Spectral Multipliers for Schrodinger Operators: 1

Abstract

We prove a sharp Mihlin-Hormander multiplier theorem for Schrodinger operators H on Rn. The method, which allows us to deal with general potentials, improves Hebisch's method relying on heat kernel estimates for positive potentials [22, 12].

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Document Details

Document Type
Technical Report
Publication Date
Jan 18, 2007
Accession Number
ADA633514

Entities

People

  • Shijun Zheng

Organizations

  • University of South Carolina

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Applied Mathematics
  • Eigenvalues
  • Energy
  • Equations
  • Formulas (Mathematics)
  • Functional Analysis
  • Harmonic Analysis
  • High Energy
  • Inequalities
  • Integral Equations
  • Integrals
  • Mathematics
  • Real Variables
  • Resonance
  • Scattering
  • Standing Waves
  • Wave Equations

Fields of Study

  • Mathematics

Readers

  • Linear Algebra