Chapter 1. Function Spaces, Linear Operators, and Green's Functions

  1. Dr. Michio Masujima

Published Online: 27 NOV 2009

DOI: 10.1002/9783527627745.ch1

Applied Mathematical Methods in Theoretical Physics, Second Edition

Applied Mathematical Methods in Theoretical Physics, Second Edition

How to Cite

Masujima, M. (2009) Function Spaces, Linear Operators, and Green's Functions, in Applied Mathematical Methods in Theoretical Physics, Second Edition, Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, Germany. doi: 10.1002/9783527627745.ch1

Author Information

  1. Tokyo, Japan

Publication History

  1. Published Online: 27 NOV 2009
  2. Published Print: 19 AUG 2009

ISBN Information

Print ISBN: 9783527409365

Online ISBN: 9783527627745

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Keywords:

  • theoretical physics;
  • applied mathematical methods;
  • function spaces;
  • linear operators;
  • Green's functions

Summary

This chapter contains sections titled:

  • Function Spaces

  • Orthonormal System of Functions

  • Linear Operators

  • Eigenvalues and Eigenfunctions

  • The Fredholm Alternative

  • Self-Adjoint Operators

  • Green's Functions for Differential Equations

  • Review of Complex Analysis

  • Review of Fourier Transform