Combinatorics of the Heat Trace on Spheres

DOI10.4153/CJM-2002-040-4zbMath1034.58022arXivmath/0105072MaRDI QIDQ4784372

Iosif Polterovich

Publication date: 8 January 2004

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0105072

zbMATH Keywords

combinatorial identitieshypergeometric seriesdifference operatorLaplace--Beltrami operatorlocal heat invariantsheat trace coefficientsheat trace on spheres

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Classical hypergeometric functions, ({}_2F_1) (33C05) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (12)

Maclaurin spectral results on rank one symmetric spaces of noncompact type ⋮ On Jacobi polynomials \((\mathcal {P}_k^{(\alpha, \beta)}: \alpha, \beta >-1)\) and Maclaurin spectral functions on rank one symmetric spaces ⋮ Continuous wavelets on compact manifolds ⋮ Semigroup asymptotics, the Funk-Hecke identity and the Gegenbauer coefficients associated with the spherical Laplacian ⋮ On Gegenbauer polynomials and coefficients \(c^{\ell}_{j}(\nu )(1\leq j\leq \ell, \nu >-1/2)\) ⋮ Explicit descriptions of spectral properties of Laplacians on spheres \(\mathbb{S}^N\) \((N\ge 1)\): a review ⋮ $\Gamma $-extensions of the spectrum of an orbifold ⋮ Generalised heat coefficients and associated spectral zeta functions on complex projective spaces Pⁿ(ℂ) ⋮ On Jacobi polynomials and fractional spectral functions on compact symmetric spaces ⋮ Recurrence relations for heat kernels on spheres ⋮ Heat invariants of the Steklov problem ⋮ Growth of heat trace coefficients for locally symmetric spaces

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