THE RIESZ TRANSFORM. PART II. POTENTIAL OPERATORS

Abstract

A mathematical analysis is made by use of the Riesz transform in which potential operators are integral operators whose kernels can be made differentiable by subtracting finite sums of products of integer powers of the distance with infinitely differentiable kernels. The most interesting property of these operators is one which asserts that the product of any number of potential operators is in essence, a potential operator. Several theorems and proofs are presented.

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1961
Accession Number
AD0263228

Entities

People

  • Eduardo H. Zarantonello

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Computing-Related Activities
  • Data Science
  • Information Science
  • Integrals
  • Interdisciplinary Science
  • Mathematical Analysis
  • Mathematics
  • Sequences (Mathematics)
  • Sequential Analysis
  • Statistical Analysis

Fields of Study

  • Mathematics

Readers

  • Statistical inference.
  • Team-Based Human-Centered Cognitive Task Decision Making and Information Performance.