PSEUDO-DIFFERENTIAL OPERATORS ASSOCIATED TO A PAIR OF HANKEL–CLIFFORD TRANSFORMATIONS ON CERTAIN BEURLING TYPE FUNCTION SPACES

DOI10.1142/S1793557113500393zbMath1297.47053OpenAlexW2044483411MaRDI QIDQ2868583

Akhilesh Prasad, Vishal Singh

Publication date: 17 December 2013

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557113500393

zbMATH Keywords

pseudo-differential operatorsHankel-Clifford transformationsBessel-differential operatorBeurling type function spaces

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Pseudodifferential operators (47G30)

Related Items (13)

The \(\mathrm{Y}\) transforms and allied pseudo-differential operators ⋮ Lebedev–Skalskaya transforms and allied operators on certain function spaces ⋮ Weighted boundedness for Toeplitz type operator associated to general integral operators ⋮ Equivalence of \(K\)-functionals and modulus of smoothness constructed by first Hankel-Clifford transform ⋮ The Mehler-Fock-Clifford transform and pseudo-differential operator on function spaces ⋮ On estimates for the first Hankel-Clifford transform in the space \(L^p_{\mu}\) ⋮ Weighted integrability results for first Hankel-Clifford transform ⋮ Two versions of pseudo-differential operators involving the Kontorovich-Lebedev transform in \(L^{2}(\mathbb{R}_{+};\frac{dx}{x})\) ⋮ Dual Boas-type theorems and weighted integrability results for second Hankel-Clifford transform ⋮ A pair of Barut-Girardello type transforms and allied pseudo-differential operators ⋮ Lebedev–Skalskaya transforms on certain function spaces and associated pseudo-differential operators ⋮ Legendre functions, related Lebedev-Skalskaya transforms pairs and associated operators ⋮ Boundedness of pseudo-differential operators involving Kontorovich–Lebedev transform

Cites Work

• Unnamed Item
• A pair of generalized Hankel-Clifford transformations and their applications
• Linear partial differential operators and generalized distributions
• The hankel transform of gevrey ultradistributions
• Bessel-Transformationen in Räumen von Grundfunktionen über dem Intervall Ω = (0, ∞) und deren Dualräumen
• PSEUDO-DIFFERENTIAL OPERATORS INVOLVING HANKEL–CLIFFORD TRANSFORMATION

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