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Mapping properties of a projection related to the Helmholtz equation

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Publication:1879330
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DOI10.1007/S00041-003-0863-6zbMath1061.42006OpenAlexW2163879339MaRDI QIDQ1879330

Alberto Ruiz, Juan Antonio Barceló, Jonathan M. Bennett

Publication date: 22 September 2004

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-003-0863-6


zbMATH Keywords

integral operatorHelmholtz equationextension operatordisc multiplierFourier extension map


Mathematics Subject Classification ID

Multipliers for harmonic analysis in several variables (42B15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Linear operators on function spaces (general) (47B38)


Related Items (4)

Toeplitz operators on Herglotz wave functions ⋮ Reproducing kernel for the Herglotz functions in \(\mathbb {R}^n\) and solutions of the Helmholtz equation ⋮ Reproducing kernel for elastic Herglotz functions ⋮ The Fourier extension operator of distributions in Sobolev spaces of the sphere and the Helmholtz equation







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