Engineering Applications of Noncommutative Harmonic Analysis

In the opinion of this reviewer, the authors have accomplished their stated aims. [The book] is a comprehensive and generally self-contained exposition appropriate for guiding the engineering student to familiarity and, with practice, perhaps competence in an elegant and useful branch of analysis...it must certainly be considered as a solid reference addition to personal or institutional libraries. This reviewer welcomes it in his - Appl Mech Rev, Vol. 55, no. 1, January 2002 There is a substantial list of over 310 references...Engineering Applications of Noncommutative Harmonic Analysis: With Emphasis on Rotation and Motion Groups should be a source of enlightenment to the reader on many hitherto unexplored issues and concepts connecting the production and dissipation ranges of turbulence and the unstable developmental phases leading to these states. The authors have succeeded in producing a very readable and informative book that should act to stimulate additional discussions...It is recommended for research laboratory and academic library acquisition as a novel source of important developments. -Appl Mech Rev, vol. 54, no.6, November 2001 This book is an extensive account of the engineering applications of noncommutative harmonic analysis, that is, Fourier analysis on noncummutative Lie groups...The presentation throughout the book is explicit and highly computational. In addition, each chapter is supplemented with extensive references to the literature, both engineering and mathematical...Mathematicians will find the book interesting as a source of mathematical problems awaiting resolution, particularly those related to fast algorithms for the computation of the integrals involved -David H. Sattinger, Utah State University ...comprehensible and self-contained...a valuable fuide to the literature, both engineering and mathematical. ....Although the book is intended primarily for engineers, it is also interesting for mathematicians as a source of mathematical problems. - Mathematical Reviews, 2003g