The S.V.D. of the Poisson kernel

DOI10.1007/s00041-016-9515-5zbMath1393.46021arXiv1610.06836OpenAlexW2540238768MaRDI QIDQ1691994

J. F. G. Auchmuty

Publication date: 25 January 2018

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

Full work available at URL: https://arxiv.org/abs/1610.06836

zbMATH Keywords

singular value decompositionreproducing kernelPoisson kernelharmonic Bergman spacebiharmonic Steklov eigenfunctions

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Other functions defined by series and integrals (33E20) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items (6)

Bounds and representations of solutions of planar div-curl problems ⋮ Functional characterizations of trace spaces in Lipschitz domains ⋮ Spectral stability for a class of fourth order Steklov problems under domain perturbations ⋮ Robin Approximation of Dirichlet Boundary Value Problems ⋮ On the explicit representation of the trace space \(H^{\frac{3}{2}}\) and of the solutions to biharmonic Dirichlet problems on Lipschitz domains via multi-parameter Steklov problems ⋮ A boundary formula for reproducing kernel Hilbert spaces of real harmonic functions in Lipschitz domains

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