GENERALIZED FUNCTIONS: PART I. REPRESENTATION THEOREMS FOR SOME STANDARD FUNCTION SPACES - AN INTRODUCTION TO FUNCTIONAL ANALYSIS.

Abstract

The first part of the paper is devoted to the functional analysis necessary to study distributions. The distributions and applications of Fourier and Laplace transforms are dealt with comprehensively. An outline is given of research areas in distribution theory. Part three contains the theory of vector valued distributions from the point of view of nuclear spaces and topological tensor products.

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1966
Accession Number
AD0648383

Entities

People

  • John Benedetto

Organizations

  • University of Maryland

Tags

DTIC Thesaurus Topics

  • Data Science
  • Distribution Theory
  • Functional Analysis
  • Information Science
  • Mathematical Analysis
  • Mathematics
  • Standards
  • Theorems

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Linear Algebra
  • Theoretical Analysis.

Technology Areas

  • Space