Accession Number : AD0263227

Title :   THE RIESZ TRANSFORM. PART I. TENSOR FUNCTIONS

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : ZARANTONELLO,EDUARDO H.

Report Date : JUN 1961

Pagination or Media Count : 1

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.

Descriptors :   *FUNCTIONS(MATHEMATICS), *INTEGRAL TRANSFORMS, *MATHEMATICAL ANALYSIS, *TENSOR ANALYSIS, ALGEBRA, GEOMETRY, INTEGRALS, PARTIAL DIFFERENTIAL EQUATIONS

Distribution Statement : APPROVED FOR PUBLIC RELEASE