Question

Riesz Representation Theorem & Weak closure of orthonormal basis in Hilbert space

score 78 · Answer 1 · 2026-03-26 11:17:38

78

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Riesz Representation Theorem & Weak closure of orthonormal basis in Hilbert space

Published on 26 Mar 2026 - 11:17

score 67 · Answer 2 · 2023-11-10 21:26:06

67

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Absolute value of dot product of high-dimensional vector

Published on 10 Nov 2023 - 21:26

score 28 · Answer 3 · 2023-11-12 05:21:49

28

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The converse for the basis of tensor product of Hilbert spaces

Published on 12 Nov 2023 - 5:21

score 43 · Answer 4 · 2023-11-13 19:38:15

43

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Orthogonal Bases and Fourier Approximation

Published on 13 Nov 2023 - 19:38

score 34 · Answer 5 · 2023-11-18 10:02:01

34

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Orthonormal Basis of $L^2[0,1]$ having indicator functions?

Published on 18 Nov 2023 - 10:02

score 77 · Answer 6 · 2023-12-08 15:06:16

77

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Brezis' exercise 8.28.10: prove that there exists a constant $a \in \mathbb{R}$ (depending on $f)$ such that $(k \alpha_k(f)+a)_k \in \ell^2$

Published on 08 Dec 2023 - 15:06

score 95 · Answer 7 · 2023-12-11 02:00:11

95

Views

Striving towards a more precise, truthful, and accurate understanding of why gimbal lock happens.

Published on 11 Dec 2023 - 2:00

score 16 · Answer 8 · 2023-12-16 13:25:28

16

Views

Basis of the rows space after multiplication with an orthonormal matrix.

Published on 16 Dec 2023 - 13:25

score 38 · Answer 9 · 2026-03-25 17:33:18

38

Views

How is this stability bound for the unique interpolant possible? $|s^*(x)|^2\le K(x,x)\|f\|_K\text{cond}_2(G_S)$

Published on 25 Mar 2026 - 17:33

score 124 · Answer 10 · 2023-12-31 21:42:46

124

Views

Given $\|x_1\|=\|x_2\|$, then there is an orthogonal matrix $\Gamma$ such that $x_2=\Gamma x_1$.

Published on 31 Dec 2023 - 21:42

score 68 · Answer 11 · 2024-01-05 00:14:10

68

Views

Question about derivation of Fourier transform

Published on 05 Jan 2024 - 0:14

score 54 · Answer 12 · 2024-01-16 17:57:46

54

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Change of basis and transformation of a vector.

Published on 16 Jan 2024 - 17:57

score 71 · Answer 13 · 2024-01-28 13:22:49

71

Views

Trouble verifying a step in a proof regarding the span of an orthonormal family

Published on 28 Jan 2024 - 13:22

score 41 · Answer 14 · 2024-01-30 17:41:09

41

Views

Irrational Number Decomposition

Published on 30 Jan 2024 - 17:41

score 63 · Answer 15 · 2024-02-23 17:01:31

63

Views

Norm of cos in $L^2[-T,T]$

Published on 23 Feb 2024 - 17:01

List Question

Riesz Representation Theorem & Weak closure of orthonormal basis in Hilbert space

Absolute value of dot product of high-dimensional vector

The converse for the basis of tensor product of Hilbert spaces

Orthogonal Bases and Fourier Approximation

Orthonormal Basis of $L^2[0,1]$ having indicator functions?

Brezis' exercise 8.28.10: prove that there exists a constant $a \in \mathbb{R}$ (depending on $f)$ such that $(k \alpha_k(f)+a)_k \in \ell^2$

Striving towards a more precise, truthful, and accurate understanding of why gimbal lock happens.

Basis of the rows space after multiplication with an orthonormal matrix.

How is this stability bound for the unique interpolant possible? $|s^*(x)|^2\le K(x,x)\|f\|_K\text{cond}_2(G_S)$

Given $\|x_1\|=\|x_2\|$, then there is an orthogonal matrix $\Gamma$ such that $x_2=\Gamma x_1$.

Question about derivation of Fourier transform

Change of basis and transformation of a vector.

Trouble verifying a step in a proof regarding the span of an orthonormal family

Irrational Number Decomposition

Norm of cos in $L^2[-T,T]$

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