Tootfinder

On the classification of $C^*$-algebras of twisted isometries with finite dimensional wandering spaces
Shreema Subhash Bhatt, Surajit Biswas, Bipul Saurabh
https://arxiv.org/abs/2506.15824

On the classification of $C^*$-algebras of twisted isometries with finite dimensional wandering spaces
Let \( m, n \in \mathbb{N}_0 \), and let \( X \) be a closed subset of \( \mathbb{T}^{\binom{m+n}{2}} \). We define \( C^{m,n}_X \) to be the universal \( C^* \)-algebra among those generated by \( m \) unitaries and \( n \) isometries satisfying doubly twisted commutation relations with respect to a twist \( \mathcal{U} = \{U_{ij}\}_{1 \leq i < j \leq m+n} \) of commuting unitaries having joint spectrum \( X \). We provide a complete list of the irreducible representations of \( C^{m,n}_X \)…

Stein's theorem in the upper-half plane and Bergman spaces with weights
Aline Bonami (UO, IDP), Sandrine Grellier (UO, IDP), Beno\^it Sehba
https://arxiv.org/abs/2506.18377

Stein's theorem in the upper-half plane and Bergman spaces with weights
This is a companion paper to our previous one, Avatars of Stein's Theorem in the complex setting. In this previous paper, we gave a sufficient condition for an integrable function in the upper-half plane to have an integrable Bergman projection. Here we push forward methods and establish in particular a converse statement. This naturally leads us to study a family of weighted Bergman spaces for logarithmic weights (1 + ln + (1/___m(z)) + ln + (|z|)) k , which have the same kind of beh…

Vector valued weighted analogue of converse of Wiener-L\'evy theorem and applications to modulation spaces
Divyang G. Bhimani, Karishman B. Solanki
https://arxiv.org/abs/2507.16516

Vector valued weighted analogue of converse of Wiener-Lévy theorem and applications to modulation spaces
We shall prove a strong converse of the Wiener-Lévy theorem in weighted setting for Banach algebra valued functions. In fact, it is shown that if $ω$ is a weight on a discrete abelian group $G$, $\mathcal X$ is a unital commutative Banach algebra and if $F$ is a $\mathcal X-$valued function defined on $\mathbb C$ such that $T_F(f)=F\circ f \in A^q(Γ,\mathcal X)$ for all $f\in A^1_ω(Γ,\mathcal X)$, then $F$ must be real analytic. Its multivariate analogue and analogue for locally compact ab…

Fibring structures of ideals in Roe algebras and their $K$-theories
Zhijie Wang, Benyin Fu, Jiawen Zhang
https://arxiv.org/abs/2507.17105 https://

Fibring structures of ideals in Roe algebras and their $K$-theories
In this paper, we investigate the ideal structure of Roe algebras for metric spaces beyond the scope of Yu's property A. Using the tool of rank distributions, we establish fibring structures for the lattice of ideals in Roe algebras and draw the border of each fibre by introducing the so-called ghostly ideals together with geometric ideals. We also provide coarse geometric criteria to ensure the coincidence of geometric and ghostly ideals and calculate their $K$-theories, which can be helpful t…

Pointwise convergence to initial data of heat and Poisson equations in Modulation Spaces
Divyang G. Bhimani, Rupak K. Dalai
https://arxiv.org/abs/2507.13220

Pointwise convergence to initial data of heat and Poisson equations in Modulation Spaces
We characterize weighted modulation spaces (data space) for which the heat semigroup $e^{-tL}f$ converges pointwise to the initial data $f$ as time $t$ tends to zero. Here $L$ stands for the standard Laplacian $-Δ$ or Hermite operator $H=-Δ+|x|^2$ on the whole domain. Similar result also holds for Poisson semigroup $e^{-t\sqrt{L}}f.$ We also prove that the Hardy-Littlewood maximal operator operates on certain modulation spaces. This may be of independent interest.

Skończyłem czytać Szpony i kły. Mogę z czystym sercem polecić choć nie jest to oficjalna książka z serii #Wiedźmin Sapkowskiego. 11 czy 12 opowiadań i chyba wszystkie mi się podobały 😉 Chyba po prostu jestem niepoprawnym fanem uniwersum i lubię zanurzać się w tym świecie.

Replaced article(s) found for math.CA. https://arxiv.org/list/math.CA/new
[1/1]:
- Global Stein Theorem on Hardy spaces
Aline Bonami (IDP), Sandrine Grellier (IDP), Benoit Sehba

Highly accurate simulations of asymmetric black-hole scattering and cross validation of effective-one-body models
Oliver Long, Harald P. Pfeiffer, Alessandra Buonanno, Gustav Uhre Jakobsen, Gustav Mogull, Antoni Ramos-Buades, Hannes R. R\"uter, Lawrence E. Kidder, Mark A. Scheel
https://arxiv.org/abs/2507.08071

Highly accurate simulations of asymmetric black-hole scattering and cross validation of effective-one-body models
The study of unbound binary-black-hole encounters provides a gauge-invariant approach to exploring strong-field gravitational interactions in two-body systems, which can subsequently inform waveform models for bound orbits. In this work, we present 60 new highly accurate numerical relativity (NR) simulations of black-hole scattering, generated using the Spectral Einstein Code (SpEC). Our simulations include 14 spin-aligned configurations, as well as 16 configurations with unequal masses, up to …