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ISBN: 0521534410 0521806895 Year: 2003 Publisher: Cambridge Cambridge University Press
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ISBN: 1107131340 1283329409 0511673914 9786613329400 0511806833 0511675100 0511671857 0511670575 0511673124 9780511675102 9780511671852 9780511806834 0521806895 0521534410 9780521534413 9780521806893 9781107131347 9781283329408 9780511673917 6613329401 9780511670572 9780511673122 Year: 2003 Publisher: Cambridge New York Cambridge University Press
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This textbook presents in a unified manner the fundamentals of both continuous and discrete versions of the Fourier and Laplace transforms. These transforms play an important role in the analysis of all kinds of physical phenomena. As a link between the various applications of these transforms the authors use the theory of signals and systems, as well as the theory of ordinary and partial differential equations. The book is divided into four major parts: periodic functions and Fourier series, non-periodic functions and the Fourier integral, switched-on signals and the Laplace transform, and finally the discrete versions of these transforms, in particular the Discrete Fourier Transform together with its fast implementation, and the z-transform. This textbook is designed for self-study. It includes many worked examples, together with more than 120 exercises, and will be of great value to undergraduates and graduate students in applied mathematics, electrical engineering, physics and computer science.
ISBN: 0821832565 Year: 2003 Publisher: Providence (R.I.): American Mathematical Society
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Complex analysis --- Harmonic analysis. --- Convex bodies. --- Representations of groups. --- Laplace transformation. --- Convex bodies --- Harmonic analysis --- Laplace transformation --- Representations of groups --- Group representation (Mathematics) --- Groups, Representation theory of --- Group theory --- Transformation, Laplace --- Calculus, Operational --- Differential equations --- Transformations (Mathematics) --- Analysis (Mathematics) --- Functions, Potential --- Potential functions --- Banach algebras --- Calculus --- Mathematical analysis --- Mathematics --- Bessel functions --- Fourier series --- Harmonic functions --- Time-series analysis --- Convex domains
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