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Harmonic analysis is a generalisation of Fourier analysis that studies the properties of functions. Check out this tag for abstract harmonic analysis (on abelian locally compact groups), or Euclidean harmonic analysis (eg, Littlewood-Paley theory, singular integrals). It also covers harmonic analysis on tube domains, as well as the study of eigenvalues and eigenvectors of the Laplacian on domains, manifolds and graphs.

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Is the $n/2$-th heat kernel coefficient topological?

I have asked the same question on math.SE, without much success so I'm trying my luck here too. Let $M$ be an $n$-dimensional manifold, with $n$ even and consider the heat kernel of the Laplacian on $ …
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