Question

Series - $\sum_{\vec{n}\in\mathbb{Z}^{d}/\left\{ 0\right\} }\frac{\cos\left(\vec{n}\cdot\vec{x}\right)}{\vec{n}^{2}}$ multivarible case

score 32 · Answer 1 · 2026-04-16 10:17:47

32

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Series - $\sum_{\vec{n}\in\mathbb{Z}^{d}/\left\{ 0\right\} }\frac{\cos\left(\vec{n}\cdot\vec{x}\right)}{\vec{n}^{2}}$ multivarible case

Published on 16 Apr 2026 - 10:17

score 27 · Answer 2 · 2026-04-12 06:49:05

27

Views

Adding complex exponential in Fourier coefficients

Published on 12 Apr 2026 - 6:49

score 55 · Answer 3 · 2026-04-10 06:42:30

55

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Is my lecturers solution incorret? Integral in relation to a partial differential equation

Published on 10 Apr 2026 - 6:42

score 74 · Answer 4 · 2026-04-14 22:54:04

74

Views

$\frac{\pi}{sin(a \pi)}=\frac{1}{a}+2a\sum_{n=1}^{\infty}\frac{(-1)^{n+1}}{n^2-a^2}$

Published on 14 Apr 2026 - 22:54

score 43 · Answer 5 · 2026-04-13 12:13:27

43

Views

finding series of polynomials converging to $f(x)=x$

Published on 13 Apr 2026 - 12:13

score 22 · Answer 6 · 2026-04-16 00:18:00

22

Views

Solution of systems of equations: $ \vec{x}''(t) =A\vec{x}(t)$ is similar to fourier series, is there a connection between these two?

Published on 16 Apr 2026 - 0:18

score 48 · Answer 7 · 2026-04-11 18:26:25

48

Views

Minimum of a finite Fourier sum

Published on 11 Apr 2026 - 18:26

score 48 · Answer 8 · 2026-04-13 14:54:40

Is there an easy way to see why any periodic function can be written as a sum $ \sum_{n=1}^\infty c_n e^{inx} $

score 90 · Answer 9 · 2026-04-11 12:44:12

90

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Is $f(x)=\lim_{m\to\infty}\frac1L\int_{-\frac L2}^\frac L2f(t)\csc\bigl(\frac{\pi(t-x)}L\bigr)\sin\bigl(\frac{\pi(2m+1)(t-x)}L\bigr)dt$ true?

Published on 11 Apr 2026 - 12:44

score 120 · Answer 10 · 2026-05-05 05:08:51

120

Views

How to formulate an exponential form for Fourier Series function?

Published on 05 May 2026 - 5:08

score 53 · Answer 11 · 2026-04-15 10:50:40

53

Views

Normal convergence and continuity of Fourier series

Published on 15 Apr 2026 - 10:50

score 59 · Answer 12 · 2026-04-12 13:20:55

59

Views

Proving two theorems for Fourier Analysis

Published on 12 Apr 2026 - 13:20

score 74 · Answer 13 · 2026-04-10 18:30:41

74

Views

Fourier coefficients of a function and its derivative

Published on 10 Apr 2026 - 18:30

score 71 · Answer 14 · 2026-04-14 04:52:08

71

Views

Fourier series converging to a function which doesn't satisfy Dirichlet's conditions

Published on 14 Apr 2026 - 4:52

score 89 · Answer 15 · 2026-04-17 01:52:15

89

Views

I calculated a complex Fourier series and got this result: $\sum_{k=-n}^{n}\frac{-(-1)^k -1}{(k^2-1)}e^{ikt}$.

Published on 17 Apr 2026 - 1:52

List Question

Series - $\sum_{\vec{n}\in\mathbb{Z}^{d}/\left\{ 0\right\} }\frac{\cos\left(\vec{n}\cdot\vec{x}\right)}{\vec{n}^{2}}$ multivarible case

Adding complex exponential in Fourier coefficients

Is my lecturers solution incorret? Integral in relation to a partial differential equation

$\frac{\pi}{sin(a \pi)}=\frac{1}{a}+2a\sum_{n=1}^{\infty}\frac{(-1)^{n+1}}{n^2-a^2}$

finding series of polynomials converging to $f(x)=x$

Solution of systems of equations: $ \vec{x}''(t) =A\vec{x}(t)$ is similar to fourier series, is there a connection between these two?

Minimum of a finite Fourier sum

Is there an easy way to see why any periodic function can be written as a sum $ \sum_{n=1}^\infty c_n e^{inx} $

Is $f(x)=\lim_{m\to\infty}\frac1L\int_{-\frac L2}^\frac L2f(t)\csc\bigl(\frac{\pi(t-x)}L\bigr)\sin\bigl(\frac{\pi(2m+1)(t-x)}L\bigr)dt$ true?

How to formulate an exponential form for Fourier Series function?

Normal convergence and continuity of Fourier series

Proving two theorems for Fourier Analysis

Fourier coefficients of a function and its derivative

Fourier series converging to a function which doesn't satisfy Dirichlet's conditions

I calculated a complex Fourier series and got this result: $\sum_{k=-n}^{n}\frac{-(-1)^k -1}{(k^2-1)}e^{ikt}$.

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