Spectral Theory of Differential Operators

Self-Adjoint Differential Operators

• Author(s): V.A. Il'in,
• Publisher: Springer Science & Business Media
• Pages: 390
• ISBN_10: 1461517559
  ISBN_13: 9781461517559
  
• Language: en
• Categories: Mathematics / Differential Equations / General , Mathematics / Mathematical Analysis ,

Description:... 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.