Duration and Bandwidth Limiting Prolate Functions, Sampling, and Applications

From the reviews:

“One can learn much from this volume without a lot of outside background reading. … There is plenty of value for those interested in time series analysis and signal processing. … In summary, this book can be recommended … to mathematicians for the beauty of its topics, to time series and signal processing mavens as a source book of practical tools, and lastly to the numerical analyst intrigued by the new subdomain of spectral methods where prolate functions are trying to expel Legendre polynomials.” (John P. Boyd, SIAM Review, Vol. 55 (3), 2013)

“This book is primarily a mathematical monograph and applied in nature, special emphasis is on mathematical methods. … The goal of this book is to maintain the focus on the central concepts of time- and band-limiting. … Although the main target audience of this book is professional engineers, it may also be used as reading material for graduate courses in communication engineering. A well written book.” (Prabhat Kumar Mahanti, Zentralblatt MATH, Vol. 1236, 2012)

“The subject of this book is of great interest to both electrical engineers and mathematicians. … The book under review discusses different aspects of the problem of optimizing the time duration and bandwidth of finite energy signals. … To the best of my knowledge, there are only a handful of books in the literature covering similar topics, but the book under review presents them from a different perspective, and as a result it is a new contribution to the field.” (Ahmed I. Zayed, Mathematical Reviews, Issue 2012 m)