The Method of Rigged Spaces in Singular Perturbation Theory of Self-Adjoint Operators: 253 (Operator Theory: Advances and Applications, 253) - Image 1

£84.04

Birkhauser The Method of Rigged Spaces in Singular Perturbation Theory of Self-Adjoint Operators: 253 (Operator Theory: Advances and Applications, 253)

Name: The Method of Rigged Spaces in Singular Perturbation Theory of Self-Adjoint Operators: 253 (Operator Theory: Advances and Applications, 253)
Brand: Birkhauser
Price: 83.63 GBP
Availability: InStock

Functional Analysis

Price History & Forecast

Last 81 days • 81 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 81 days • 2 price levels

Days at Price

Current Price

Price Analysis

Most common price: £84 (57 days, 70.4%)

Price range: £84 - £85

Price levels: 2 different prices over 81 days

Description

Product Description This monograph presents the newly developed method of rigged Hilbert spaces as a modern approach in singular perturbation theory. A key notion of this approach is the Lax-Berezansky triple of Hilbert spaces embedded one into another, which specifies the well-known Gelfand topological triple. All kinds of singular interactions described by potentials supported on small sets (like the Dirac δ-potentials, fractals, singular measures, high degree super-singular expressions) admit a rigorous treatment only in terms of the equipped spaces and their scales. The main idea of the method is to use singular perturbations to change inner products in the starting rigged space, and the construction of the perturbed operator by the Berezansky canonical isomorphism (which connects the positive and negative spaces from a new rigged triplet). The approach combines three powerful tools of functional analysis based on the Birman-Krein-Vishik theory of self-adjoint extensions of symmetric operators, the theory of singular quadratic forms, and the theory of rigged Hilbert spaces. The book will appeal to researchers in mathematics and mathematical physics studying the scales of densely embedded Hilbert spaces, the singular perturbations phenomenon, and singular interaction problems. Review “This well written book is a very welcome addition, filling a significant gap in the literature on singular perturbation theory.” (Jaydeb Sarkar, zbMATH 1447.47010, 2020) From the Back Cover This monograph presents the newly developed method of rigged Hilbert spaces as a modern approach in singular perturbation theory. A key notion of this approach is the Lax-Berezansky triple of Hilbert spaces embedded one into another, which specifies the well-known Gelfand topological triple.All kinds of singular interactions described by potentials supported on small sets (like the Dirac δ-potentials, fractals, singular measures, high degree super-singular expressions) admit a rigorous treatment only in terms of the equipped spaces and their scales. The main idea of the method is to use singular perturbations to change inner products in the starting rigged space, and the construction of the perturbed operator by the Berezansky canonical isomorphism (which connects the positive and negative spaces from a new rigged triplet). The approach combines three powerful tools of functional analysis based on the Birman-Krein-Vishik theory of self-adjoint extensions of symmetric operators, the theory of singular quadratic forms, and the theory of rigged Hilbert spaces. The book will appeal to researchers in mathematics and mathematical physics studying the scales of densely embedded Hilbert spaces, the singular perturbations phenomenon, and singular interaction problems. About the Author

Product Specifications

Brand: Birkhauser
Format: hardcover
ASIN: 3319295330
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Functional Analysis
Domain: Amazon UK
Release Date: 24 July 2016
Listed Since: 23 December 2015

Barcode

No barcode data available

Birkhauser The Method of Rigged Spaces in Singular Perturbation Theory of Self-Adjoint Operators: 253 (Operator Theory: Advances and Applications, 253)

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Indefinite Inner Product Spaces, Schur Analysis, and Differential Equations: A Volume Dedicated to Heinz Langer: 263 (Operator Theory: Advances and Applications, 263)

Non-Archimedean Operator Theory (SpringerBriefs in Mathematics)

Semitopological Vector Spaces: Hypernorms, Hyperseminorms, and Operators

Operators Between Sequence Spaces and Applications

Modulation Spaces: With Applications to Pseudodifferential Operators and Nonlinear Schrödinger Equations (Applied and Numerical Harmonic Analysis)

Analysis of Operators on Function Spaces: The Serguei Shimorin Memorial Volume (Trends in Mathematics)

Positivity and its Applications: Positivity X, 8-12 July 2019, Pretoria, South Africa (Trends in Mathematics)

Linear Algebra and Its Applications, 2e + Functional Analysis Set (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts)

Operator Algebras, Toeplitz Operators and Related Topics: 279 (Operator Theory: Advances and Applications, 279)

Nonlinear Functional Analysis in Banach Spaces and Banach Algebras: Fixed Point Theory under Weak Topology for Nonlinear Operators and Block Operator ... Monographs and Research Notes in Mathematics)

Foundations of Algebraic Analysis (PMS-37), Volume 37 (Princeton Mathematical Series)

Direct and Inverse Scattering for the Matrix Schrödinger Equation: 203 (Applied Mathematical Sciences, 203)

Self-adjoint Extensions in Quantum Mechanics: General Theory and Applications to Schrödinger and Dirac Equations with Singular Potentials: 62 (Progress in Mathematical Physics, 62)

Cohomological Analysis of Partial Differential Equations and Secondary Calculus (Translations of Mathematical Monographs)

Spectral Analysis on Graph-like Spaces: 2039 (Lecture Notes in Mathematics, 2039)

Quaternionic Closed Operators, Fractional Powers and Fractional Diffusion Processes: 274 (Operator Theory: Advances and Applications, 274)

Lagrangian Reduction by Stages (Memoirs of the American Mathematical Society)

Frobenius Manifolds: Quantum Cohomology and Singularities: 36 (Aspects of Mathematics, 36)

On Spectral Theory of Elliptic Operators: 89 (Operator Theory: Advances and Applications, 89)

Toeplitz-Quantisierung symmetrischer Gebiete auf Grundlage der C*-Dualität

Coherent States, Wavelets, and Their Generalizations (Theoretical and Mathematical Physics)

Conformable Dynamic Equations on Time Scales

Algebraic and Differential Methods for Nonlinear Control Theory: Elements of Commutative Algebra and Algebraic Geometry (Mathematical and Analytical Techniques with Applications to Engineering)

Springer-Handbuch der Mathematik I: Begründet von I.N. Bronstein und K.A. Semendjaew Weitergeführt von G. Grosche, V. Ziegler und D. Ziegler Herausgegeben von E. Zeidler