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Cartesian Bear
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5
What can semigroup theory do better in the study of PDEs compared to alternative methods?
Apr 8
5
If $S=(X, \mathcal{F})$ is a measurable space, $\mu,\nu$ two measure on S s.t. $\nu\ll\mu$, are all $\mu$-measurable functions also $\nu$-measurable?
Oct 27, 2023
5
Proving $\mu=\nu$ or $\mu\perp\nu$ if $\mu,\nu$ are two ergodic probability measures on $(X,B)$ with dynamics $T$ without Birkhoff's Ergodic Theorem
Jun 26, 2023
5
Source and/or detailed proof for $\exp(\lambda (A + B)) = \exp(\lambda A)\exp(\lambda B)$ for commuting elements in a Banach algebra
Apr 27, 2023
4
Is it true that $\limsup_{n\to\infty}(\sup_{x\in B}f_n(x))\leq\sup_{x\in B}(\lim\sup_{n\to\infty}f_n(x))$?
Dec 27, 2022
4
Question on showing that $\frac{1}{n}\sum_{k=0}^{n-1}U^kf$ converges in norm to the orthogonal projection $Pf$ to the space $\{f\in H: Uf = f\}$
Mar 21, 2023
3
Why is $\frac{\partial^2 f}{\partial x\partial x}$ equal to $\frac{\partial^2 f}{\partial x^2}$ and not $\frac{\partial^2 f}{(\partial x)^2}$?
Sep 7, 2022
3
When does a sparse failing subsequence of $(a_n)_n\subset\mathbb{R}_{>0}$ exist when $\lim_{n\to\infty}\frac{1}{n}\sum_{j=1}^na_j = c$ exists
Apr 16
3
Palka, An Introduction to Complex Analysis pp. 97-98, drawing a connection between differentiability in the real sense and complex differentiability
Sep 1, 2022
3
Why is the volume of a parallelogram $P$ formed from the unit square $I^2$ with an integer matrix $A$ equal to the number of integer points in $P$?
Aug 19, 2022