Question

Scalar product for duality - symbol and adjoint operator problem

score 88 · Answer 1 · 2026-04-01 15:50:47

88

Views

Scalar product for duality - symbol and adjoint operator problem

Published on 01 Apr 2026 - 15:50

score 25 · Answer 2 · 2026-02-23 10:01:15

25

Views

Question about the solution to a Fourier-cosine function

Published on 23 Feb 2026 - 10:01

score 30 · Answer 3 · 2019-12-01 15:46:14

30

Views

Can we expect that $ \int_{\mathbb T} \left| \sum_{n\in \mathbb N} e^{-in^{r}} e^{inx} \right| dx $ is finite for some $r>0$?

Published on 01 Dec 2019 - 15:46

score 31 · Answer 4 · 2019-12-01 16:52:54

31

Views

Confusion about fourier series coefficient formulas

Published on 01 Dec 2019 - 16:52

score 174 · Answer 5 · 2019-12-02 05:39:23

174

Views

Integrating the Fourier series term by term

Published on 02 Dec 2019 - 5:39

score 61 · Answer 6 · 2019-12-02 23:18:50

61

Views

How is this function even? $f(t)=(\pi-t)^2$, for $0\le t \le2\pi$

Published on 02 Dec 2019 - 23:18

score 44 · Answer 7 · 2026-03-28 11:27:21

44

Views

Why $f \mid V(m) \mid U(m) = f$ for modular form $f$, where $U, V$ are $U, V$-operators?

Published on 28 Mar 2026 - 11:27

score 42 · Answer 8 · 2019-12-03 14:37:01

42

Views

Question about Dirichlets condition of of a Fourier-Sine series

Published on 03 Dec 2019 - 14:37

score 20 · Answer 9 · 2019-12-04 13:30:33

20

Views

Separation of variables Fourier constants integral

Published on 04 Dec 2019 - 13:30

score 95 · Answer 10 · 2019-12-04 17:41:34

95

Views

If $\int_{-\pi}^{\pi} f(x) \cos(nx) = 0 = \int_{-\pi}^{\pi} f(x) \sin(nx)$, then $f = 0$

Published on 04 Dec 2019 - 17:41

score 134 · Answer 11 · 2026-02-23 05:15:42

134

Views

Proof of the integral representation of the arithmetic mean of the partial sums of Fourier series

Published on 23 Feb 2026 - 5:15

score 101 · Answer 12 · 2019-12-05 04:44:33

101

Views

prove that a continuous function on the unit circle converge to $\int_0^1 f(e^{2 \pi i x})e^{-2 \pi i nx} dx$

Published on 05 Dec 2019 - 4:44

score 29 · Answer 13 · 2019-12-08 17:17:07

29

Views

Period of a REAL exponential function?

Published on 08 Dec 2019 - 17:17

score 59 · Answer 14 · 2026-04-02 07:07:44

59

Views

Given $\langle f,g \rangle := \frac12\int_{-\pi}^{\pi}f(x)\overline{g(x)}\,dx$ I'm searching an example of $f \neq 0$ such that $\langle f,f\rangle=0$

Published on 02 Apr 2026 - 7:07

score 141 · Answer 15 · 2026-04-01 15:49:25

141

Views

Is T a continuous linear map?

Published on 01 Apr 2026 - 15:49

List Question

Scalar product for duality - symbol and adjoint operator problem

Question about the solution to a Fourier-cosine function

Can we expect that $ \int_{\mathbb T} \left| \sum_{n\in \mathbb N} e^{-in^{r}} e^{inx} \right| dx $ is finite for some $r>0$?

Confusion about fourier series coefficient formulas

Integrating the Fourier series term by term

How is this function even? $f(t)=(\pi-t)^2$, for $0\le t \le2\pi$

Why $f \mid V(m) \mid U(m) = f$ for modular form $f$, where $U, V$ are $U, V$-operators?

Question about Dirichlets condition of of a Fourier-Sine series

Separation of variables Fourier constants integral

If $\int_{-\pi}^{\pi} f(x) \cos(nx) = 0 = \int_{-\pi}^{\pi} f(x) \sin(nx)$, then $f = 0$

Proof of the integral representation of the arithmetic mean of the partial sums of Fourier series

prove that a continuous function on the unit circle converge to $\int_0^1 f(e^{2 \pi i x})e^{-2 \pi i nx} dx$

Period of a REAL exponential function?

Given $\langle f,g \rangle := \frac12\int_{-\pi}^{\pi}f(x)\overline{g(x)}\,dx$ I'm searching an example of $f \neq 0$ such that $\langle f,f\rangle=0$

Is T a continuous linear map?

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