Harmonic Analysis and Applications

Harmonic analysis plays an essential role in understanding a host of engineering mathematical and scientific ideas. In Harmonic Analysis and Applications the analysis and synthesis of functions in terms of harmonics is presented in such a way as to demonstrate the vitality power elegance usefulness and the intricacy and simplicity of the subject. This book is about classical harmonic analysis - a textbook suitable for students and an essay and general reference suitable for mathematicians physicists and others who use harmonic analysis. Throughout the book material is provided for an upper level undergraduate course in harmonic analysis and some of its applications. In addition the advanced material in Harmonic Analysis and Applications is well-suited for graduate courses. The course is outlined in Prologue I. This course material is excellent not only for students but also for scientists mathematicians and engineers as a general reference. Chapter 1 covers the Fourier analysis of integrable and square integrable (finite energy) functions on R. Chapter 2 of the text covers distribution theory emphasizing the theory's useful vantage point for dealing with problems and general concepts from engineering physics and mathematics. Chapter 3 deals with Fourier series including the Fourier analysis of finite and infinite sequences as well as functions defined on finite intervals. The mathematical presentation insightful perspectives and numerous well-chosen examples and exercises in Harmonic Analysis and Applications make this book well worth having in your collection. Language: English