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L2 Spaces

  • Robert D. Richtmyer
Part of the Texts and Monographs in Physics book series (TMP)

Abstract

The concepts of Hilbert space, distribution, and mean convergence are combined to construct function spaces suitable for the analysis of differential operators. From the quantum-mechanical point of view, the elements or “points” in such a space are the wave functions that represent the states of a physical system.

Keywords

Mean convergence quadraticalty integrable functions and distributions and their properties. Spaces of type L2,L1,Lp, Z, Lσ2 Fourier transforms and mollifiers in L2 spaces Sobolev spaces boundary values in Sobolev spaces 

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Copyright information

© Springer-Verlag New York Inc. 1978

Authors and Affiliations

  • Robert D. Richtmyer
    • 1
  1. 1.Department of Physics and AstrophysicsUniversity of ColoradoBoulderUSA

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