Cover Image

Strong factorization theorem for smooth vectors of exponential solvable Lie group representations

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Chaves, Santiago, Debrouwere, Andreas, Alvarado, Alberto Hernández, Vindas, Jasson, Zamora, Rafael
Format:	Preprint
Published:	2026
Subjects:	Representation Theory Functional Analysis Primary. 22E45, 46E25. Secondary. 42A85, 43A65, 46E40
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Strong factorization of ultradifferentiable vectors associated with compact Lie group representations
by: Debrouwere, Andreas, et al.
Published: (2024)

Quasinormability and property $(Ω)$ for spaces of smooth and ultradifferentiable vectors associated with Lie group representations
by: Debrouwere, Andreas, et al.
Published: (2024)

On Harish-Chandra's Plancherel theorem for Riemannian symmetric spaces
by: Krötz, Bernhard, et al.
Published: (2024)

The Schwartz space for the $ (k, a) $-generalized Fourier transform and the minimal representation of the conformal group
by: Hikawa, Tatsuro
Published: (2026)

Algebraic and analytic properties of invariant differential operators on a homogeneous space of complexity $1$
by: Fang, Hanlong, et al.
Published: (2023)

The holomorphic discrete series contribution to the generalized Whittaker Plancherel formula II. Non-tube type groups
by: Frahm, Jan, et al.
Published: (2024)

Uniform temperedness of Whittaker integrals for a real reductive group
by: Ban, E. P. van den
Published: (2023)

Maass-Selberg relations for Whittaker functions on a real reductive group
by: Ban, Erik P. van den
Published: (2025)

The holomorphic discrete series contribution to the generalized Whittaker Plancherel formula
by: Frahm, Jan, et al.
Published: (2022)

Holographic operators for the tensor products of the spaces of holomorphic functions on Hermitian symmetric spaces of tube type
by: Nakahama, Ryosuke
Published: (2026)

Conformally invariant differential operators on Heisenberg groups and minimal representations
by: Frahm, Jan
Published: (2020)

Exceptional theta correspondences via Plancherel formulas for rank one symmetric spaces
by: Frahm, Jan, et al.
Published: (2026)

Sequence space representations of Beurling-Björck spaces via Gabor frames and Wilson bases
by: Debrouwere, Andreas, et al.
Published: (2025)

Cartan motion groups: regularity of K-finite matrix coefficients
by: Dumas, Guillaume
Published: (2025)

Sobolev spaces of vector-valued functions on compact groups
by: Mensah, Yaogan
Published: (2024)

Regularity of K-finite matrix coefficients of semisimple Lie groups
by: Dumas, Guillaume
Published: (2024)

Special unipotent representations of real classical groups: construction and unitarity
by: Barbasch, Dan, et al.
Published: (2017)

$(k, a)$-generalized Fourier transform with negative $a$
by: Hikawa, Tatsuro
Published: (2024)

Holomorphic Laplacian on the Lie ball and the Penrose transform
by: Sekiguchi, Hideko
Published: (2024)

The vector-valued Stieltjes moment problem with general exponents
by: Debrouwere, Andreas, et al.
Published: (2023)

Bourgain-uo sequential completeness in vector lattices
by: Kania, Tomasz, et al.
Published: (2025)

Particle systems, Dipoles and Besov spaces of distributions
by: Marra, Mateus, et al.
Published: (2024)

A universal approximation theorem and its applications to vector lattice theory
by: Bilokopytov, Eugene, et al.
Published: (2025)

On the operator-valued Fourier transform of the Harish-Chandra Schwartz Algebra
by: Oyadare, Olufemi O.
Published: (2024)

On the inclusion relations between Gelfand-Shilov spaces
by: Debrouwere, Andreas, et al.
Published: (2024)

Mathieu's approach to the Jacobian Conjecture
by: Zwart, Kevin
Published: (2025)

Operator-valued Fourier multipliers of bounded s-variation
by: Deng, Chenxi, et al.
Published: (2026)

Hermite expansions for spaces of functions with nearly optimal time-frequency decay
by: Neyt, Lenny, et al.
Published: (2024)

A linear topological invariant for weighted spaces of holomorphic functions
by: Debrouwere, Andreas, et al.
Published: (2025)

Lectures on local theta correspondence
by: Zhu, Chen-Bo
Published: (2025)

Spectral multipliers on two-step stratified Lie groups with degenerate group structure
by: Niedorf, Lars
Published: (2025)

Hardy-Sobolev-Rellich, Hardy-Littlewood-Sobolev and Caffarelli-Kohn-Nirenberg inequalities on general Lie groups
by: Ruzhansky, Michael, et al.
Published: (2018)

Construction and classification of differential symmetry breaking operators for principal series representations of the pair $(SO_0(4,1), SO_0(3,1))$ for special parameters
by: Pérez-Valdés, Víctor
Published: (2025)

Transfer of characters for discrete series representations of the unitary groups in the equal rank case via the Cauchy-Harish-Chandra integral
by: Merino, Allan
Published: (2021)

Certain Weighted $L^p$-improving estimates for the totally-geodesic $k$-plane transform on simply connected spaces of constant curvature
by: Deshmukh, Aniruddha, et al.
Published: (2025)

Branching laws for Stein's complementary series and Speh representations of $\operatorname{GL}(2n,\mathbb{R})$
by: Ditlevsen, Jonathan, et al.
Published: (2025)

Local noncommutative De Leeuw Theorems beyond reductive Lie groups
by: Janssens, Bas, et al.
Published: (2025)

On $L^1$-$L^2$ dichotomy for flat symmetric spaces
by: Gupta, Sanjeev Kumar, et al.
Published: (2024)

Properties of local orthonormal systems, Part III: Variation spaces
by: Gulgowski, Jacek, et al.
Published: (2023)

Manifolds of continuous BV-functions and vector measure regularity of Banach-Lie groups
by: Glockner, Helge, et al.
Published: (2024)