On the completeness of the spherical vector wave functions

DOI10.1016/0022-247X(86)90233-7zbMath0615.35009OpenAlexW2086522508MaRDI QIDQ1820922

Yanyan Li

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0022-247x(86)90233-7

zbMATH Keywords

uniform approximationHelmholtz equationcompleteness propertiesspherical wave functionsinterior Dirichlet problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Series solutions to PDEs (35C10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (3)

Reproducing kernel for elastic Herglotz functions ⋮ A direct sampling method for simultaneously recovering electromagnetic inhomogeneous inclusions of different nature ⋮ Quaternionic spherical wave functions

Cites Work

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• Grenz- und Sprungrelationen für Potentiale mit quadratsummierbarer Flächenbelegung
• A Generalization of Theorems of Rellich and Atkinson
• Far field patterns for the impedance boundary value problem in acoustic scattering
• On the Completeness of Sets of Solutions to the Helmholtz Equation
• Runge’s Theorem and Far Field Patterns for the Impedance Boundary Value Problem in Acoustic Wave Propagation
• Zwei Klassen vollständiger Funktionensysteme zur Behandlung der Randwertaufgaben der Schwingungsgleichung ΔU + k2U = 0

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