The Spectral Link

The Spectral Link PDF Author: Thomas Ligotti
Publisher:
ISBN: 9781596066502
Category : Horror tales
Languages : en
Pages : 0

Book Description
The unnamed narrator of "Metaphysica Morum" seeks suicide, yet delays until he can subvert the optimism of his fugitive therapist. Equally anonymous, the young narrator of "The Small People" finds a growing horror in the encroachment of toy-like beings that bring an unsettling enlightenment about the shabbiness of daily life and the true nature of his parents

Introduction to Spectral Theory

Introduction to Spectral Theory PDF Author: P.D. Hislop
Publisher: Springer Science & Business Media
ISBN: 146120741X
Category : Technology & Engineering
Languages : en
Pages : 331

Book Description
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 resonance. A new geometric point of view along with new techniques are brought out in this book which have both been discovered within the past decade. This book is designed to be used as a textbook, unlike the competitors which are either too fundamental in their approach or are too abstract in nature to be considered as texts. The authors' text fills a gap in the marketplace.

Spectral Characters

Spectral Characters PDF Author: Sarah Balkin
Publisher: University of Michigan Press
ISBN: 0472131486
Category : Performing Arts
Languages : en
Pages : 199

Book Description
Theater’s materiality and reliance on human actors has traditionally put it at odds with modernist principles of aesthetic autonomy and depersonalization. Spectral Characters argues that modern dramatists in fact emphasized the extent to which humans are fictional, made and changed by costumes, settings, props, and spoken dialogue. Examining work by Ibsen, Wilde, Strindberg, Genet, Kopit, and Beckett, the book takes up the apparent deadness of characters whose selves are made of other people, whose thoughts become exteriorized communication technologies, and whose bodies merge with walls and furniture. The ghostly, vampiric, and telepathic qualities of these characters, Sarah Balkin argues, mark a new relationship between the material and the imaginary in modern theater. By considering characters whose bodies respond to language, whose attempts to realize their individuality collapse into inanimacy, and who sometimes don’t appear at all, the book posits a new genealogy of modernist drama that emphasizes its continuities with nineteenth-century melodrama and realism.

The Dirac Spectrum

The Dirac Spectrum PDF Author: Nicolas Ginoux
Publisher: Springer
ISBN: 3642015700
Category : Mathematics
Languages : en
Pages : 168

Book Description
This volume surveys the spectral properties of the spin Dirac operator. After a brief introduction to spin geometry, it presents the main known estimates for Dirac eigenvalues on compact manifolds with or without boundaries.

Spectral Methods

Spectral Methods PDF Author: Jie Shen
Publisher: Springer Science & Business Media
ISBN: 3540710418
Category : Mathematics
Languages : en
Pages : 481

Book Description
Along with finite differences and finite elements, spectral methods are one of the three main methodologies for solving partial differential equations on computers. This book provides a detailed presentation of basic spectral algorithms, as well as a systematical presentation of basic convergence theory and error analysis for spectral methods. Readers of this book will be exposed to a unified framework for designing and analyzing spectral algorithms for a variety of problems, including in particular high-order differential equations and problems in unbounded domains. The book contains a large number of figures which are designed to illustrate various concepts stressed in the book. A set of basic matlab codes has been made available online to help the readers to develop their own spectral codes for their specific applications.

Spectral Graph Theory

Spectral Graph Theory PDF Author: Fan R. K. Chung
Publisher: American Mathematical Soc.
ISBN: 0821803158
Category : Mathematics
Languages : en
Pages : 228

Book Description
This text discusses spectral graph theory.

A Short Course on Spectral Theory

A Short Course on Spectral Theory PDF Author: William Arveson
Publisher: Springer Science & Business Media
ISBN: 0387953000
Category : Mathematics
Languages : en
Pages : 140

Book Description
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 that go well beyond the computation of spectra: the mathematical foundations of quantum physics, noncommutative K-theory, and the classification of simple C*-algebras being three areas of current research activity which require mastery of the material presented here.

Periodically Correlated Random Sequences

Periodically Correlated Random Sequences PDF Author: Harry L. Hurd
Publisher: John Wiley & Sons
ISBN: 9780470182826
Category : Mathematics
Languages : en
Pages : 384

Book Description
Uniquely combining theory, application, and computing, this book explores the spectral approach to time series analysis The use of periodically correlated (or cyclostationary) processes has become increasingly popular in a range of research areas such as meteorology, climate, communications, economics, and machine diagnostics. Periodically Correlated Random Sequences presents the main ideas of these processes through the use of basic definitions along with motivating, insightful, and illustrative examples. Extensive coverage of key concepts is provided, including second-order theory, Hilbert spaces, Fourier theory, and the spectral theory of harmonizable sequences. The authors also provide a paradigm for nonparametric time series analysis including tests for the presence of PC structures. Features of the book include: An emphasis on the link between the spectral theory of unitary operators and the correlation structure of PC sequences A discussion of the issues relating to nonparametric time series analysis for PC sequences, including estimation of the mean, correlation, and spectrum A balanced blend of historical background with modern application-specific references to periodically correlated processes An accompanying Web site that features additional exercises as well as data sets and programs written in MATLAB® for performing time series analysis on data that may have a PC structure Periodically Correlated Random Sequences is an ideal text on time series analysis for graduate-level statistics and engineering students who have previous experience in second-order stochastic processes (Hilbert space), vector spaces, random processes, and probability. This book also serves as a valuable reference for research statisticians and practitioners in areas of probability and statistics such as time series analysis, stochastic processes, and prediction theory.

Spectral Theory

Spectral Theory PDF Author: David Borthwick
Publisher: Springer Nature
ISBN: 3030380025
Category : Mathematics
Languages : en
Pages : 339

Book Description
This textbook offers a concise introduction to spectral theory, designed for newcomers to functional analysis. Curating the content carefully, the author builds to a proof of the spectral theorem in the early part of the book. Subsequent chapters illustrate a variety of application areas, exploring key examples in detail. Readers looking to delve further into specialized topics will find ample references to classic and recent literature. Beginning with a brief introduction to functional analysis, the text focuses on unbounded operators and separable Hilbert spaces as the essential tools needed for the subsequent theory. A thorough discussion of the concepts of spectrum and resolvent follows, leading to a complete proof of the spectral theorem for unbounded self-adjoint operators. Applications of spectral theory to differential operators comprise the remaining four chapters. These chapters introduce the Dirichlet Laplacian operator, Schrödinger operators, operators on graphs, and the spectral theory of Riemannian manifolds. Spectral Theory offers a uniquely accessible introduction to ideas that invite further study in any number of different directions. A background in real and complex analysis is assumed; the author presents the requisite tools from functional analysis within the text. This introductory treatment would suit a functional analysis course intended as a pathway to linear PDE theory. Independent later chapters allow for flexibility in selecting applications to suit specific interests within a one-semester course.

Spectral Methods

Spectral Methods PDF Author: Claudio Canuto
Publisher: Springer Science & Business Media
ISBN: 3540307265
Category : Science
Languages : en
Pages : 585

Book Description
Since the publication of "Spectral Methods in Fluid Dynamics" 1988, spectral methods have become firmly established as a mainstream tool for scientific and engineering computation. The authors of that book have incorporated into this new edition the many improvements in the algorithms and the theory of spectral methods that have been made since then. This latest book retains the tight integration between the theoretical and practical aspects of spectral methods, and the chapters are enhanced with material on the Galerkin with numerical integration version of spectral methods. The discussion of direct and iterative solution methods is also greatly expanded.