Accession Number:

AD0648383

Title:

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

Descriptive Note:

Technical note,

Corporate Author:

MARYLAND UNIV COLLEGE PARK INST FOR FLUID DYNAMICS AND APPLIED MATHEMATICS

Personal Author(s):

• Benedetto,John J.

Report Date:

1966-02-01

Pagination or Media Count:

383.0

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.

Descriptors:

• (*THEOREMS
• *FUNCTIONAL ANALYSIS)
• DISTRIBUTION THEORY
• INTEGRAL TRANSFORMS
• TOPOLOGY
• VECTOR SPACES
• MEASURE THEORY

Subject Categories:

• Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE