Results 21 to 30 of about 679 (54)

Holomorphic harmonic analysis on complex reductive groups

, 2007
We define the holomorphic Fourier transform of holomorphic functions on complex reductive groups, prove some properties like the Fourier inversion formula, and give some applications.
An, Jinpeng, Qian, Min, Wang, Zhengdong
core   +1 more source

Uniform boundedness and compactness for the commutator of an extension of Riesz transform on stratified Lie groups

Advances in Nonlinear Analysis
Let G{\mathcal{G}} be a stratified Lie group, and let {Xj}1≤j≤n1{\left\{{X}_{j}\right\}}_{1\le j\le {n}_{1}} be a basis of the left-invariant vector fields of degree one on G{\mathcal{G}} and Δ=−∑j=1n1Xj2\Delta =-{\sum }_{j=1}^{{n}_{1}}{X}_{j}^{2} be the
Han Xueting, Chen Yanping
doaj   +1 more source

Spherical Spectral Synthesis and Two-Radius Theorems on Damek-Ricci Spaces

, 2008
We prove that spherical spectral analysis and synthesis hold in Damek-Ricci spaces and derive two-radius ...
A. Wawrzyńczyk, C. A. Berenstein, C. A. Berenstein, C. A. Berenstein, E. Damek, Evangelia Samiou, F. Rouvière, F. Trèves, J. Heber, J.-P. Anker, L. A. Caffarelli, L. Brown, L. Ehrenpreis, L. Schwartz, L. Zalcman, M. Flensted-Jensen, N. Peyerimhoff, Norbert Peyerimhoff, S. A. Williams, S. C. Bagchi, S. Helgason, S. T. Yau, T. H. Koornwinder, T. Kobayashi, W. F. Donoghue   +24 more
core   +1 more source

Heat maximal function on a Lie group of exponential growth

, 2011
Let G be the Lie group R^2\rtimes R^+ endowed with the Riemannian symmetric space structure. Let X_0, X_1, X_2 be a distinguished basis of left-invariant vector fields of the Lie algebra of G and define the Laplacian \Delta=-(X_0^2+X_1^2+X_2^2).
Sjögren, Peter, Vallarino, Maria
core   +1 more source

On the Analytic Structure of Commutative Nilmanifolds [PDF]

, 2014
In the classification theorems of Vinberg and Yakimova for commutative nilmanifolds, the relevant nilpotent groups have a very surprising analytic property.
Wolf, Joseph A.
core  

Fourier multipliers in Hilbert spaces [PDF]

, 2017
This is a survey on a notion of invariant operators, or Fourier multipliers on Hilbert spaces. This concept is defined with respect to a fixed partition of the space into a direct sum of finite dimensional subspaces.
Delgado, Julio, Ruzhansky, Michael
core   +1 more source

Dispersive estimates and NLS on product manifolds

, 2010
We prove a general dispersive estimate for a Schroedinger type equation on a product manifold, under the assumption that the equation restricted to each factor satisfies suitable dispersive estimates.
Pierfelice, Vittoria
core  

Adaptive Laboratory Evolution Restores Solvent Tolerance in Plasmid-Cured Pseudomonas putida S12: a Molecular Analysis. [PDF]

Appl Environ Microbiol, 2021
Kusumawardhani H, Furtwängler B, Blommestijn M, Kaltenytė A, van der Poel J, Kolk J, Hosseini R, de Winde JH.   +7 more
europepmc   +1 more source

Matrix Whittaker processes. [PDF]

Probab Theory Relat Fields, 2023
Arista J, Bisi E, O'Connell N.
europepmc   +1 more source

Polynomial and horizontally polynomial functions on Lie groups. [PDF]

Ann Mat Pura Appl, 2022
Antonelli G, Le Donne E.
europepmc   +1 more source