Question

For $\alpha \in \left(0, \frac{1}{2}\right)$, $\sum_{n = 1}^{\infty} \frac{\sin(nx)}{n^{\alpha}}$ is not the Fourier series of a RI-function

score 71 · Answer 1 · 2023-04-07 17:48:30

71

Views

For $\alpha \in \left(0, \frac{1}{2}\right)$, $\sum_{n = 1}^{\infty} \frac{\sin(nx)}{n^{\alpha}}$ is not the Fourier series of a RI-function

Published on 07 Apr 2023 - 17:48

score 49 · Answer 2 · 2023-04-13 17:15:38

49

Views

Sequence definition of continuity for function on $\mathbb R^\mathbb N$

Published on 13 Apr 2023 - 17:15

score 37 · Answer 3 · 2023-04-15 05:29:09

37

Views

Intuition in choosing finite set of points in proof that Pointwise convergence implies convergence in pointwise topology

Published on 15 Apr 2023 - 5:29

score 75 · Answer 4 · 2023-04-16 20:57:39

75

Views

Summing Over Infinitely Many Frequencies

Published on 16 Apr 2023 - 20:57

score 30 · Answer 5 · 2023-04-19 11:51:44

30

Views

Convergence almost everywhere criterion

Published on 19 Apr 2023 - 11:51

score 162 · Answer 6 · 2023-04-21 13:31:56

162

Views

Initial Topology and Weak and Strong Operator Topology

Published on 21 Apr 2023 - 13:31

score 37 · Answer 7 · 2023-04-25 14:51:05

37

Views

prove there is no pointwise convergence of $\sin(nx)$

Published on 25 Apr 2023 - 14:51

score 33 · Answer 8 · 2023-04-30 09:22:30

33

Views

Pointwise and uniform convergence for particularly well-behaved functions

Published on 30 Apr 2023 - 9:22

score 107 · Answer 9 · 2023-05-02 08:20:13

107

Views

Fundamental theorem of $\Gamma$-convergence

Published on 02 May 2023 - 8:20

score 99 · Answer 10 · 2023-05-07 16:48:31

99

Views

Probability convergence of a martingale defined as iid random variable product

Published on 07 May 2023 - 16:48

score 47 · Answer 11 · 2023-05-08 12:37:15

47

Views

Weak Convergence implies Pointwise Convergence (on a Countable set)

Published on 08 May 2023 - 12:37

score 40 · Answer 12 · 2023-06-07 19:33:28

40

Views

If a sequence of finite signed measures converges the sequence of their "maximizers" converges?

Published on 07 Jun 2023 - 19:33

score 21 · Answer 13 · 2023-06-10 13:24:04

21

Views

Bound for the difference between two functions

Published on 10 Jun 2023 - 13:24

score 103 · Answer 14 · 2023-06-27 10:13:32

103

Views

Pointwise convergence of generalized inverse function

Published on 27 Jun 2023 - 10:13

score 17 · Answer 15 · 2023-06-28 22:45:04

17

Views

Applying convergence space to "convergence in measure" and processes

Published on 28 Jun 2023 - 22:45

List Question

For $\alpha \in \left(0, \frac{1}{2}\right)$, $\sum_{n = 1}^{\infty} \frac{\sin(nx)}{n^{\alpha}}$ is not the Fourier series of a RI-function

Sequence definition of continuity for function on $\mathbb R^\mathbb N$

Intuition in choosing finite set of points in proof that Pointwise convergence implies convergence in pointwise topology

Summing Over Infinitely Many Frequencies

Convergence almost everywhere criterion

Initial Topology and Weak and Strong Operator Topology

prove there is no pointwise convergence of $\sin(nx)$

Pointwise and uniform convergence for particularly well-behaved functions

Fundamental theorem of $\Gamma$-convergence

Probability convergence of a martingale defined as iid random variable product

Weak Convergence implies Pointwise Convergence (on a Countable set)

If a sequence of finite signed measures converges the sequence of their "maximizers" converges?

Bound for the difference between two functions

Pointwise convergence of generalized inverse function

Applying convergence space to "convergence in measure" and processes

Trending Questions

Popular # Hahtags

Popular Questions