Null-space distributions. -- A new approach to finite convolution equations with a Hankel kernel

DOI10.1007/BF01193904zbMath0944.45001MaRDI QIDQ1818823

Norbert Gorenflo

Publication date: 11 September 2000

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

boundary integral equationHelmholtz equationgeneralized functionconvolution equationHankel kernelnull space distribution

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Boundary element methods for boundary value problems involving PDEs (65N38) Integral equations with miscellaneous special kernels (45H05)

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Cites Work

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• Transformation of an axialsymmetric disk problem for the Helmholtz equation into an ordinary differential equation
• A Wiener-Hopf approach for the scattering by a disk
• A GENERALIZATION OF THE WIENER-HOPF METHOD FOR CONVOLUTION EQUATIONS ON A FINITE INTERVAL WITH SYMBOLS HAVING POWER-LIKE ASYMPTOTICS AT INFINITY
• Solution of a Finite Convolution Equation with a Hankel Kernel by Matrix Factorization
• A Characterization of the range of a finite convolution operator with a hankel kernel

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