Cover Image

Subspaces of $L^2(\mathbb{R}^n)$ Invariant Under Shifts by a Crystal Group

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Potter, Tom, Taylor, Keith
Format:	Preprint
Published:	2026
Subjects:	Functional Analysis
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Subspaces of $L^2(\mathbb{R}^n)$ Invariant Under Crystallographic Shifts
by: Potter, Tom
Published: (2025)

Refuting a Recent Proof of the Invariant Subspace Problem
by: Ghatasheh, Ahmed
Published: (2024)

Intrinsic Ultracontractivity for a class of Schroedinger Semigroups in $L^{2}(\mathbb{R}^{n})$ by Logarithmic Sobolev inequalities
by: Schwerdt, Christoph, et al.
Published: (2026)

The Structure of Isoperimetric Bubbles on $\mathbb{R}^n$ and $\mathbb{S}^n$
by: Milman, Emanuel, et al.
Published: (2022)

Operations that are incompatible with certain systems of translates in $L^2(\mathbb{R})$
by: Yu, Pu-Ting
Published: (2025)

A view from above on $\text{JN}_p(\mathbb{R}^n)$
by: Shaabani, Shahaboddin
Published: (2025)

The property $\log(f) \in BMO(\mathbb R^n)$ in terms of Riesz transforms
by: Vasilyev, Ioann
Published: (2024)

Invariant Means on $VN^n(G)$
by: Wadhawan, Kanupriya, et al.
Published: (2026)

Improved universal approximation with neural networks studied via affine-invariant subspaces of $L_2(\mathbb{R}^n)$
by: Schneider, Cornelia, et al.
Published: (2025)

Geometry of homogeneous polynomials in ${\mathbb R}^2$
by: García, Domingo, et al.
Published: (2024)

Complete Nevanlinna-Pick property of $\mathbb K$-Invariant Reproducing Kernels
by: Engliš, Miroslav, et al.
Published: (2026)

A Complete Solution of Optimal Hypercontractivity and Log--Sobolev inequalities on Cyclic Groups $\mathbb{Z}_{n}$ for $n\geq 4$
by: Yao, Gan
Published: (2026)

Hankel operators on $L^p(\mathbb{R}_+)$ and their $p$-completely bounded multipliers
by: Arnold, Loris, et al.
Published: (2023)

Intrinsic Ultracontractivity for a class of Schroedinger Semigroups in $\mathrm{L}^{2}\left( \mathbb{R}^{n} \right)$ using Log-Sobolev-inequalities and duality arguments
by: Schwerdt, Christoph, et al.
Published: (2026)

Linear Operators $T:\mathbb{R}[x_1,\dots,x_n]\to\mathbb{R}[x_1,\dots,x_n]$ and $K$-Positivity Preserver: A Short Review
by: di Dio, Philipp J.
Published: (2026)

Explicit Formulas for the One-Parameter Group Generated by the Dunkl Operator on $\mathbb{R}$
by: Aoyama, Temma
Published: (2026)

A Constructive Approach for Building Wavelet Bases in \( L^2(\mathbb{R}^d, \mathbb{R}^m) \) with Optimal Properties
by: Tarif, Hicham, et al.
Published: (2025)

On the Trace of $\dot{W}_{a}^{m+1,1}(\mathbb{R}_{+}^{n+1})$
by: Leoni, Giovanni, et al.
Published: (2024)

A remark on dilation-and-modulation frames for $L^2(\mathbb{R}_+)$
by: Lemvig, Jakob
Published: (2019)

The essential adjointness of pseudo-differential operators on $\mathbb{Z}^n$
by: Milatovic, Ognjen
Published: (2022)

The Li-Lin's open problem on $\mathbb{R}^N$
by: Tang, Zhi-Yun, et al.
Published: (2025)

Spectrality and supports of infinite convolutions in $\mathbb{R}^d$
by: Li, Yao-Qiang
Published: (2024)

Invariant Subspaces and the $C_{00}$-Property of $3$-Brownian Shifts
by: Nailwal, Rajkamal
Published: (2026)

$\mathbb R$- and $\mathbb C$-supercyclicity for some classes of operators
by: D'Aniello, Emma, et al.
Published: (2024)

Absolutely Summing Toeplitz operators on Bergman spaces in the unit ball of $\mathbb{C}^n$
by: Hu, Zhangjian, et al.
Published: (2025)

Empirical approximation of the gaussian distribution in $\mathbb{R}^d$
by: Bartl, Daniel, et al.
Published: (2023)

A class of spectral measures with $m$-alternate contraction ratios in $\mathbb{R}$
by: Liu, Jing-cheng, et al.
Published: (2025)

A note on the Muckenhoupt class $A_1(\mathbb{R})$
by: Nikolidakis, Eleftherios N., et al.
Published: (2025)

Recent perspectives on the Invariant Subspace Problem
by: Chalendar, I., et al.
Published: (2025)

Subspaces of $\ell_1$ satisfying Grothendieck's theorem
by: Suárez, Jesús
Published: (2025)

Complements of Non-Minimal Subspaces: Characterization Results
by: Ribeiro, Geivison
Published: (2024)

Twisted shift preserving operators on $L^{2}(\mathbb{R}^{2n})$
by: Velsamy, Rabeetha, et al.
Published: (2023)

Hardy Subspaces with Sparse Fourier Spectrum and Muntz Space
by: Zikkos, Elias
Published: (2026)

Une caractérisation de $\mathbb{B}_{\mathrm{dR}}^+$ et $\mathcal{O}\mathbb{B}_{\mathrm{dR}}^+$
by: Colmez, Pierre
Published: (2025)

The Spectral Flow of a Restriction to a Subspace and the Maslov Indices in a Symplectic Reduction
by: Vitório, Henrique
Published: (2024)

Littlewood-Paley square functions and the local Hardy space for Multi-Norm Structures on $\mathbb{R}^{d}$
by: Hejna, Agnieszka, et al.
Published: (2025)

Rational Orthonormal Littlewood-Paley Wavelet Basis of L2(R)
by: Sun, Changping
Published: (2025)

Complex interpolation of $\mathbb{R}$-norms, duality and foliations
by: Berndtsson, Bo, et al.
Published: (2016)

Invariant classes for families of complexes
by: Levin, D., et al.
Published: (2024)

Invariant strictly convex renormings
by: Doucha, Michal
Published: (2025)