List questions from function-spaces

Published on 01 Mar 2024 - 4:06

926

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How is it possible for the L² norm of f − g to measure the area between the graphs of f and g?

Published on 06 Mar 2024 - 19:35

1.4k

Views

Continuous even functions closed and dense

Published on 23 Feb 2026 - 16:54

228

Views

Prove any smooth function with compact support can be uniformly approximated by elements in the space generated by $f_a(x)=e^{iax}e^{-x^2}$.

Published on 23 Feb 2026 - 13:43

52

Views

Is the space of continuous functions compactly generated when the space is?

Published on 12 Aug 2020 - 18:11

214

Views

Inequality involving the Besov norm

Published on 20 Aug 2020 - 20:05

274

Views

Dimension of $r$-jets of maps from manifolds $M$ to $N$

Published on 09 Sep 2020 - 18:17

82

Views

The metric on the space of continuous functions

Published on 12 Sep 2020 - 1:10

49

Views

The space of all continuous real functions with compact support

Published on 14 Sep 2020 - 16:30

59

Views

Closeness of a family of functions

Published on 18 Oct 2020 - 9:58

274

Views

Show that, in $C[0,1]$, the functions with $f(\Bbb Q) \subseteq \Bbb Q$ are dense.

Published on 22 Oct 2020 - 19:33

66

Views

Problem with orthogonalizing the Laguerre polynomials

Published on 23 Feb 2026 - 12:22

581

Views

Standard Basis of Function Space $\mathbb{R}^\mathbb{R}$

Published on 29 Oct 2020 - 19:24

41

Views

Inexistence of a finite $\frac{1}{2}$-net

Published on 01 Nov 2020 - 10:34

42

Views

Do linear algebra and ring theory give any worthwhile results for spaces of continuous/differentiable functions?

Published on 02 Nov 2020 - 18:53

List Question

About the notation $C_{\to0}^0(\mathbb R^n)$

How is it possible for the L² norm of f − g to measure the area between the graphs of f and g?

Continuous even functions closed and dense

Prove any smooth function with compact support can be uniformly approximated by elements in the space generated by $f_a(x)=e^{iax}e^{-x^2}$.

Is the space of continuous functions compactly generated when the space is?

Inequality involving the Besov norm

Dimension of $r$-jets of maps from manifolds $M$ to $N$

The metric on the space of continuous functions

The space of all continuous real functions with compact support

Closeness of a family of functions

Show that, in $C[0,1]$, the functions with $f(\Bbb Q) \subseteq \Bbb Q$ are dense.

Problem with orthogonalizing the Laguerre polynomials

Standard Basis of Function Space $\mathbb{R}^\mathbb{R}$

Inexistence of a finite $\frac{1}{2}$-net

Do linear algebra and ring theory give any worthwhile results for spaces of continuous/differentiable functions?

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