Conformal Mappings and Boundary Value Problems.

Abstract

Three principal areas of investigation are as follows; (1) Kernel functions and related areas, Results have been obtained on polynomial density in Ber's Spaces, Berman Spaces over multiply-connected domains, Total Positively and reproducing kernels, Szego kernels and the Riesz projection theorem and Metric on Annuli; (2) BVP (Boundary Value Problems), and IVP (Initial Value Problems), Study has been undertaken of transforming BVP into IVP. In particular, a method whereby a well-posed elliptic boundary-value problem of the Dirichlet type is transformed into a first-order non-linear equation governing the Green's function of an embedded problem is studied; and (3) Singularities, The study of smoothings of analytic singularities is discussed. In particular, generalized complete intersections and their spaces of deformations are analyzed.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1976
Accession Number
ADA036084

Entities

People

  • A. Ghandour
  • J. Burbea
  • R. Mandelbaum

Organizations

  • Tel Aviv University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Analytic Functions
  • Boundaries
  • Boundary Value Problems
  • Cartography
  • Coefficients
  • Conformal Mapping
  • Continents
  • Curvature
  • Distortion
  • Equations
  • Kernel Functions
  • Maps
  • New York
  • Polynomials
  • Sequences
  • United States

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Linear Algebra

Technology Areas

  • Space