NONEXISTENCE OF A CONTINUOUS RIGHT INVERSE FOR SURJECTIVE LINEAR PARTIAL DIFFERENTIAL OPERATORS ON THE SPACES (Gamma sup delta)(Omega).

Abstract

The author proves a nonimbeddability result for the Fourier transform operator on the spaces ((gamma sub C)sup delta) (O, b), and uses it to show the nonexistence of a continuous right inverse for certain surjective linear partial differential operators P(D) on the spaces (gamma sup delta) (Omega), where Omega is a P(D)-convex open set. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1970
Accession Number
AD0709952

Entities

People

  • David K. Cohoon

Organizations

  • University of Wisconsin–Madison

Tags

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Linear Algebra

Technology Areas

  • Space