Fields Institute Communications 2007; 414 pp; hardcover Volume: 52 ISBN10: 0821842765 ISBN13: 9780821842768 List Price: US$130 Member Price: US$104 Order Code: FIC/52
 This volume is based on lectures given at the workshop on pseudodifferential operators held at the Fields Institute from December 11, 2006 to December 15, 2006. The two main themes of the workshop and hence this volume are partial differential equations and timefrequency analysis. The contents of this volume consist of five minicourses for graduate students and postdocs, and fifteen papers on related topics. Of particular interest in this volume are the mathematical underpinnings, applications and ramifications of the relatively new Stockwell transform, which is a hybrid of the Gabor transform and the wavelet transform. The twenty papers in this volume reflect modern trends in the development of pseudodifferential operators. Titles in this series are copublished with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada). Readership Graduate students and research mathematicians interested in pseudodifferential operators. Reviews "I do not think it (is) an exaggeration to say that most of us who engage ourselves in study and research, will learn something of the present trends in pseudodifferential operators on just about every page. ... An equally outstanding feature of an outstanding volume apart from an excellent layout of mathematical equations, is the list of references appended to each paper."  Current Engineering Practice Table of Contents  P. Greiner  On Hörmander operators and nonholonomic geometry
 A. Dasgupta and M. W. Wong  Weyl transforms and the inverse of the subLaplacian on the Heisenberg group
 B.W. Schulze  Pseudodifferential calculus on manifolds with geometric singularities
 C.I. Martin  Corner operators and applications to elliptic complexes
 N. Dines  Ellipticity of a class of corner operators
 C. L. Epstein  Pseudodifferential methods for boundary value problems
 V. Rabinovich  Invertibility of parabolic Pseudodifferential operators
 M. Cappiello, T. Gramchev, and L. Rodino  Semilinear pseudodifferential equations and travelling waves
 E. Buzano and J. Toft  Continuity and compactness properties of pseudodifferential operators
 F. Concetti and J. Toft  Trace ideals for Fourier integral operators with nonsmooth symbols
 V. Catană  Schattenvon Neumann norm inequalities for twowavelet localization operators
 R. G. Stockwell  Why use the Stransform?
 T. A. Bjarnason, S. Drabycz, D. H. Adler, J. G. Cairncross, and J. R. Mitchell  Applying the Stransform to magnetic resonance imaging texture analysis
 Y. Liu and M. W. Wong  Inversion formulas for twodimensional Stockwell transforms
 C. R. Pinnegar  Localization of signal and image features with the TTtransform
 K. Gröchenig  Weight functions in timefrequency analysis
 R. R. Radha and S. Sivananthan  Shannon type sampling theorems on the Heisenberg group
 A. Mohammed and M. W. Wong  Rihaczek transforms and pseudodifferential operators
 P. Boggiatto, G. De Donno, and A. Oliaro  A unified point of view on timefrequency representations and pseudodifferential operators
 R. Ashino, T. Mandai, A. Morimoto, and F. Sasaki  Blind source separation using timefrequency analysis
