Published August 1977 | Version v1
Report Open

Positive-definite functions and unitary representations of locally compact groups in a Hilbert space

  • 1. International Centre for Theoretical Physics, Trieste (Italy)
  • 2. Al-Azhar Univ., Cairo (Egypt)

Description

It is proved that the necessary and sufficient condition for the existence of an integral representation of a group of unitary operators in a Hilbert space is that it is positive-definite and continuous in some topology

Availability note (English)

MF available from INIS under the Report Number.

Files

9415169.pdf

Files (113.0 kB)

Name Size Download all
md5:ab147740cd1615df0be250f6fb6359b1
113.0 kB Preview Download

Additional details

Publishing Information

Imprint Pagination
7 p.
Report number
IC--77-85

INIS

Country of Publication
Italy
Country of Input or Organization
Italy
INIS RN
9415169
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
FUNCTIONS; HILBERT SPACE; MATHEMATICAL OPERATORS; TOPOLOGY; UNITARITY; UNITARY SYMMETRY
Descriptors DEC
BANACH SPACE; MATHEMATICAL SPACE; MATHEMATICS; SPACE; SYMMETRY