Real Paley-Wiener type theorems for the Dunkl transform on \({\mathcal{S}}^{\prime}(\mathbb{R}^{d})\) ⋮ On the range of the Opdam-Cherednik transform and Roe's theorem in the Cherednik setting

Cites Work

• Fourier transforms of odd and even tempered distributions
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Tempered distributional Fourier sine (cosine) transform