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Isaac
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question
29
How do we give mathematical meaning to 'physical dimensions'?
Aug 25, 2021
question
17
Evaluating the sum $f(x):=\sum_{n=1}^\infty \frac{1}{n! n^n}(-x^2)^n$ and estimating bounds
Jan 17, 2023
question
13
Making sense of the formula $\operatorname{Det} (I+M )= e^{\operatorname{Tr} \ln (I+M)}$, especially in the infinite dimensional cases
Nov 10, 2021
question
11
Identification of $C^\infty(S^n)$ with a function space on $\mathbb{R}^n$
Mar 21
question
10
Defining the multiplication of distributions in the context of QFT : Colombeau algebra vs Regularity structure?
Apr 26, 2023
question
10
Extracting a common convergent indexing from an uncountable family of sequences
Dec 10, 2023
question
9
Is there a nonpolynomial $C^\infty$ function $f$ such that $\sup_{x \in \mathbb{R}} \lvert f^{(q)}(x) \rvert \leq (\ln q)^{-q}$ for every $q >1$?
Jan 17, 2023
question
7
Functional calculus on the Schwartz space instead of $L^2$?
Jul 7, 2024
question
7
Intermediate spaces of test functions between $\mathcal{S}$ and $\mathcal{D}$?
May 24, 2024
question
7
How should I understand the "$C^\infty$ functions" whose domain is the dual of $C^\infty(\mathbb{R}^n)$?
Aug 25, 2022

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23
Weak convergence in probability implies uniform convergence in distribution functions
14
Question about 'inner measure equals outer measure $\iff$ measurable set'
12
Prove that an infinite sigma algebra contains an infinite sequence of disjoint sets and is uncountable
12
If $u \notin L^p[0,1]$, can we find some $w \in L^{\frac{p}{p-1}}[0,1]$ such that $\int_0^1 u \cdot w = \infty$?
11
Showing that the composition of maps of constant rank does not have to be of constant rank