Analysis of pseudo-differential operators. ([2019])
- Record Type:
- Book
- Title:
- Analysis of pseudo-differential operators. ([2019])
- Main Title:
- Analysis of pseudo-differential operators
- Further Information:
- Note: Editors, Shahla Molahajloo and M.W. Wong.
- Editors:
- Molahajloo, Shahla
Wong, M. W (Man Wah), 1951- - Contents:
- Intro; Preface; Contents; Discrete Analogs of Wigner Transforms and Weyl Transforms; 1 Introduction; 2 Discrete Fourier-Wigner Transforms and Discrete Wigner Transforms; 3 Discrete Weyl Transforms; 4 Hilbert-Schmidt Discrete Weyl Transforms; 5 The Weyl Calculus; References; Characterization and Spectral Invariance of Non-Smooth Pseudodifferential Operators with Hölder Continuous Coefficients; 1 Preliminaries; 1.1 Functions on Rn and Function Spaces; 1.2 Kernel Theorem; 1.3 Extension of the Space of Amplitudes; 2 Pseudodifferential Operators; 2.1 Properties of Pseudodifferential Operators Fredholmness and Ellipticity of DOs on Bpqs(Rn) and Fpqs(Rn)1 Introduction; 2 Pseudodifferential Operators on Rn and Function Spaces; 3 Main Result; References; Characterizations of Self-Adjointness, Normality, Invertibility, and Unitarity of Pseudo-Differential Operators on Compact and Hausdorff Groups; 1 Introduction; 2 Injectivity; 3 Adjoints; 4 Products; 5 Invertibility; References; Multilinear Commutators in Variable Lebesgue Spaces on Stratified Groups; 1 Introduction; 2 The Preliminaries; 3 The Main Results and Proofs; References Volterra Operators with Asymptotics on Manifolds with Edge1 Introduction; 2 Manifolds with Edge; 3 Weighted Cone Spaces; 4 Volterra Symbols and Edge Spaces; 5 Anisotropic Green Symbols; 6 Mellin Operators with Asymptotics; 7 Anisotropic Weighted Spaces; 8 Global Operators on RY and RB; 9 Inversion of 1+M+G in Anisotropic Edge Spaces; References; Bismut's WayIntro; Preface; Contents; Discrete Analogs of Wigner Transforms and Weyl Transforms; 1 Introduction; 2 Discrete Fourier-Wigner Transforms and Discrete Wigner Transforms; 3 Discrete Weyl Transforms; 4 Hilbert-Schmidt Discrete Weyl Transforms; 5 The Weyl Calculus; References; Characterization and Spectral Invariance of Non-Smooth Pseudodifferential Operators with Hölder Continuous Coefficients; 1 Preliminaries; 1.1 Functions on Rn and Function Spaces; 1.2 Kernel Theorem; 1.3 Extension of the Space of Amplitudes; 2 Pseudodifferential Operators; 2.1 Properties of Pseudodifferential Operators Fredholmness and Ellipticity of DOs on Bpqs(Rn) and Fpqs(Rn)1 Introduction; 2 Pseudodifferential Operators on Rn and Function Spaces; 3 Main Result; References; Characterizations of Self-Adjointness, Normality, Invertibility, and Unitarity of Pseudo-Differential Operators on Compact and Hausdorff Groups; 1 Introduction; 2 Injectivity; 3 Adjoints; 4 Products; 5 Invertibility; References; Multilinear Commutators in Variable Lebesgue Spaces on Stratified Groups; 1 Introduction; 2 The Preliminaries; 3 The Main Results and Proofs; References Volterra Operators with Asymptotics on Manifolds with Edge1 Introduction; 2 Manifolds with Edge; 3 Weighted Cone Spaces; 4 Volterra Symbols and Edge Spaces; 5 Anisotropic Green Symbols; 6 Mellin Operators with Asymptotics; 7 Anisotropic Weighted Spaces; 8 Global Operators on RY and RB; 9 Inversion of 1+M+G in Anisotropic Edge Spaces; References; Bismut's Way of the Malliavin Calculus for Non-Markovian Semi-groups: An Introduction; 1 Introduction; 2 The Case of a Formal Stochastic Differential Equation; 3 The Full Use of the Symmetry of the Group 3.1 Algebraic Scheme of the Proof: Malliavin Integration by Parts3.2 Estimates: The Davies Gauge Transform; 4 The Case of an Intrinsic Variation; 4.1 Algebraic Scheme of the Proof: Malliavin Integration by Parts; 4.2 Estimates: The Davies Gauge Transform; 5 Wentzel-Freidlin Estimates for the Semi-Group Only; 6 Application: Some Varadhan Estimates; References; Operator Transformation of Probability Densities; 1 Introduction; 2 Operator Transformation; 2.1 Expectation Values; 3 Edgeworth and Gram-Charlier Cases; 3.1 Approximation; 3.2 Gram-Charlier Series; 4 Cumulants … (more)
- Publisher Details:
- Cham, Switzerland : Birkhäuser
- Publication Date:
- 2019
- Extent:
- 1 online resource
- Subjects:
- 515.7242
Pseudodifferential operators
MATHEMATICS / Calculus
MATHEMATICS / Mathematical Analysis
Electronic books
Electronic books - Languages:
- English
- ISBNs:
- 9783030051686
3030051684 - Related ISBNs:
- 9783030051679
- Notes:
- Note: Includes bibliographical references.
Note: Online resource; title from PDF title page (EBSCO, viewed May 10, 2019). - Access Rights:
- Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
- Access Usage:
- Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD.DS.421053
- Ingest File:
- 02_529.xml