Analysis of Pseudo-Differential Operators

Herausgegeben:Molahajloo, Shahla; Wong, M. W.

• Gebundenes Buch

Produktbeschreibung

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.

Produktdetails

• Trends in Mathematics
• Verlag: Birkhäuser / Springer International Publishing / Springer, Berlin
• Artikelnr. des Verlages: 978-3-030-05167-9
• 1st ed. 2019
• Seitenzahl: 268
• Erscheinungstermin: 17. Mai 2019
• Englisch
• Abmessung: 241mm x 160mm x 21mm
• Gewicht: 544g
• ISBN-13: 9783030051679
• ISBN-10: 3030051676
• Artikelnr.: 54415503

Inhaltsangabe

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.

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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.