A Basis Theory Primer PDF Download
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| Author | : Christopher Heil |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 549 |
| Release | : 2011 |
| Genre | : Mathematics |
| ISBN | : 0817646868 |
Download A Basis Theory Primer Book in PDF, ePub and Kindle
This textbook is a self-contained introduction to the abstract theory of bases and redundant frame expansions and their use in both applied and classical harmonic analysis. The four parts of the text take the reader from classical functional analysis and basis theory to modern time-frequency and wavelet theory. Extensive exercises complement the text and provide opportunities for learning-by-doing, making the text suitable for graduate-level courses. The self-contained presentation with clear proofs is accessible to graduate students, pure and applied mathematicians, and engineers interested in the mathematical underpinnings of applications.
| Author | : Christopher Heil |
| Publisher | : |
| Total Pages | : 93 |
| Release | : 1997 |
| Genre | : Banach spaces |
| ISBN | : |
Download A Basis Theory Primer Book in PDF, ePub and Kindle
| Author | : Joseph Alexander Hughes |
| Publisher | : |
| Total Pages | : 28 |
| Release | : 1972 |
| Genre | : Bases (Linear topological spaces) |
| ISBN | : |
Download An Introduction to Basis Theory Book in PDF, ePub and Kindle
| Author | : Aref Jeribi |
| Publisher | : Springer Nature |
| Total Pages | : 509 |
| Release | : 2021-07-28 |
| Genre | : Mathematics |
| ISBN | : 981162528X |
Download Perturbation Theory for Linear Operators Book in PDF, ePub and Kindle
This book discusses the important aspects of spectral theory, in particular, the completeness of generalised eigenvectors, Riesz bases, semigroup theory, families of analytic operators, and Gribov operator acting in the Bargmann space. Recent mathematical developments of perturbed non-self-adjoint operators are discussed with the completeness of the space of generalized eigenvectors, bases on Hilbert and Banach spaces and asymptotic behavior of the eigenvalues of these operators. Most results in the book are motivated by physical problems, such as the perturbation method for sound radiation by a vibrating plate in a light fluid, Gribov operator in Bargmann space and other applications in mathematical physics and mechanics. This book is intended for students, researchers in the field of spectral theory of linear non self-adjoint operators, pure analysts and mathematicians.
| Author | : Daniel J. Greenhoe |
| Publisher | : Abstract Space Publishing |
| Total Pages | : 451 |
| Release | : 2013-08-21 |
| Genre | : Mathematics |
| ISBN | : 0983801134 |
Download Wavelet Structure and Design Book in PDF, ePub and Kindle
This book presents the structure of wavelets, principles of wavelet design, and mathematical structure that supports wavelet theory.
| Author | : Jason L. Speyer |
| Publisher | : SIAM |
| Total Pages | : 316 |
| Release | : 2010-05-13 |
| Genre | : Mathematics |
| ISBN | : 0898716942 |
Download Primer on Optimal Control Theory Book in PDF, ePub and Kindle
A rigorous introduction to optimal control theory, which will enable engineers and scientists to put the theory into practice.
| Author | : Benson Farb |
| Publisher | : Princeton University Press |
| Total Pages | : 490 |
| Release | : 2012 |
| Genre | : Mathematics |
| ISBN | : 0691147949 |
Download A Primer on Mapping Class Groups Book in PDF, ePub and Kindle
The study of the mapping class group Mod(S) is a classical topic that is experiencing a renaissance. It lies at the juncture of geometry, topology, and group theory. This book explains as many important theorems, examples, and techniques as possible, quickly and directly, while at the same time giving full details and keeping the text nearly self-contained. The book is suitable for graduate students. A Primer on Mapping Class Groups begins by explaining the main group-theoretical properties of Mod(S), from finite generation by Dehn twists and low-dimensional homology to the Dehn-Nielsen-Baer theorem. Along the way, central objects and tools are introduced, such as the Birman exact sequence, the complex of curves, the braid group, the symplectic representation, and the Torelli group. The book then introduces Teichmüller space and its geometry, and uses the action of Mod(S) on it to prove the Nielsen-Thurston classification of surface homeomorphisms. Topics include the topology of the moduli space of Riemann surfaces, the connection with surface bundles, pseudo-Anosov theory, and Thurston's approach to the classification.
| Author | : Ole Christensen |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 472 |
| Release | : 2002-12-13 |
| Genre | : Mathematics |
| ISBN | : 9780817642952 |
Download An Introduction to Frames and Riesz Bases Book in PDF, ePub and Kindle
The Applied and Numerical Harmonic Analysis ( ANHA) book series aims to provide the engineering, mathematical, and scientific communities with significant developments in harmonic analysis, ranging from abstract har monic analysis to basic applications. The title of the series reflects the im portance of applications and numerical implementation, but richness and relevance of applications and implementation depend fundamentally on the structure and depth of theoretical underpinnings. Thus, from our point of view, the interleaving of theory and applications and their creative symbi otic evolution is axiomatic. Harmonic analysis is a wellspring of ideas and applicability that has flour ished, developed, and deepened over time within many disciplines and by means of creative cross-fertilization with diverse areas. The intricate and fundamental relationship between harmonic analysis and fields such as sig nal processing, partial differential equations (PDEs), and image processing is reflected in our state of the art ANHA series. Our vision of modern harmonic analysis includes mathematical areas such as wavelet theory, Banach algebras, classical Fourier analysis, time frequency analysis, and fractal geometry, as well as the diverse topics that impinge on them.
| Author | : Ammar Khanfer |
| Publisher | : Springer Nature |
| Total Pages | : 450 |
| Release | : 2023-12-24 |
| Genre | : Mathematics |
| ISBN | : 9819930294 |
Download Fundamentals of Functional Analysis Book in PDF, ePub and Kindle
This textbook offers a comprehensive exploration of functional analysis, covering a wide range of topics. With over 150 solved examples and more than 320 problems, the book is designed to be both motivational and user-friendly for students for senior undergraduate and graduate courses in mathematics, providing clear and thorough explanations of all concepts. The second volume in a three-part series, this book delves into normed spaces, linear functionals, locally convex spaces, Banach spaces, Hilbert spaces, topology of Banach spaces, operators on Banach spaces and geometry of Banach spaces. The text is written in a clear and engaging style, making it ideal for independent study. It offers a valuable source for students seeking a deeper understanding of functional analysis, and provides a solid understanding of the topic.
| Author | : Götz E. Pfander |
| Publisher | : Birkhäuser |
| Total Pages | : 532 |
| Release | : 2015-12-08 |
| Genre | : Mathematics |
| ISBN | : 3319197495 |
Download Sampling Theory, a Renaissance Book in PDF, ePub and Kindle
Reconstructing or approximating objects from seemingly incomplete information is a frequent challenge in mathematics, science, and engineering. A multitude of tools designed to recover hidden information are based on Shannon’s classical sampling theorem, a central pillar of Sampling Theory. The growing need to efficiently obtain precise and tailored digital representations of complex objects and phenomena requires the maturation of available tools in Sampling Theory as well as the development of complementary, novel mathematical theories. Today, research themes such as Compressed Sensing and Frame Theory re-energize the broad area of Sampling Theory. This volume illustrates the renaissance that the area of Sampling Theory is currently experiencing. It touches upon trendsetting areas such as Compressed Sensing, Finite Frames, Parametric Partial Differential Equations, Quantization, Finite Rate of Innovation, System Theory, as well as sampling in Geometry and Algebraic Topology.
