Introduction to Spectral Theory de P.D. Hislop

Introduction to Spectral Theory: With Applications to Schrödinger Operators: Applied Mathematical Sciences, cartea 113

P.D. Hislop

I. M. Sigal

Descriere de la o altă ediție sau format:
This work aims to introduce students to active areas of research in mathematical physics in a rather direct way, thus minimizing the use of abstract mathematics. The book's main features are geometric methods in spectral analysis, semi-classical analysis of resonance and other topics.

Citește tot Restrânge

Toate formatele și edițiile

	Preț	Express
Paperback (1)	1323^.79 lei 43-57 zile
Springer – 9 oct 2012	1323^.79 lei 43-57 zile
Hardback (1)	1329^.58 lei 43-57 zile
Springer – 16 noi 1995	1329^.58 lei 43-57 zile

Din seria Applied Mathematical Sciences

20%

Preț: 817^.22 lei
24%

Preț: 818^.89 lei
Preț: 493^.64 lei
18%

Preț: 1187^.21 lei
15%

Preț: 471^.44 lei
18%

Preț: 969^.60 lei
18%

Preț: 713^.59 lei
Preț: 380^.26 lei
15%

Preț: 462^.89 lei
18%

Preț: 764^.22 lei
18%

Preț: 815^.14 lei
18%

Preț: 1771^.10 lei
15%

Preț: 471^.78 lei
18%

Preț: 701^.95 lei
18%

Preț: 754^.81 lei
15%

Preț: 678^.47 lei
18%

Preț: 1083^.25 lei
18%

Preț: 923^.84 lei
20%

Preț: 728^.29 lei
Preț: 414^.07 lei
Preț: 382^.20 lei
18%

Preț: 1090^.76 lei
24%

Preț: 741^.98 lei
18%

Preț: 869^.26 lei
15%

Preț: 612^.44 lei
24%

Preț: 874^.54 lei
18%

Preț: 867^.25 lei
15%

Preț: 574^.88 lei
15%

Preț: 620^.13 lei
15%

Preț: 635^.00 lei
24%

Preț: 1001^.05 lei
18%

Preț: 905^.62 lei
Preț: 527^.92 lei
Preț: 182^.75 lei
Preț: 383^.96 lei
15%

Preț: 618^.64 lei
15%

Preț: 508^.48 lei
Preț: 397^.45 lei
Preț: 375^.44 lei

Cuprins

1 The Spectrum of Linear Operators and Hilbert Spaces.- 2 The Geometry of a Hilbert Space and Its Subspaces.- 3 Exponential Decay of Eigenfunctions.- 4 Operators on Hilbert Spaces.- 5 Self-Adjoint Operators.- 6 Riesz Projections and Isolated Points of the Spectrum.- 7 The Essential Spectrum: Weyl’s Criterion.- 8 Self-Adjointness: Part 1. The Kato Inequality.- 9 Compact Operators.- 10 Locally Compact Operators and Their Application to Schrödinger Operators.- 11 Semiclassical Analysis of Schrödinger Operators I: The Harmonic Approximation.- 12 Semiclassical Analysis of Schrödinger Operators II: The Splitting of Eigenvalues.- 13 Self-Adjointness: Part 2. The Kato-Rellich Theorem 131.- 14 Relatively Compact Operators and the Weyl Theorem.- 15 Perturbation Theory: Relatively Bounded Perturbations.- 16 Theory of Quantum Resonances I: The Aguilar-Balslev-Combes-Simon Theorem.- 17 Spectral Deformation Theory.- 18 Spectral Deformation of Schrödinger Operators.- 19 The General Theory of Spectral Stability.- 20 Theory of Quantum Resonances II: The Shape Resonance Model.- 21 Quantum Nontrapping Estimates.- 22 Theory of Quantum Resonances III: Resonance Width.- 23 Other Topics in the Theory of Quantum Resonances.- Appendix 1. Introduction to Banach Spaces.- A1.1 Linear Vector Spaces and Norms.- A1.2 Elementary Topology in Normed Vector Spaces.- A1.3 Banach Spaces.- A1.4 Compactness.- 1. Density results.- 2. The Hölder Inequality.- 3. The Minkowski Inequality.- 4. Lebesgue Dominated Convergence.- Appendix 3. Linear Operators on Banach Spaces.- A3.1 Linear Operators.- A3.2 Continuity and Boundedness of Linear Operators.- A3.3 The Graph of an Operator and Closure.- A3.4 Inverses of Linear Operators.- A3.5 Different Topologies on L(X).- Appendix 4. The Fourier Transform, SobolevSpaces, and Convolutions.- A4.1 Fourier Transform.- A4.2 Sobolev Spaces.- A4.3 Convolutions.- References.