Spectral Theory of Differential Operators

Self-Adjoint Differential Operators

  • V. A. Il’in

About this book


In this fully-illustrated textbook, the author examines the spectral theory of self-adjoint elliptic operators. Chapters focus on the problems of convergence and summability of spectral decompositions about the fundamental functions of elliptic operators of the second order. The author's work offers a novel method for estimation of the remainder term of a spectral function and its Riesz means without recourse to the traditional Carleman technique and Tauberian theorem apparatus.


calculus differential operator function proof spectral theory theorem variable

Authors and affiliations

  • V. A. Il’in
    • 1
  1. 1.Moscow State UniversityMoscowRussia

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4615-1755-9
  • Copyright Information Springer-Verlag US 1995
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-306-11037-5
  • Online ISBN 978-1-4615-1755-9
  • About this book