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Lieferstatus:	i.d.R. innert 7-14 Tagen versandfertig
Veröffentlichung:	April 2007
Genre:	Schulbücher
	Functional analysis & transforms / Functional analysis and transforms / MATHEMATICS / Functional Analysis
ISBN:	9780521866293
EAN-Code:	9780521866293
Verlag:	Cambridge Academic
Einband:	Gebunden
Sprache:	English
Dimensionen:	H 235 mm / B 158 mm / D 27 mm
Gewicht:	768 gr
Illustration:	15 b/w illus. 274 exercises, Zeichnungen, nicht spezifiziert, Worked examples or Exercises
Bewertung:	Titel bewerten / Meinung schreiben

Inhalt:

This wide ranging but self-contained account of the spectral theory of non-self-adjoint linear operators is ideal for postgraduate students and researchers, and contains many illustrative examples and exercises. Fredholm theory, Hilbert-Schmidt and trace class operators are discussed, as are one-parameter semigroups and perturbations of their generators. Two chapters are devoted to using these tools to analyze Markov semigroups. The text also provides a thorough account of the new theory of pseudospectra, and presents the recent analysis by the author and Barry Simon of the form of the pseudospectra at the boundary of the numerical range. This was a key ingredient in the determination of properties of the zeros of certain orthogonal polynomials on the unit circle. Finally, two methods, both very recent, for obtaining bounds on the eigenvalues of non-self-adjoint Schrodinger operators are described. The text concludes with a description of the surprising spectral properties of the non-self-adjoint harmonic oscillator.