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Analysis of Pseudo-Differential Operators
(Englisch)
Trends in Mathematics
Molahajloo, Shahla & Wong, M. W.

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Analysis of Pseudo-Differential Operators

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Contains research papers presented in a special session at the 11th ISAAC Congress held at Linnaeus University in Sweden

Presents two chapters about operators on Lie groups and manifolds with edge

Provides guidance for future research in pseudo-differential operators and related topics

Contains research papers presented in a special session at the 11th ISAAC Congress held at Linnaeus University in Sweden

Presents two chapters about operators on Lie groups and manifolds with edge

Provides guidance for future research in pseudo-differential operators and related topics


This volume, like its predecessors, is based on the special session on pseudo-differential operators, one of the many special sessions at the 11th ISAAC Congress, held at Linnaeus University in Sweden on August 14-18, 2017. It includes research papers presented at the session and invited papers by experts in fields that involve pseudo-differential operators.

The first four chapters focus on the functional analysis of pseudo-differential operators on a spectrum of settings from Z to Rto compact groups. Chapters 5 and 6 discuss operators on Lie groups and manifolds with edge, while the following two chapters cover topics related to probabilities. The final chapters then address topics in differential equations.



Discrete Analogs of Wigner Transforms and Weyl Transforms.- Characterization of Non-Smooth Pseudodifferential Operators with Hölder Continuous Coefficients.- Fredholmness and Ellipticity of psi DOs on Bs pq(Rn) and Fspq(Rn).- Characterizations of Self-Adjointness, Normality, Invertibility and Unitarity of Pseudo-Differential Operators on Compact and Hausdorff Groups.- Multilinear Commutators in Variable Lebesgue Spaces on Stratied Groups.- Volterra Operators with Asymptotes on Manifolds with Edge.- Bismut's Way of the Malliavin Calculus for Non-Markovian Semi-Groups: an Introduction.- Operator Transformation of Probability Densities.- The Time-Frequency Interference Terms of the Green's Function for the Harmonic Oscillator.- On the Solvability in the Sense of Sequences for Some Non-Fredholm Operators Related to the Anomalous Diffusion.

This volume, like its predecessors, is based on the special session on pseudo-differential operators, one of the many special sessions at the 11th ISAAC Congress, held at Linnaeus University in Sweden on August 14-18, 2017. It includes research papers presented at the session and invited papers by experts in fields that involve pseudo-differential operators.

The first four chapters focus on the functional analysis of pseudo-differential operators on a spectrum of settings from Z to Rto compact groups. Chapters 5 and 6 discuss operators on Lie groups and manifolds with edge, while the following two chapters cover topics related to probabilities. The final chapters then address topics in differential equations.



This volume, like its predecessors, is based on the special session on pseudo-differential operators, one of the many special sessions at the 11th ISAAC Congress, held at Linnaeus University in Sweden on August 14-18, 2017. It includes research papers presented at the session and invited papers by experts in fields that involve pseudo-differential operators.

The first four chapters focus on the functional analysis of pseudo-differential operators on a spectrum of settings from Z to Rto compact groups. Chapters 5 and 6 discuss operators on Lie groups and manifolds with edge, while the following two chapters cover topics related to probabilities. The final chapters then address topics in differential equations.


Discrete Analogs of Wigner Transforms and Weyl Transforms.- Characterization of Non-Smooth Pseudodifferential Operators with Hölder Continuous Coefficients.- Fredholmness and Ellipticity of psi DOs on Bs pq(Rn) and Fspq(Rn).- Characterizations of Self-Adjointness, Normality, Invertibility and Unitarity of Pseudo-Differential Operators on Compact and Hausdorff Groups.- Multilinear Commutators in Variable Lebesgue Spaces on Stratied Groups.- Volterra Operators with Asymptotes on Manifolds with Edge.- Bismut's Way of the Malliavin Calculus for Non-Markovian Semi-Groups: an Introduction.- Operator Transformation of Probability Densities.- The Time-Frequency Interference Terms of the Green's Function for the Harmonic Oscillator.- On the Solvability in the Sense of Sequences for Some Non-Fredholm Operators Related to the Anomalous Diffusion.

Inhaltsverzeichnis



Discrete Analogs of Wigner Transforms and Weyl Transforms.- Characterization of Non-Smooth Pseudodifferential Operators with Hölder Continuous Coefficients.- Fredholmness and Ellipticity of psi DOs on Bs pq(Rn) and Fspq(Rn).- Characterizations of Self-Adjointness, Normality, Invertibility and Unitarity of Pseudo-Differential Operators on Compact and Hausdorff Groups.- Multilinear Commutators in Variable Lebesgue Spaces on Stratied Groups.- Volterra Operators with Asymptotes on Manifolds with Edge.- Bismut's Way of the Malliavin Calculus for Non-Markovian Semi-Groups: an Introduction.- Operator Transformation of Probability Densities.- The Time-Frequency Interference Terms of the Green's Function for the Harmonic Oscillator.- On the Solvability in the Sense of Sequences for Some Non-Fredholm Operators Related to the Anomalous Diffusion.


Klappentext



This volume, like its predecessors, is based on the special session on pseudo-differential operators, one of the many special sessions at the 11th ISAAC Congress, held at Linnaeus University in Sweden on August 14-18, 2017. It includes research papers presented at the session and invited papers by experts in fields that involve pseudo-differential operators. The first four chapters focus on the functional analysis of pseudo-differential operators on a spectrum of settings from Z to Rn to compact groups. Chapters 5 and 6 discuss operators on Lie groups and manifolds with edge, while the following two chapters cover topics related to probabilities. The final chapters then address topics in differential equations.




Contains research papers presented in a special session at the 11th ISAAC Congress held at Linnaeus University in Sweden

Presents two chapters about operators on Lie groups and manifolds with edge

Provides guidance for future research in pseudo-differential operators and related topics



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