Convolution, Fourier transform and Sobolev spaces generated by non-local Ionkin problem

DOI10.13108/2015-7-4-76zbMath1463.43001OpenAlexW4241371229MaRDI QIDQ5137108

N. E. Tokmagambetov, Baltabek Kanguzhin

Publication date: 1 December 2020

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa303

zbMATH Keywords

Fourier transformSobolev spaceconvolutiondifferential operatornonlocal boundary conditiontest functionsPlancherel identityIonkin problem

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Integral transforms in distribution spaces (46F12) Other transforms and operators of Fourier type (43A32) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (5)

On a model of the generation of turbulence ⋮ Convolution, Fourier analysis, and distributions generated by Riesz bases ⋮ Non‐harmonic Gohberg's lemma, Gershgorin theory and heat equation on manifolds with boundary ⋮ On convolutions in Hilbert spaces ⋮ Operators whose resolvents have convolution representations and their spectral analysis

Cites Work

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• Nonharmonic analysis
• Biorthogonal expansions of functions in series of exponents on intervals of the real axis
• Nonharmonic Analysis of Boundary Value Problems
• Pseudo-differential operators generated by a non-local boundary value problem
• The Fourier Transform and Convolutions Generated by a Differential Operator with Boundary Condition on a Segment

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