Accession Number : AD0668143

Title :   BOUNDS FOR EIGENVALUES OF AN INTEGRAL OPERATOR.

Descriptive Note : Technical rept.,

Corporate Author : JOHNS HOPKINS UNIV SILVER SPRING MD APPLIED PHYSICS LAB

Personal Author(s) : Stadter,J. T.

Report Date : FEB 1968

Pagination or Media Count : 17

Abstract : The report illustrates the application of the method of intermediate problems for estimating the eigenvalues of integral operators. The method yields upper bounds to the positive eigenvalues of integral operators; lower bounds are obtained using the Rayleigh-Ritz procedure. Close bounds are given for eigenvalues of the operator with symmetric kernel K(x,y) = summation from i,j = 1 to i,j = infinity, of the quantity (sin ix sin jy/(i to the 4th power + j to the 4th power)). (Author)

Descriptors :   (*OPERATORS(MATHEMATICS), INTEGRALS), FOURIER ANALYSIS, VECTOR SPACES, FUNCTIONS(MATHEMATICS), SERIES(MATHEMATICS)

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE