# 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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### A bounded extension operator

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### Schrodinger operator with matrix potential

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### The space of harmonic functions on an open set is infinite dimensional? [closed]

**4**

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### Riesz transform of fractional operators

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### Moments of Plücker coordinates on complex Grassmannian and log-concavity

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### Condition on a function to have a Fourier transform in $L^{2-\varepsilon}$

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### A characterization of constant functions

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### Problem with completeness of an orthogonal system

**3**

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### Efficient boxing for a mean value in the Bombieri Iwaniec method

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### Proof that Littlewood-Paley vertical square function is NOT bounded on L^infinity

**6**

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### the fractional integration method of the proof of Stein-Tomas theorem?

**14**

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### History of the notion of irreducible representation

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### Is this a positive definite kernel?

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### Strichartz estimate for the Schrödinger equation

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### Quantum analogue of certain property of compact groups

**4**

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### Measure algebra on the Bohr compactification vs the bidual algebras

**4**

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### Idea behind Carleson's theorem modern proof “intitial reductions”

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### Space contained in the Interpolation of $L^\infty$ and the Wiener Algebra $\mathcal{F}(L^1)$

**2**

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### On conditionally negative definiteness of a kernel

**7**

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### Compactly supported probability measure in high dimensions with fast Fourier decay?

**1**

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### What is the definition of Plancherel density?

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### What is the relationship between Hecke algebras and the enveloping algebra of Lie groups?

**3**

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### On Pitt's inequality (weighted Fourier inequality)

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### Fourier dimension of radial set

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### How does the constant bound on Hormander's $L^2$ estimate for non-degenerate phase depend on the cut-off function?

**2**

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### Derivation of an uncertainty principle from the symplectic non-squeezing theorem

**2**

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### Classical singular integral operator

**6**

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### Stationary phase in spherical integral

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### Sobolev convergence of Fourier series

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### An inequality in harmonic analysis with the BMO flavour

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### Reference request: harmonic analysis with non-Lebesgue reference measure

**7**

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### Degree of automorphic forms, SL(3,Z), and the elliptic Gamma function

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### A question about homogeneous distribution

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### Certain Fourier transforms involving Whittaker function and Bessel functions

**2**

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### Laplace equation on the disk with Robin boundary condition

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### Asymptotic decay rate of an oscillatory integral

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### Discrete superharmonicity

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### Extension of subharmonic function: can someone explain the details?

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### Common eigenvector of the Wigner D matrices for the eigenvalue $\lambda = 1$?

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### References for Neumann eigenfunctions

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### Logarithmic Sobolev growth of time-space-periodic Schrödinger solutions

**3**

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### Reference request - Weyl's integration formula

**10**

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### A question on trig series

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### Is integration by parts useful for obtaining global cancellation?

**4**

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### The formula for (and computation of) the inverse p-adic mellin transform

**1**

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### Duality relation of Lorentz space $L^{p,1}$

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### How large this subset is to say that it should equal the group?

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### Which plane curves can be harmonically parametrized?

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### induced maps between group $C^*$-algebras

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