
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