The spectral geometry of the higher order Laplacian

DOI10.1215/S0012-7094-80-04731-6zbMath0448.58026OpenAlexW1995847615MaRDI QIDQ1146919

Peter B. Gilkey

Publication date: 1980

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-80-04731-6

zbMATH Keywords

Mellin transformeigenvalues of the Laplacianasymptotic expansion of elliptic operators of even orderhigher order Laplacianrelation between the heat equation and the zeta function

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Invariance and symmetry properties for PDEs on manifolds (58J70) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Spectral theory; eigenvalue problems on manifolds (58C40)

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