THE ANALYTICITY OF SOLUTIONS OF SINGULAR INTEGRAL EQUATIONS.

Abstract

The author studies the analyticity properties of solutions of the equation g = Kf where K is a singular integral operator of the Calderon-Zygmund type with g and f in L sub p. Assuming that g and K are locally analytic in a suitable sense and that the symbol of the operator K is locally not equal to 0, any solution of the equation g = Kf is shown to be locally analytic. This generalizes the well-known result that solutions of linear analytic elliptic partial differential equations are themselves analytic. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1968
Accession Number
AD0673550

Entities

People

  • Charles S. Kahane

Organizations

  • University of Minnesota

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Equations
  • Integral Equations
  • Integrals
  • Mathematical Analysis
  • Partial Differential Equations

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Fluid Dynamics.
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.