Accession Number : AD0671603

Title :   DIFFERENTIOIDS.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Zarantonello,Eduardo H.

Report Date : AUG 1967

Pagination or Media Count : 174

Abstract : A differentioid is the sum of a differential operator with C(superscript infinity symbol)-coefficients and an integral operator with a kernel that, up to terms of arbitrary degree of smoothness, is a finite sum of the form Summation F(x,y)/ /xy/ raised to the power alpha (F(x,y) epsilon C(superscript infinity symbol, / /=geodesic distance). Differentioids form a graded algebra endowed with a symbol; they coincide with the operators admitting asymptotic expansions in terms of multipliers and powers of the basic differential operators. (Author)

Descriptors :   (*OPERATORS(MATHEMATICS), ALGEBRAIC TOPOLOGY), TENSOR ANALYSIS, MAPPING(TRANSFORMATIONS), ANALYTIC FUNCTIONS, POTENTIAL THEORY, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE