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Global Pseudo-differential Calculus on Euclidean Spaces

Fabio Nicola Luigi Rodino Luigi Rodino

$306.95   $245.59

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English
Birkhauser Verlag AG
31 May 2010
This book presents a global pseudo-differential calculus in Euclidean spaces, which includes SG as well as Shubin classes and their natural generalizations containing Schroedinger operators with non-polynomial potentials. This calculus is applied to study global hypoellipticity for several pseudo-differential operators. The book includes classic calculus as a special case. It will be accessible to graduate students and of benefit to researchers in PDEs and mathematical physics.
By:   , ,
Imprint:   Birkhauser Verlag AG
Country of Publication:   Switzerland
Edition:   2010 ed.
Volume:   4
Dimensions:   Height: 235mm,  Width: 165mm,  Spine: 18mm
Weight:   538g
ISBN:   9783764385118
ISBN 10:   3764385111
Series:   Pseudo-Differential Operators
Pages:   306
Publication Date:  
Audience:   College/higher education ,  A / AS level ,  Further / Higher Education
Format:   Paperback
Publisher's Status:   Active
Background meterial.- Global Pseudo-Differential Calculus.- ?-Pseudo-Differential Operators and H-Polynomials.- G-Pseudo-Differential Operators.- Spectral Theory.- Non-Commutative Residue and Dixmier Trace.- Exponential Decay and Holomorphic Extension of Solutions.

Reviews for Global Pseudo-differential Calculus on Euclidean Spaces

From the reviews: The authors present a nice unified approach for deriving pseudo-differential calculus on Rd and interesting recent results for classes of pseudo-differential operators defined globally on Rd. The book is well written; an extended summary is given at the beginning of every chapter while at the end the authors provide comments and remarks that illustrate the historical background, previous contributions and references in the field. This book looks very interesting for researchers and Ph.D. students studying, broadly speaking, PDEs and pseudo-differential operators globally in Rd. (Todor V. Gramchev, Mathematical Reviews, Issue 2011 k)


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