Operator Theory: Advances and Applications

Pseudo-Differential Operators, Generalized Functions and Asymptotics

Editors: Molahajloo, S., Pilipović, S., Toft, J., Wong, M.W. (Eds.)

  • Represents the latest updates in pseudo-differential operators and new developments in generalized functions and asymptotics
  • Presents different but related areas in analysis and applications on an equal footing
  • Not perceived as conference proceedings  
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About this book

This volume consists of twenty peer-reviewed papers from the special session on pseudodifferential operators and the special session on generalized functions and asymptotics at the Eighth Congress of ISAAC held at the Peoples’ Friendship University of Russia in Moscow on August 22‒27, 2011. The category of papers on pseudo-differential operators contains such topics as elliptic operators assigned to diffeomorphisms of smooth manifolds, analysis on singular manifolds with edges, heat kernels and Green functions of sub-Laplacians on the Heisenberg group and Lie groups with more complexities than but closely related to the Heisenberg group, Lp-boundedness of pseudo-differential operators on the torus, and pseudo-differential operators related to time-frequency analysis. The second group of papers contains various classes of distributions and algebras of generalized functions with applications in linear and nonlinear differential equations, initial value problems and boundary value problems, stochastic and Malliavin-type differential equations. This second group of papers are related to the third collection of papers via the setting of Colombeau-type spaces and algebras in which microlocal analysis is developed by means of techniques in asymptotics. The volume contains the synergies of the three areas treated and is a useful complement to volumes 155, 164, 172, 189, 205 and 213 published in the same series in, respectively, 2004, 2006, 2007, 2009, 2010 and 2011.  

Table of contents (20 chapters)

  • Elliptic Theory for Operators Associated with Diffeomorphisms of Smooth Manifolds

    Savin, Anton (et al.)

    Pages 1-26

  • The Singular Functions of Branching Edge Asymptotics

    Schulze, B.-W. (et al.)

    Pages 27-53

  • The Heat Kernel and Green Function of the Sub-Laplacian on the Heisenberg Group

    Duan, Xiaoxi

    Pages 55-75

  • Metaplectic Equivalence of the Hierarchical Twisted Laplacian

    Molahajloo, Shahla (et al.)

    Pages 77-84

  • The Heat Kernel and Green Function of a Sub-Laplacian on the Hierarchical Heisenberg Group

    Molahajloo, Shahla (et al.)

    Pages 85-102

Buy this book

eBook $129.00
price for USA (gross)
  • ISBN 978-3-0348-0585-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.00
price for USA
  • ISBN 978-3-0348-0584-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Pseudo-Differential Operators, Generalized Functions and Asymptotics
Editors
  • Shahla Molahajloo
  • Stevan Pilipović
  • Joachim Toft
  • M. W. Wong
Series Title
Operator Theory: Advances and Applications
Series Volume
231
Copyright
2013
Publisher
Birkhäuser Basel
Copyright Holder
Springer Basel
eBook ISBN
978-3-0348-0585-8
DOI
10.1007/978-3-0348-0585-8
Hardcover ISBN
978-3-0348-0584-1
Series ISSN
0255-0156
Edition Number
1
Number of Pages
VIII, 370
Number of Illustrations and Tables
5 b/w illustrations, 1 illustrations in colour
Topics