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Engineering Applications of Correlation and Spectral Analysis
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Julius Bendat, Allan G Piersol
Expanded to cover more advanced applications where statistical properties of data can be nonstationary and the physical systems nonlinear as opposed to only linear. Stresses the practical use and interpretation of analyzed data to solve problems. Special attention is given to bias and random errors involved in desired estimates and the proper ...
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The Spectral Analysis of Time Series
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Lambert H Koopmans
To tailor time series models to a particular physical problem and to follow the working of various techniques for processing and analyzing data, one must understand the basic theory of frequency domain (spectral) analysis of time series. This book provides an introduction to the techniques and theories of spectral analysis of time series. With ...
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Surgical Anatomy and Technique: A Pocket Manual
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Yoshimi Saito, Lee John Skandalakis, John E Skandalakis
The success of any operative procedure is dependent, in part, on the surgeon's knowledge of anatomy. From the first incision to closure of the wound, it is essential to understand the fascial layers, blood supply, lymphatic drainage, nerves, muscles and organs relevant to the operative procedure. "Surgical Anatomy and Technique: A Pocket Manual" ...
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Wavelets Through a Looking Glass: The World of the Spectrum
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Ola Bratteli
This book, combining wavelets and the world of the spectrum, focuses on recent developments in wavelet theory, emphasizing fundamental and relatively timeless techniques that have a geometric and spectral-theoretic flavor. The exposition is clearly motivated and unfolds systematically, aided by numerous graphics. Key features of the book include: ...
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Spectral Theory of Operators in Hilbert Space
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K. O. Friedrichs
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Chebyshev & Fourier Spectral Methods
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J P Boyd
Completely revised text focuses on use of spectral methods to solve boundary value, eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions, as well as cardinal functions, linear eigenvalue problems, matrix-solving methods, coordinate transformations, spherical and ...
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Spectral theory.
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Edgar R. Lorch
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Spectral Theory of Random Schrdinger Operators
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J LaCroix, R Carmona
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Introduction to Hilbert space and the theory of spectral multiplicity.
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Paul R. Halmos
This text gives an introduction to Hilbert Space and the theory of spectral multiplicity.
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Discrete Spectral Synthesis and Its Applications
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Laszls Szikelyhidi, Laszlo Szekelyhidi, Lszl Szkelyhidi
Spectral analysis and spectral synthesis deal with the description of translation invariant function spaces over locally compact Abelian groups. Translation invariant function spaces appear in several different contexts for example linear ordinary and partial difference and differential equations with constant coefficients, theory of group ...
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Spectral Theory of Infinite-Area Hyperbolic Surfaces
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David Borthwick
This book is a self-contained monograph on spectral theory for non-compact Riemann surfaces, focused on the infinite-volume case. A hyperbolic surface of infinite volume provides for a qualitatively different context from either the compact or finite-volume cases, a context in which spectral theory of the Laplacian operator emerges as scattering ...
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Spectral theory of guided waves
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Silbergleit, Kopilevich
"Spectral Theory of Guided Waves" represents a distillation of the authors' (and others) efforts over several years to rigorously discuss many of the properties of guided waves. The bulk of the book deals with the properties of eigenwaves of regular waveguiding systems and relates these to a variety of physical situations and applications to ...
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Structured Ring Spectra
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Andrew Baker (Editor), Birgit Richter (Editor), J W S Cassels (Editor)
Within algebraic topology, the prominent role of multiplicative cohomology theories has led to a great deal of foundational research on ring spectra and in the 1990s this gave rise to significant new approaches to constructing categories of spectra and ring-like objects in them. This book contains some important new contributions to the theory of ...
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Spectral Methods for Incompressible Viscous Flow
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Roger Peyret
This well-written book explains the theory of spectral methods and their application to the computation of viscous incompressible fluid flows in clear and elementary terms. It begins with an introduction to the fundamentals of spectral methods and then moves on to cover, in particular, the Fourier and Chebyshev methods. Examples are included. ...
