Accession Number : AD0621239

Title :   PROPERTIES OF COMPLETE ORTHONORMAL SYSTEMS ON MATRIX SPACES.

Descriptive Note : Doctoral thesis,

Corporate Author : PENNSYLVANIA STATE UNIV UNIVERSITY PARK

Personal Author(s) : Tung,Shih-Hsiung

Report Date : SEP 1962

Pagination or Media Count : 70

Abstract : In this paper properties of complete orthonormal systems on the domain D in the 2 x 2 and n x n cases were studied. The domain D is one of four main types of irreducible bounded symmetric domains given by E. Cartan. The discussion includes inequalities for polynomials on matrix spaces, equisummability of real complete orthonormal systems on the unitary group of order 2, and Harnack's theorems on matrix spaces.

Descriptors :   (*MATRICES(MATHEMATICS), COMPLEX VARIABLES), INEQUALITIES, POLYNOMIALS, FOURIER ANALYSIS, SERIES(MATHEMATICS), POTENTIAL THEORY, BOUNDARY VALUE PROBLEMS, THEOREMS

Distribution Statement : APPROVED FOR PUBLIC RELEASE