Two versions of pseudo-differential operators involving the Kontorovich-Lebedev transform in \(L^{2}(\mathbb{R}_{+};\frac{dx}{x})\)

DOI10.1515/forum-2016-0254zbMath1386.35509OpenAlexW2778012968MaRDI QIDQ1689392

Upain K. Mandal, Akhilesh Prasad

Publication date: 12 January 2018

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/forum-2016-0254

zbMATH Keywords

Hilbert spaceKontorovich-Lebedev transformpseudo-differential operator

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Integral transforms of special functions (44A20)

Related Items (13)

Uncertainty principles for the continuous Kontorovich Lebedev wavelet transform ⋮ The \(\mathrm{Y}\) transforms and allied pseudo-differential operators ⋮ Lebedev–Skalskaya transforms and allied operators on certain function spaces ⋮ Composition of wavelet transforms and wave packet transform involving Kontorovich-Lebedev transform ⋮ Composition and commutator of pseudo-differential operators in the framework of zero-order Mehler-Fock transform domain ⋮ Pseudo‐differential operator in quaternion space ⋮ A pair of Barut-Girardello type transforms and allied pseudo-differential operators ⋮ Tikhonov regularisation for the Weierstrass transform associated with the Kontorovich–Lebedev transform ⋮ The Kontorovich-Lebedev transform and Sobolev type space ⋮ \(L_{\alpha }^p\)-boundedness of the pseudo-differential operators associated with the Kontorovich-Lebedev transform ⋮ Lebedev–Skalskaya transforms on certain function spaces and associated pseudo-differential operators ⋮ Boundedness of integral operators associated with the Kontorovich–Lebedev transform in the Lebesgue spaces type ⋮ Localization operators associated with the Kontorovich-Lebedev wavelet transform

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