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A Practical Guide to Pseudospectral Methods
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Bengt Fornberg, M J Ablowitz (Editor), S H Davis (Editor)
Partial differential equations arise in almost all areas of science, engineering, modeling, and forecasting. During the last two decades pseudospectral methods have emerged as successful alternatives to better known computational procedures, (e.g. finite difference and finite element methods of numerical solution), in several key application areas ...
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Integration and Probability
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Paul Malliavin, L Kay (Translator)
This book is designed to be an introduction to analysis with the proper mix of abstract theories and concrete problems. It starts with general measure theory, treats Borel and Radon measures (with particular attention paid to Lebesgue measure) and introduces the reader to Fourier analysis in Euclidean spaces with a treatment of Sobolev spaces, ...
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A Short Course on Spectral Theory
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William Arveson
This book presents the basic tools of modern analysis within the context of the fundamental problem of operator theory: to calculate spectra of specific operators on infinite dimensional spaces, especially operators on Hilbert spaces. The tools are diverse, and they provide the basis for more refined methods that allow one to approach problems ...
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Spectral Methods: Evolution to Complex Geometries and Applications to Fluid Dynamics
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Claudio G Canuto, M Yousuff Hussaini, Alfio M Quarteroni
Since the publication of "Spectral Methods in Fluid Dynamics", spectral methods, particularly in their multidomain version, have become firmly established as a mainstream tool for scientific and engineering computation. While retaining the tight integration between the theoretical and practical aspects of spectral methods that was the hallmark of ...
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Spectral Methods for Time-Dependent Problems
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D Gottleib, Jan Hesthaven, Sigal Gottlieb
Spectral methods are well-suited to solve problems modeled by time-dependent partial differential equations: they are fast, efficient and accurate and widely used by mathematicians and practitioners. This class-tested introduction, the first on the subject, is ideal for graduate courses, or self-study. The authors describe the basic theory of ...
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Spectral Theory for Random and Nonautonomous Parabolic Equations and Applications
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Janusz Mierczynski, Wenxian Shen
Presenting a unified approach to linear theory, "Spectral Theory for Random and Nonautonomous Parabolic Equations and Applications" offers a clear and self-contained account of spectral theory, which serves as a basic tool for nonlinear problems. The book provides understanding of the effect of time and spatial variations on the dynamics of ...
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Introduction to Spectral Theory: With Applications to Schrdinger Operators
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by
Peter D Hislop, I M Sigal
The intention of this book is to introduce students to active areas of research in mathematical physics in a rather direct way minimizing the use of abstract mathematics. The main features are geometric methods in spectral analysis, exponential decay of eigenfunctions, semi-classical analysis of bound state problems, and semi-classical analysis of ...
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Spectral and Scattering Theory
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Alexander G Ramm (Editor)
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Determining Spectra in Quantum Theory
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Maddaly Krishna, Michael Demuth
The spectral theory of Schrodinger operators, in particular those with random potentials, continues to be a very active field of research. This work focuses on various known criteria in the spectral theory of selfadjoint operators in order to identify the spectrum and its components a la Lebesgue decomposition. It contains a well-developed ...
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Introduction to Spectral Analysis
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by
Petre Stoica, Randolph Moses
Appropriate for a first course on Spectral Analysis at the graduate or advanced undergraduate level. This text presents an introduction to spectral analysis that is designed for either course use or self-study. Clear and concise in approach, it covers both classical and modern approaches of spectral analysis. Topics covered include nonparametric ...
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Spectral Analysis for Physical Applications
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by
Donald B Percival, Andrew T Walden
This book is an up-to-date introduction to univariate spectral analysis at the graduate level, which reflects a new scientific awareness of spectral complexity, as well as the widespread use of spectral analysis on digital computers with considerable computational power. The text provides theoretical and computational guidance on the available ...
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