Question

$F^E$ is isomorphic to an $E$-indexed product space.

score 48 · Answer 1 · 2021-10-22 08:21:51

48

Views

$F^E$ is isomorphic to an $E$-indexed product space.

Published on 22 Oct 2021 - 8:21

score 673 · Answer 2 · 2026-04-12 23:11:43

673

Views

Showing set of complex exponentials is an orthogonal basis

Published on 12 Apr 2026 - 23:11

score 68 · Answer 3 · 2026-03-30 05:26:34

68

Views

Orthogonal basis for $L^2[0,1]$

Published on 30 Mar 2026 - 5:26

score 27 · Answer 4 · 2021-10-27 14:31:23

27

Views

Sharp upper bound for distance between projections onto boundary of unit sphere in $\mathbb{R}^n$

Published on 27 Oct 2021 - 14:31

score 53 · Answer 5 · 2026-03-26 09:51:27

53

Views

Show that $|||\nabla^a f||\nabla^b g|||_{L^2}\leq_{a,b,d} ||f||_{L^{\infty}}||g||_{H^{a+b}}+||f||_{H^{a+b}}||g||_{L^{\infty}}$

Published on 26 Mar 2026 - 9:51

score 34 · Answer 6 · 2026-04-11 10:29:12

34

Views

How to perform harmonic balancing on a 2nd order linear differential equation with time-varying coefficients

Published on 11 Apr 2026 - 10:29

score 411 · Answer 7 · 2026-04-13 02:50:35

411

Views

Mean Value Relation and Harmonic Functions

Published on 13 Apr 2026 - 2:50

score 89 · Answer 8 · 2026-04-13 06:23:52

89

Views

Prove smooth functions vanishing at infinity belong to Schwartz space

Published on 13 Apr 2026 - 6:23

score 122 · Answer 9 · 2026-04-13 11:50:57

122

Views

Prove that the Fourier transform of a function agreeing with $1/\log(|x|)$ for $|x| \geq 2$ is integrable.

Published on 13 Apr 2026 - 11:50

score 46 · Answer 10 · 2021-11-09 23:21:03

46

Views

Lower bound on speed of $L_1$ Cesaro convergence

Published on 09 Nov 2021 - 23:21

score 80 · Answer 11 · 2026-03-30 06:10:16

80

Views

Integral version of the lebesgue differentation theorem

Published on 30 Mar 2026 - 6:10

score 94 · Answer 12 · 2026-03-25 16:39:13

94

Views

Hormander condition vs $L_1$-integral regularity condition

Published on 25 Mar 2026 - 16:39

score 287 · Answer 13 · 2026-04-09 23:33:44

287

Views

Prove Hilbert transformation is well defined for continuous function with compact support.

Published on 09 Apr 2026 - 23:33

score 216 · Answer 14 · 2026-03-25 20:21:16

216

Views

Relation between the Hilbert-Hankel operator and Laplace transform on $L^2(\mathbb R_{>0})$

Published on 25 Mar 2026 - 20:21

score 48 · Answer 15 · 2026-03-26 09:51:23

48

Views

$\|\nabla_x(-\Delta_x)^{-1} P_{\leq 1} f\|_{L^p}\lesssim_p\|\langle x\rangle f\|_{L^1}$ for all mean-zero $f$ and all $p\in(1,\infty]$.

Published on 26 Mar 2026 - 9:51

List Question

$F^E$ is isomorphic to an $E$-indexed product space.

Showing set of complex exponentials is an orthogonal basis

Orthogonal basis for $L^2[0,1]$

Sharp upper bound for distance between projections onto boundary of unit sphere in $\mathbb{R}^n$

Show that $|||\nabla^a f||\nabla^b g|||_{L^2}\leq_{a,b,d} ||f||_{L^{\infty}}||g||_{H^{a+b}}+||f||_{H^{a+b}}||g||_{L^{\infty}}$

How to perform harmonic balancing on a 2nd order linear differential equation with time-varying coefficients

Mean Value Relation and Harmonic Functions

Prove smooth functions vanishing at infinity belong to Schwartz space

Prove that the Fourier transform of a function agreeing with $1/\log(|x|)$ for $|x| \geq 2$ is integrable.

Lower bound on speed of $L_1$ Cesaro convergence

Integral version of the lebesgue differentation theorem

Hormander condition vs $L_1$-integral regularity condition

Prove Hilbert transformation is well defined for continuous function with compact support.

Relation between the Hilbert-Hankel operator and Laplace transform on $L^2(\mathbb R_{>0})$

$\|\nabla_x(-\Delta_x)^{-1} P_{\leq 1} f\|_{L^p}\lesssim_p\|\langle x\rangle f\|_{L^1}$ for all mean-zero $f$ and all $p\in(1,\infty]$.

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