The Kontorovich-Lebedev transformation of distributions

DOI10.1007/BF01175128zbMath0398.46035MaRDI QIDQ1254512

Jagdish N. Pandey, Ram Shankar Pathak

Publication date: 1979

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172789

zbMATH Keywords

DistributionsDirichlet's ProblemGeneralized FunctionsInversion FormulaKontorovich-Lebedev TransformationTesting Function Space

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (11)

Integral transforms of generalized functions ⋮ The Kontorovich--Lebedev integral transformation with a Hankel function kernel in a space of generalized functions of doubly exponential descent ⋮ Two versions of pseudo-differential operators involving the Kontorovich-Lebedev transform in \(L^{2}(\mathbb{R}_{+};\frac{dx}{x})\) ⋮ The generalized Kontorovich-Lebedev transform and associated operators ⋮ The Kontorovich-Lebedev integral transform ⋮ \(L_{\alpha }^p\)-boundedness of the pseudo-differential operators associated with the Kontorovich-Lebedev transform ⋮ An operational calculus for a Mehler-Fock type index transform on distributions of compact support ⋮ Boundedness of integral operators associated with the Kontorovich–Lebedev transform in the Lebesgue spaces type ⋮ Inversion of the Kontorovich-Lebedev integral transform ⋮ A convolution connected with the Kontorovich-Lebedev transform ⋮ Boundedness of pseudo-differential operators involving Kontorovich–Lebedev transform

Cites Work

• The Kontorovich–Lebedev transformation on distributions of compact support and its inversion
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