DIFFERENTIOIDS.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1967
- Accession Number
- AD0671603
Entities
People
- Eduardo H. Zarantonello
Organizations
- University of Wisconsin–Madison