THE RIESZ TRANSFORM. PART I. TENSOR FUNCTIONS

Abstract

A coordinateless account of the elements of tensor algebra and tensor calculus and a brief account of the theory of generalized differential operators on differentiable manifolds is presented. In tensor calculus coordinates may be looked upon in two different ways: first, as a description of manifolds in terms of lower dimensional ones; second, as a nonmenclature of coordinate notations. The treatment is a synthetic one whereby the relations between manifold and surrounding space are emphasized rather than ignored. Proofs, when given, are simply outlined and become more explicit as the subject matter is developed.

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1961
Accession Number
AD0263227

Entities

People

  • Eduardo H. Zarantonello

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Calculus
  • Mathematical Analysis
  • Mathematics
  • Notation
  • Sequences

Readers

  • Graph Algorithms and Convex Optimization.
  • Linear Algebra
  • Systems Analysis and Design

Technology Areas

  • Space