A couple of fractional powers of Hankel-type integral transformations and pseudo-differential operators

DOI10.1007/S40324-016-0087-8zbMath1392.46040OpenAlexW2399754176MaRDI QIDQ1699724

Akhilesh Prasad, Praveen K. Maurya

Publication date: 23 February 2018

Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40324-016-0087-8

zbMATH Keywords

pseudo-differential operatorfractional Hankel-type integral transformationZemanian type space

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Integral transforms in distribution spaces (46F12) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Pseudodifferential operators (47G30)

Related Items (9)

The linear canonical Hankel type transformations associated with translation and convolution ⋮ Convolution with the linear canonical Hankel transformation ⋮ Convolution for a pair of quadratic-phase Hankel transforms ⋮ The product of generalized wavelet transform involving fractional Hankel-type transform on some function spaces ⋮ A framework of linear canonical Hankel transform pairs in distribution spaces and their applications ⋮ A pair of linear canonical Hankel transformations and associated pseudo-differential operators ⋮ The fractional Hankel-type integral wavelet packet transformation ⋮ Norm estimates for the pseudo-differential operator involving fractional Hankel-like transform on \(\mathcal{S}\)-type spaces ⋮ A new couple of Sobolev-type spaces and some applications

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