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AMS/IP Studies in Advanced Mathematics Laguerre Calculus and its Applications on the Heisenberg GroupPublished: 2001 Publisher: American Mathematical Society / International Press Language: English Hardcover 319 pages List Price: $74.00 
Description
For nearly two centuries, the relation between analytic functions of one complex variable, their boundary values, harmonic functions, and the theory of Fourier series has been one of the central topics of study in mathematics. The topic stands on its own, yet also provides very useful mathematical applications.
This text provides a selfcontained introduction to the corresponding questions in several complex variables: namely, analysis on the Heisenberg group and the study of the solutions of the boundary CauchyRiemann equations. In studying this material, readers are exposed to analysis in noncommutative compact and Lie groups, specifically the rotation group and the Heisenberg groupsboth fundamental in the theory of group representations and physics.
Introduced in a concrete setting are the main ideas of the CalderónZygmundStein school of harmonic analysis. Also considered in the book are some less conventional problems of harmonic and complex analysis, in particular, the Morera and Pompeiu problems for the Heisenberg group, which relates to questions in optics, tomography, and engineering.
The book was borne of graduate courses and seminars held at the University of Maryland (College Park), the University of Toronto (ON), Georgetown University (Washington, DC), and the University of Georgia (Athens). Readers should have an advanced undergraduate understanding of Fourier analysis and complex analysis in one variable.
This volume is part of the AMS/IP Studies in Advanced Mathematics book series.
Publications
Pub. Date 
ISBN13 
ISBN10 
Medium 
Binding 
Size, Etc. 
Status 
List Price 
2019 Apr 
9781470438128 
EBook 
In Print 

2001 
9780821827611 
0821827618 

hardcover 
In Print 
US$74.00 