An Approach for Developing Fourier Convolutions and Applications

DOI10.1007/978-3-319-12577-0_57zbMath1323.42011OpenAlexW2174081519MaRDI QIDQ2949309

Nguyen Minh Tuan

Publication date: 8 October 2015

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-12577-0_57

zbMATH Keywords

Banach algebraintegral equationsgeneralized convolution

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Banach algebras of continuous functions, function algebras (46J10) Integral transforms of special functions (44A20) Convolution, factorization for one variable harmonic analysis (42A85) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Hermite functions related to infinite series of generalized convolutions and applications
• The solvability and explicit solutions of two integral equations via generalized convolutions
• Operational properties of two integral transforms of Fourier type and their convolutions
• The finite Hartley new convolutions and solvability of the integral equations with Toeplitz plus Hankel kernels
• Convolutions for the Fourier transforms with geometric variables and applications
• Generalized convolutions for the Hankel transform and related integral operators
• Analytical and numerical inversion formulas in the Gaussian convolution by using the Paley–Wiener spaces

This page was built for publication: An Approach for Developing Fourier Convolutions and Applications