Accession Number : AD0712127
Title : PASSIVE SYSTEMS, DISSIPATIVE OPERATORS, AND THE THEORY OF DISTRIBUTIONS.
Descriptive Note : Final scientific rept., 1 Jul 67-31 Aug 70,
Corporate Author : STATE UNIV OF NEW YORK STONY BROOK DEPT OF APPLIED MATHEMATICS
Personal Author(s) : Beltrami,Edward J.
Report Date : SEP 1970
Pagination or Media Count : 20
Abstract : The report describes research involving passive evolution equations where, for example, it is shown that passitivity, positivity of the resolvent, and maximal dissipativeness are all equivalent. Further, some classical theorems of Hille-Yosida and Phillips concerning contraction semi-groups are strengthened, where results obtained tie together some of the classical theory of semi-groups with that of passive systems. (Author)
Descriptors : (*S MATRIX, MEROMORPHIC FUNCTIONS), (*HILBERT SPACE, OPERATORS(MATHEMATICS)), DISTRIBUTION THEORY, GROUPS(MATHEMATICS), REPORTS
Subject Categories : Statistics and Probability
Distribution Statement : APPROVED FOR PUBLIC RELEASE