# Questions tagged [harmonic-analysis]

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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### Reverse Loomis-Whitney Inequality for funcctions

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### Asymptotics of a function from its Fourier transform

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### A question about integration of spherical harmonics on $(S ^ 2, can)$

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### More general form of Fourier inversion formula

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### Characterizing geometrically Schwartz Kernels of pseudodifferential operators on a compact manifold

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### Interchanging Integration Order involving Fourier Transform

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### Hardy-Littlewood in Sobolev Spaces

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### Shattering with sinusoids

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### Can one realize this as an ergodic process?

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### Failure of Schur's lemma for topological group representations

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### Ergodic theorem and products

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### How to find the cosets parameterizing quotient spaces such as elliptic three-manifolds?

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### Can Gaussian measure be characterized by unitary representations?

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### Singular integral operators and PDEs

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