Question

Is the kernel of the Laplacian fractional operator positive and us a Schwartz function?

score 50 · Answer 1 · 2023-08-19 01:54:04

50

Views

Is the kernel of the Laplacian fractional operator positive and us a Schwartz function?

Published on 19 Aug 2023 - 1:54

score 104 · Answer 2 · 2023-09-01 05:29:07

104

Views

Voigt function from Convolution theorem

Published on 01 Sep 2023 - 5:29

score 60 · Answer 3 · 2023-09-02 18:40:04

60

Views

Limit Bessel Gaussian

Published on 02 Sep 2023 - 18:40

score 147 · Answer 4 · 2023-09-07 15:00:50

147

Views

How do I prove the relation: $\intop_{t=0}^{+\infty}\frac{e^{-t}}{\sqrt{t}}dt=2\sqrt{2}\intop_{x=0}^{+\infty}{\sin(x^2)}dx$

Published on 07 Sep 2023 - 15:00

score 40 · Answer 5 · 2026-02-23 08:30:31

40

Views

Equivalence with the Weierstrass transform

Published on 23 Feb 2026 - 8:30

score 22 · Answer 6 · 2023-09-20 07:07:07

22

Views

A bit of confusion with the Gaussian measure and pushforward by a random vector

Published on 20 Sep 2023 - 7:07

score 62 · Answer 7 · 2026-03-25 09:47:03

62

Views

Approximating a modified Gaussian integral by considering tail-end behavior

Published on 25 Mar 2026 - 9:47

score 42 · Answer 8 · 2023-10-07 00:13:51

42

Views

Integral of squared exponential time elementwise polynomial

Published on 07 Oct 2023 - 0:13

score 100 · Answer 9 · 2023-10-07 02:57:01

100

Views

gauss integral of the Phi function: $\int_{-\infty}^{\infty} \Phi(x/2+k/x) e^{-(x-a)^2/2}dx$

Published on 07 Oct 2023 - 2:57

score 37 · Answer 10 · 2023-10-11 23:11:16

37

Views

Why not use real Gaussian formulas to evaluate complex ones?

Published on 11 Oct 2023 - 23:11

score 29 · Answer 11 · 2023-10-16 21:17:50

29

Views

Taylor expansion for a Gaussian integral in terms of the $2$-moment?

Published on 16 Oct 2023 - 21:17

score 65 · Answer 12 · 2026-03-25 11:27:16

65

Views

If $f(x) \neq 0$ on $[0,\infty)$, does there exists some $\alpha \in [0,\infty)$ such that $\int_0^\infty f(x)e^{-\alpha x^2}dx \neq 0$?

Published on 25 Mar 2026 - 11:27

score 55 · Answer 13 · 2023-10-26 14:17:11

55

Views

Manipulation into Gaussian (?) integral - Statistics

Published on 26 Oct 2023 - 14:17

score 36 · Answer 14 · 2026-02-23 12:07:13

36

Views

A Gaussian measure on $\mathcal{E}'(S^1)$ by Minlos Theorem and its value for $L^2(S^1)$

Published on 23 Feb 2026 - 12:07

score 77 · Answer 15 · 2023-11-04 13:33:47

77

Views

Gaussian path integral over complex field

Published on 04 Nov 2023 - 13:33

List Question

Is the kernel of the Laplacian fractional operator positive and us a Schwartz function?

Voigt function from Convolution theorem

Limit Bessel Gaussian

How do I prove the relation: $\intop_{t=0}^{+\infty}\frac{e^{-t}}{\sqrt{t}}dt=2\sqrt{2}\intop_{x=0}^{+\infty}{\sin(x^2)}dx$

Equivalence with the Weierstrass transform

A bit of confusion with the Gaussian measure and pushforward by a random vector

Approximating a modified Gaussian integral by considering tail-end behavior

Integral of squared exponential time elementwise polynomial

gauss integral of the Phi function: $\int_{-\infty}^{\infty} \Phi(x/2+k/x) e^{-(x-a)^2/2}dx$

Why not use real Gaussian formulas to evaluate complex ones?

Taylor expansion for a Gaussian integral in terms of the $2$-moment?

If $f(x) \neq 0$ on $[0,\infty)$, does there exists some $\alpha \in [0,\infty)$ such that $\int_0^\infty f(x)e^{-\alpha x^2}dx \neq 0$?

Manipulation into Gaussian (?) integral - Statistics

A Gaussian measure on $\mathcal{E}'(S^1)$ by Minlos Theorem and its value for $L^2(S^1)$

Gaussian path integral over complex field

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