Question

If $f$ is a continuous periodic function with irrational period and if $\sum_n\frac{|f(n)|}{n}<\infty$, then $f$ is identically zero.

score 560 · Answer 1 · 2013-08-22 18:20:28

560

Views

If $f$ is a continuous periodic function with irrational period and if $\sum_n\frac{|f(n)|}{n}<\infty$, then $f$ is identically zero.

Published on 22 Aug 2013 - 18:20

score 35 · Answer 2 · 2013-08-23 09:05:20

35

Views

Periodicity of a series of points

Published on 23 Aug 2013 - 9:05

score 111 · Answer 3 · 2013-09-02 20:43:46

111

Views

What's the Period of This Function?

Published on 02 Sep 2013 - 20:43

score 660 · Answer 4 · 2013-09-06 01:22:30

660

Views

Period of the function $\sin (8\pi \{x\})$

Published on 06 Sep 2013 - 1:22

score 1.7k · Answer 5 · 2013-09-10 16:31:01

1.7k

Views

How to prove a function is periodic?

Published on 10 Sep 2013 - 16:31

score 149 · Answer 6 · 2013-09-13 18:07:21

149

Views

Period of function $x\mapsto (f(x))^2$

Published on 13 Sep 2013 - 18:07

score 724 · Answer 7 · 2013-09-19 06:41:18

724

Views

Linear fit to wrapped / periodic data

Published on 19 Sep 2013 - 6:41

score 1.6k · Answer 8 · 2013-09-21 17:18:31

1.6k

Views

Understanding a periodic discontinuous function

Published on 21 Sep 2013 - 17:18

score 120 · Answer 9 · 2013-09-26 00:49:34

120

Views

Periodicity of a function

Published on 26 Sep 2013 - 0:49

score 235 · Answer 10 · 2013-09-26 01:30:56

235

Views

Periodic extensions and continuity

Published on 26 Sep 2013 - 1:30

score 768 · Answer 11 · 2013-09-26 17:00:46

768

Views

Minimum period of function such that $f\left(x+\frac{13}{42}\right)+f(x)=f\left(x+\frac{1}{6}\right)+f\left(x+\frac{1}{7}\right) $

Published on 26 Sep 2013 - 17:00

score 205 · Answer 12 · 2013-10-02 08:52:25

205

Views

Is this function periodic?

Published on 02 Oct 2013 - 8:52

score 225 · Answer 13 · 2013-10-07 13:42:44

225

Views

Prove the included formula relating cos(nx) and cos(x)

Published on 07 Oct 2013 - 13:42

score 177 · Answer 14 · 2013-10-09 02:26:39

177

Views

$f_1, f_2 : \mathbb{R} \rightarrow \mathbb{R}$ nonconstant, continuous, with period $1, \sqrt{2}$, respectively, then $f_1 + f_2$ is not periodic

Published on 09 Oct 2013 - 2:26

score 43 · Answer 15 · 2013-10-11 04:11:09

43

Views

What functions model this relationship?

Published on 11 Oct 2013 - 4:11

List Question

If $f$ is a continuous periodic function with irrational period and if $\sum_n\frac{|f(n)|}{n}<\infty$, then $f$ is identically zero.

Periodicity of a series of points

What's the Period of This Function?

Period of the function $\sin (8\pi \{x\})$

How to prove a function is periodic?

Period of function $x\mapsto (f(x))^2$

Linear fit to wrapped / periodic data

Understanding a periodic discontinuous function

Periodicity of a function

Periodic extensions and continuity

Minimum period of function such that $f\left(x+\frac{13}{42}\right)+f(x)=f\left(x+\frac{1}{6}\right)+f\left(x+\frac{1}{7}\right) $

Is this function periodic?

Prove the included formula relating cos(nx) and cos(x)

$f_1, f_2 : \mathbb{R} \rightarrow \mathbb{R}$ nonconstant, continuous, with period $1, \sqrt{2}$, respectively, then $f_1 + f_2$ is not periodic

What functions model this relationship?

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