List questions from harmonic-analysis

31

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What is the inclusion property between the Besov space $B^n_{\infty,1}(\mathbb{T})$ and $C^n(\mathbb T)$?

Published on 18 Mar 2024 - 18:08

18

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Condition of function $f$ for non-only-positivity of its Fourier transform

Published on 19 Mar 2026 - 8:48

44

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A sequentially continuous linear operator on tempered distributions is continuous

Published on 02 Apr 2026 - 23:16

39

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Fourier transform as a unitary representation

Published on 23 Feb 2026 - 3:01

33

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Finding the harmonic conjugate of the function

Published on 31 Mar 2026 - 5:00

56

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Does this proof for product estimate in Sobolev spaces work?

Published on 26 Mar 2026 - 1:07

35

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More Efficient Version of Vitali Covering Lemma

Published on 27 Mar 2024 - 19:13

15

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Vanishing of an exponential sum $f(x)=\sum_{k=1}^n a_k e^{ik b_k}$ on sets of the form $\{ \alpha l : l = -m, \dots, m \}$

Published on 29 Mar 2024 - 22:35

23

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Is this summation over Fourier coefficients a meaningful way to compute dot product despite its weaknesses? Or what is the better way to define it?

Published on 30 Mar 2024 - 21:00

19

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Showing that any harmonic tempered distribution is a polynomial.

Published on 03 Apr 2026 - 0:50

505

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Harmonic Analysis on the Affine Group

Published on 29 Mar 2026 - 22:06

448

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Group C*-algebra of an abelian discrete group

Published on 03 Apr 2026 - 14:25

201

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Using taylor formula to compute laplace operator

Published on 04 Jan 2015 - 0:39

936

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The regularity of elliptic equation

Published on 27 Mar 2026 - 2:34

1.9k

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Limit of bounded harmonic functions is harmonic

Published on 30 Mar 2026 - 22:54

List Question

What is the inclusion property between the Besov space $B^n_{\infty,1}(\mathbb{T})$ and $C^n(\mathbb T)$?

Condition of function $f$ for non-only-positivity of its Fourier transform

A sequentially continuous linear operator on tempered distributions is continuous

Fourier transform as a unitary representation

Finding the harmonic conjugate of the function

Does this proof for product estimate in Sobolev spaces work?

More Efficient Version of Vitali Covering Lemma

Vanishing of an exponential sum $f(x)=\sum_{k=1}^n a_k e^{ik b_k}$ on sets of the form $\{ \alpha l : l = -m, \dots, m \}$

Is this summation over Fourier coefficients a meaningful way to compute dot product despite its weaknesses? Or what is the better way to define it?

Showing that any harmonic tempered distribution is a polynomial.

Harmonic Analysis on the Affine Group

Group C*-algebra of an abelian discrete group

Using taylor formula to compute laplace operator

The regularity of elliptic equation

Limit of bounded harmonic functions is harmonic

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