Question

General theory of divergent, highly oscillatory integrals

score 192 · Answer 1 · 2026-04-11 13:04:26

192

Views

General theory of divergent, highly oscillatory integrals

Published on 11 Apr 2026 - 13:04

score 462 · Answer 2 · 2026-04-10 20:50:17

462

Views

How do you use the fourier transform to evaluate the integral?

Published on 10 Apr 2026 - 20:50

score 372 · Answer 3 · 2026-04-13 02:34:50

372

Views

Is this norm finite? (Fourier transform of characteristic function of a unit ball in $\mathbb{R}^d$)

Published on 13 Apr 2026 - 2:34

score 1.8k · Answer 4 · 2026-04-08 20:20:54

1.8k

Views

How does the phase plot of Fourier transform of sine wave look like?

Published on 08 Apr 2026 - 20:20

score 97 · Answer 5 · 2026-04-16 00:45:56

97

Views

Compute $\int_0^{2\pi}\ln(a+\cos(x-b)+\cos(x-c)+\cos(c-b))e^{ix}dx$, possibly using Fourier transform

Published on 16 Apr 2026 - 0:45

score 51 · Answer 6 · 2026-04-17 13:50:57

51

Views

$f \in L^{p}(\mathbb{R}^d) \ \forall p \in \mathbb{N}$ but $\mathcal{F}(f) \not \in L^{1}(\mathbb{R}^d)$?

Published on 17 Apr 2026 - 13:50

score 299 · Answer 7 · 2026-04-12 16:30:02

299

Views

How to establish the identity of the infinite sum

Published on 12 Apr 2026 - 16:30

score 54 · Answer 8 · 2026-04-08 18:19:06

How can I calculate the Fourier transformation of a function if I know the outcome of another fourier transformation?

score 119 · Answer 9 · 2026-04-09 17:23:39

119

Views

Fourier transformation of a Heaviside function 5

Published on 09 Apr 2026 - 17:23

score 150 · Answer 10 · 2026-04-08 21:36:55

150

Views

How to measure a non-integer number of periods of a sine wave signal using harmonic analysis

Published on 08 Apr 2026 - 21:36

score 139 · Answer 11 · 2026-04-16 08:42:43

139

Views

Using parseval's theory to calculate energy of signal $f(t)=e^{-t}H(t-\frac{1}{2})$

Published on 16 Apr 2026 - 8:42

score 75 · Answer 12 · 2026-04-12 00:14:52

75

Views

Min. value of integral

Published on 12 Apr 2026 - 0:14

score 1.4k · Answer 13 · 2026-04-17 00:28:36

1.4k

Views

Derivation of integration property of Fourier transform

Published on 17 Apr 2026 - 0:28

score 150 · Answer 14 · 2026-04-16 13:48:18

150

Views

Show the sharp constant $\frac{p^{1/p} q^{1/q} r^{1/r}}{p'^{1/p'} q'^{1/q'} r'^{1/r'}} \leq 1$

Published on 16 Apr 2026 - 13:48

score 36 · Answer 15 · 2026-04-10 14:50:01

36

Views

Showing that the function is decreasing

Published on 10 Apr 2026 - 14:50

List Question

General theory of divergent, highly oscillatory integrals

How do you use the fourier transform to evaluate the integral?

Is this norm finite? (Fourier transform of characteristic function of a unit ball in $\mathbb{R}^d$)

How does the phase plot of Fourier transform of sine wave look like?

Compute $\int_0^{2\pi}\ln(a+\cos(x-b)+\cos(x-c)+\cos(c-b))e^{ix}dx$, possibly using Fourier transform

$f \in L^{p}(\mathbb{R}^d) \ \forall p \in \mathbb{N}$ but $\mathcal{F}(f) \not \in L^{1}(\mathbb{R}^d)$?

How to establish the identity of the infinite sum

How can I calculate the Fourier transformation of a function if I know the outcome of another fourier transformation?

Fourier transformation of a Heaviside function 5

How to measure a non-integer number of periods of a sine wave signal using harmonic analysis

Using parseval's theory to calculate energy of signal $f(t)=e^{-t}H(t-\frac{1}{2})$

Min. value of integral

Derivation of integration property of Fourier transform

Show the sharp constant $\frac{p^{1/p} q^{1/q} r^{1/r}}{p'^{1/p'} q'^{1/q'} r'^{1/r'}} \leq 1$

Showing that the function is decreasing

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