Solution of Integral Equations by Dunkl and Distributional Dunkl Transform

DOI10.18311/jims/2018/16611zbMath1463.44004OpenAlexW2784998350MaRDI QIDQ5139949

Deshna Loonker

Publication date: 13 December 2020

Published in: Journal of the Indian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.18311/jims/2018/16611

zbMATH Keywords

Fourier transformconvolutionVolterra integral equationDunkl transformdistribution spacesFredholm integral equation of convolution type

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Operations with distributions and generalized functions (46F10) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Volterra integral equations (45D05)

Cites Work

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• Differential-Difference Operators Associated to Reflection Groups
• Hypoellipticity and hypoanalyticity of the Dunkl Laplacian operator