Analysis of Pseudo-Differential Operators. 1st ed. 2019

種類:

電子ブック

責任表示:

edited by Shahla Molahajloo, M. W. Wong

出版情報:

Cham : Springer International Publishing : Imprint: Birkhäuser, 2019

著者名:

• Molahajloo, Shahla.
• Wong, M. W.
• SpringerLink (Online service)

シリーズ名:

Trends in Mathematics ;

ISBN:

9783030051686 [3030051684]    

注記:

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 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.

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