Question

What is the theory behind Fourier transform of "bad" (e.g. unbounded) functions?

score 1.2k · Answer 1 · 2014-05-18 16:42:46

1.2k

Views

What is the theory behind Fourier transform of "bad" (e.g. unbounded) functions?

Published on 18 May 2014 - 16:42

score 146 · Answer 2 · 2026-03-26 11:16:17

146

Views

Integral is equal to $0$

Published on 26 Mar 2026 - 11:16

score 73 · Answer 3 · 2014-05-19 01:10:51

73

Views

Show that there does not exist $f\in L^2(R)$ such that $\overline{{\rm span}\{f(\cdot-n):n\in Z\}}=L^2(R)$

Published on 19 May 2014 - 1:10

score 3.1k · Answer 4 · 2026-03-25 08:07:43

3.1k

Views

When is a Fourier series analytic?

Published on 25 Mar 2026 - 8:07

score 302 · Answer 5 · 2014-05-19 05:41:19

302

Views

a generalization of normal distribution to the complex case: complex integral over the real line

Published on 19 May 2014 - 5:41

score 2k · Answer 6 · 2026-03-29 20:46:20

2k

Views

Calculating own dft via matlab?

Published on 29 Mar 2026 - 20:46

score 44 · Answer 7 · 2026-03-30 21:11:24

44

Views

A proof regarding Fourier-Polynoms

Published on 30 Mar 2026 - 21:11

score 64 · Answer 8 · 2014-05-19 18:36:14

64

Views

Finding the sum of a trigonometric series, fourier series

Published on 19 May 2014 - 18:36

score 82 · Answer 9 · 2026-03-26 04:34:51

82

Views

If $f$ is $2 \pi$ periodic and $\int_{0}^{2 \pi} f(t) dt=0$ then $\int_{0}^{2 \pi} (f(t))^2 dt \le \int_{0}^{2 \pi} (f'(t))^2 dt$

Published on 26 Mar 2026 - 4:34

score 4.1k · Answer 10 · 2014-05-19 18:40:31

4.1k

Views

Understanding dot product of continuous functions

Published on 19 May 2014 - 18:40

score 112 · Answer 11 · 2014-05-20 06:12:42

112

Views

What are the steps to derive the following inverse Fourier transformations

Published on 20 May 2014 - 6:12

score 169 · Answer 12 · 2014-05-20 06:33:04

169

Views

Proving that $\langle f, g\rangle = \sum_n \langle f, \phi_n \rangle \overline{\langle g, \phi_n \rangle}$

Published on 20 May 2014 - 6:33

score 2.7k · Answer 13 · 2014-05-20 08:54:31

2.7k

Views

Convolution of L1 & L2 function: definition

Published on 20 May 2014 - 8:54

score 499 · Answer 14 · 2014-05-20 10:43:19

499

Views

Show that $f(x)$ is orthogonal to $f'(x)$ in $L^2(-\pi, \pi)$

Published on 20 May 2014 - 10:43

score 84 · Answer 15 · 2014-05-20 11:31:05

84

Views

Can one express $f'(x)$ with the same basis as one uses for $f$?

Published on 20 May 2014 - 11:31

List Question

What is the theory behind Fourier transform of "bad" (e.g. unbounded) functions?

Integral is equal to $0$

Show that there does not exist $f\in L^2(R)$ such that $\overline{{\rm span}\{f(\cdot-n):n\in Z\}}=L^2(R)$

When is a Fourier series analytic?

a generalization of normal distribution to the complex case: complex integral over the real line

Calculating own dft via matlab?

A proof regarding Fourier-Polynoms

Finding the sum of a trigonometric series, fourier series

If $f$ is $2 \pi$ periodic and $\int_{0}^{2 \pi} f(t) dt=0$ then $\int_{0}^{2 \pi} (f(t))^2 dt \le \int_{0}^{2 \pi} (f'(t))^2 dt$

Understanding dot product of continuous functions

What are the steps to derive the following inverse Fourier transformations

Proving that $\langle f, g\rangle = \sum_n \langle f, \phi_n \rangle \overline{\langle g, \phi_n \rangle}$

Convolution of L1 & L2 function: definition

Show that $f(x)$ is orthogonal to $f'(x)$ in $L^2(-\pi, \pi)$

Can one express $f'(x)$ with the same basis as one uses for $f$?

Trending Questions

Popular # Hahtags

Popular Questions