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