Accession Number:

AD0671603

Title:

DIFFERENTIOIDS.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1967-08-01

Pagination or Media Count:

174.0

Abstract:

A differentioid is the sum of a differential operator with Csuperscript 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 Fx,y xy raised to the power alpha Fx,y epsilon Csuperscript 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

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE