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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 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
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