Orthonormality of Spherical Basis Functions for Interior Problems of the Helmholtz Equation

DOI

Search this article

Description

<p>We construct an orthonormal basis for interior problems of the Helmholtz equation, based on the properties of a reproducing kernel Hilbert space defined by the spectral characteristics of interior sound fields. The constructed basis coincides with what is commonly known as spherical basis functions. Furthermore, leveraging the structure of this space, we derive the addition theorem in a compact form. This facilitates the conversion between reproducing kernel representations and spherical harmonic expansions and provides insights into estimating spherical harmonic coefficients from sampled measurements.</p>

Journal

Keywords

Details 詳細情報について

  • CRID
    1390022853125615744
  • DOI
    10.1250/ast.e25.10
  • ISSN
    13475177
    03694232
    13463969
  • Text Lang
    en
  • Data Source
    • JaLC
  • Abstract License Flag
    Disallowed

Report a problem

Back to top