Linear Transformations in Hilbert Space and Their Applications to Analysis
Author | : Marshall Harvey Stone |
Publisher | : American Mathematical Soc. |
Total Pages | : 632 |
Release | : 1932-12-31 |
Genre | : Mathematics |
ISBN | : 0821810154 |
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Author | : Marshall Harvey Stone |
Publisher | : American Mathematical Soc. |
Total Pages | : 632 |
Release | : 1932-12-31 |
Genre | : Mathematics |
ISBN | : 0821810154 |
Author | : Ahmed I. Zayed |
Publisher | : CRC Press |
Total Pages | : 684 |
Release | : 2019-08-21 |
Genre | : Mathematics |
ISBN | : 0429605390 |
Function transformations, which include linear integral transformations, are some of the most important mathematical tools for solving problems in all areas of engineering and the physical sciences. They allow one to quickly solve a problem by breaking it down into a series of smaller, more manageable problems. The author has compiled the most important and widely used of these function transforms in applied mathematics and electrical engineering. In addition to classical transforms, newer transforms such as wavelets, Zak, and Radon are included. The book is neither a table of transforms nor a textbook, but it is a source book that provides quick and easy access to the most important properties and formulas of function and generalized function transformations.
Author | : Miroslav Pavlović |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 572 |
Release | : 2019-08-19 |
Genre | : Mathematics |
ISBN | : 3110630850 |
This revised and extended edition of a well-established monograph in function theory contains a study on various function classes on the disc, a number of new results and new or easy proofs of old but interesting theorems (for example, the Fefferman–Stein theorem on subharmonic behavior or the theorem on conjugate functions in Bergman spaces) and a full discussion on g-functions.
Author | : J.L. Doob |
Publisher | : Springer Science & Business Media |
Total Pages | : 219 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461208777 |
This text is unique in accepting probability theory as an essential part of measure theory. Therefore, many examples are taken from probability, and probabilistic concepts such as independence and Markov processes are integrated into the text. Also, more attention than usual is paid to the role of algebras, and the metric defining the distance between sets as the measure of their symmetric difference is exploited more than is customary.
Author | : Sergeĭ Mikhaĭlovich Nikolʹskiĭ |
Publisher | : American Mathematical Soc. |
Total Pages | : 264 |
Release | : 1984 |
Genre | : Mathematics |
ISBN | : 9780821830833 |
Author | : F. G. Tricomi |
Publisher | : Courier Corporation |
Total Pages | : 256 |
Release | : 2012-04-27 |
Genre | : Mathematics |
ISBN | : 0486158306 |
Authoritative, well-written treatment of extremely useful mathematical tool with wide applications. Topics include Volterra Equations, Fredholm Equations, Symmetric Kernels and Orthogonal Systems of Functions, more. Advanced undergraduate to graduate level. Exercises. Bibliography.
Author | : Peter Duren |
Publisher | : Springer Science & Business Media |
Total Pages | : 557 |
Release | : 2013-10-17 |
Genre | : Mathematics |
ISBN | : 1461479495 |
This two volume set presents over 50 of the most groundbreaking contributions of Menahem M Schiffer. All of the reprints of Schiffer’s works herein have extensive annotation and invited commentaries, giving new clarity and insight into the impact and legacy of Schiffer's work. A complete bibliography and brief biography make this a rounded and invaluable reference.
Author | : Alexander D. Poularikas |
Publisher | : CRC Press |
Total Pages | : 914 |
Release | : 2018-09-03 |
Genre | : Mathematics |
ISBN | : 1420066536 |
Updating the original, Transforms and Applications Handbook, Third Edition solidifies its place as the complete resource on those mathematical transforms most frequently used by engineers, scientists, and mathematicians. Highlighting the use of transforms and their properties, this latest edition of the bestseller begins with a solid introduction to signals and systems, including properties of the delta function and some classical orthogonal functions. It then goes on to detail different transforms, including lapped, Mellin, wavelet, and Hartley varieties. Written by top experts, each chapter provides numerous examples and applications that clearly demonstrate the unique purpose and properties of each type. The material is presented in a way that makes it easy for readers from different backgrounds to familiarize themselves with the wide range of transform applications. Revisiting transforms previously covered, this book adds information on other important ones, including: Finite Hankel, Legendre, Jacobi, Gengenbauer, Laguerre, and Hermite Fraction Fourier Zak Continuous and discrete Chirp-Fourier Multidimensional discrete unitary Hilbert-Huang Most comparable books cover only a few of the transforms addressed here, making this text by far the most useful for anyone involved in signal processing—including electrical and communication engineers, mathematicians, and any other scientist working in this field.
Author | : M. Hazewinkel |
Publisher | : Springer |
Total Pages | : 927 |
Release | : 2013-12-01 |
Genre | : Mathematics |
ISBN | : 1489937978 |
Author | : Alampallam V. Balakrishnan |
Publisher | : Springer Science & Business Media |
Total Pages | : 385 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461258650 |
In preparing the second edition, I have taken advantage of the opportunity to correct errors as well as revise the presentation in many places. New material has been included, in addition, reflecting relevant recent work. The help of many colleagues (and especially Professor J. Stoer) in ferreting out errors is gratefully acknowledged. I also owe special thanks to Professor v. Sazonov for many discussions on the white noise theory in Chapter 6. February, 1981 A. V. BALAKRISHNAN v Preface to the First Edition The title "Applied Functional Analysis" is intended to be short for "Functional analysis in a Hilbert space and certain of its applications," the applications being drawn mostly from areas variously referred to as system optimization or control systems or systems analysis. One of the signs of the times is a discernible tilt toward application in mathematics and conversely a greater level of mathematical sophistication in the application areas such as economics or system science, both spurred undoubtedly by the heightening pace of digital computer usage. This book is an entry into this twilight zone. The aspects of functional analysis treated here are rapidly becoming essential in the training at the advance graduate level of system scientists and/or mathematical economists. There are of course now available many excellent treatises on functional analysis.