List questions from fourier-analysis

Published on 10 Apr 2026 - 21:49

83

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Fourier series for $\cos(x)^n$

Published on 12 Apr 2026 - 6:09

67

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Converse of the Sobolev Theorem

Published on 25 Mar 2026 - 20:58

87

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I need to show a funcion is $L^1_{loc}$

Published on 17 Apr 2026 - 5:02

56

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Antiderivative of $f\cdot Hf$, where $H$ is the Hilbert transform

Published on 13 Apr 2026 - 16:48

60

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PDE solution - is my argument correct?

Published on 13 Apr 2026 - 18:04

51

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Integral of Jacobi theta function is bounded

Published on 11 Apr 2026 - 3:56

35

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Evaluating Fourier Coefficients and Proving Equivalence of Fourier Expansion for Eisenstein Series and Classical Einsenstein Series

Published on 14 Apr 2026 - 15:11

146

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A function in $L^1(\mathbb{R}^d)$ satisfying $f(x)+f\ast g(x)=e^{-|x|^2}.$

Published on 16 Apr 2026 - 1:08

54

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Decomposition of $L^2(G)$ related to Peter Weyl Theorem involving induced representations

Published on 25 Mar 2026 - 14:36

72

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On the Fourier transform of bump functions

Published on 13 Apr 2026 - 18:01

216

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1D Heat Equation with Insulated Boundaries with Dirac Delta

Published on 09 Apr 2026 - 6:03

67

Views

Given an operator that is a Fourier multiplier. What are the conditions on the operator for which one may transform in and out to apply it correctly.

Published on 10 Apr 2026 - 18:35

39

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Exponential $L^2$ convergence of the solution of this PDE

Published on 15 Apr 2026 - 22:18

66

Views

Stein's Fourier Analysis - Chapter 2, Problem 2(b) - bound the partial Fourier sum from below.

Published on 10 Apr 2026 - 23:24

List Question

Solution of the heat equation and Fourier series

Fourier series for $\cos(x)^n$

Converse of the Sobolev Theorem

I need to show a funcion is $L^1_{loc}$

Antiderivative of $f\cdot Hf$, where $H$ is the Hilbert transform

PDE solution - is my argument correct?

Integral of Jacobi theta function is bounded

Evaluating Fourier Coefficients and Proving Equivalence of Fourier Expansion for Eisenstein Series and Classical Einsenstein Series

A function in $L^1(\mathbb{R}^d)$ satisfying $f(x)+f\ast g(x)=e^{-|x|^2}.$

Decomposition of $L^2(G)$ related to Peter Weyl Theorem involving induced representations

On the Fourier transform of bump functions

1D Heat Equation with Insulated Boundaries with Dirac Delta

Given an operator that is a Fourier multiplier. What are the conditions on the operator for which one may transform in and out to apply it correctly.

Exponential $L^2$ convergence of the solution of this PDE

Stein's Fourier Analysis - Chapter 2, Problem 2(b) - bound the partial Fourier sum from below.

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