Explicit descriptions of spectral properties of Laplacians on spheres \(\mathbb{S}^N\) \((N\ge 1)\): a review

DOI10.1007/s40863-020-00189-xzbMath1452.58002OpenAlexW3092478943WikidataQ107198787 ScholiaQ107198787MaRDI QIDQ2211237

Richard Olu Awonusika

Publication date: 13 November 2020

Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40863-020-00189-x

zbMATH Keywords

determinantspectral zeta functionclassical and shifted Laplaciansheat coefficients

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Fundamental solutions to PDEs (35A08) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Integral representations of solutions to PDEs (35C15) Series solutions to PDEs (35C10) Determinants and determinant bundles, analytic torsion (58J52) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Solutions to PDEs in closed form (35C05)

Related Items (1)

Maclaurin spectral results on rank one symmetric spaces of noncompact type

Cites Work

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