Generalized convolutions and the integral equations of the convolution type

DOI10.1080/17476930902998886zbMath1193.44029OpenAlexW1985783751MaRDI QIDQ3558514

Nguyen Minh Tuan, Bui Thi Ha Giang

Publication date: 5 May 2010

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930902998886

zbMATH Keywords

Fourier transformconvolutionsintegral equations of convolution typeParseval equality

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Multiple integral transforms (44A30)

Related Items (6)

Operator properties and Heisenberg uncertainty principles for a un-unitary integral operator ⋮ The explicit solutions for a class of fractional Fourier–Laplace convolution equations ⋮ Some classes of singular integral equations of convolution type in the class of exponentially increasing functions ⋮ Singular integral equations of convolution type with Hilbert kernel and a discrete jump problem ⋮ Convolution-continuous bilinear operators acting on Hilbert spaces of integrable functions ⋮ The solvability and explicit solutions of two integral equations via generalized convolutions

Cites Work

• Integral transforms of Fourier cosine and sine generalized convolution type
• A new convolution theorem for the Stieltjes transform and its application to a class of singular integral equations
• Generalized convolutions for the Hankel transform and related integral operators
• On the generalized convolution with a weight function for the Fourier sine and cosine transforms

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