• Corpus ID: 17131500

Harmonic Analysis and Localization Technique

  title={Harmonic Analysis and Localization Technique},
  author={Vladimir V. Kisil},
  journal={arXiv: Operator Algebras},
  • V. Kisil
  • Published 2 February 1999
  • Mathematics
  • arXiv: Operator Algebras
We study relationships between different formulations of the local principle. Also we establish a connection among the local principle and the non-commutative Fourier transform approach to the investigation of convolution operator algebras. Keywords: Sectional Representations, Local Principle, Fourier Transform, Convolution Algebras. 
Cross-Toeplitz Operators on the Fock--Segal--Bargmann Spaces and Two-Sided Convolutions on the Heisenberg Group
We introduce an extended class of cross-Toeplitz operators which act between Fock–Segal–Bargmann spaces with different weights. It is natural to consider these operators in the framework of


Representations of algebras by continuous sections
This survey is concerned with the representation of discrete rings and topological algebras (such as C*-algebras) by rings of continuous sections in sheaves of rings or fields of topological algebras.
Elements of the theory of representations
First Part. Preliminary Facts.- 1. Sets, Categories, Topology.- 1.1. Sets.- 1.2. Categories and Functors.- 1.3. The Elements of Topology.- 2. Groups and Homogeneous Spaces.- 2.1. Transformation
Characteristic bisingular equations in spaces of summable functions
  • Harmonic Analysis and Localization Technique
  • 1974
Integral representation and coherent states
  • Bull. Belg. Math. Soc. Simon Stevin
  • 1995
Noncommutative Harmonic Analysis, volume 22 of Math. Surv. and Monographs
  • Providence, R.I
  • 1986