Tag: Spectral

Free Download Excitation of Atoms and Broadening of Spectral Lines by Igor I. Sobel’man , Leonid A. Vainshtein , Evgenii A. Yukov
English | PDF | 1995 | 320 Pages | ISBN : 3540586865 | 22.8 MB
Excitation of Atoms and Broadening of Spectral Lines povides a survey of elementary processes and mechanisms. It presents useful and relatively simple methods of approximation for calculating effective cross sections, giving a number of approximate formulas. Extensive tables list cross sections and rate coefficients for various atoms and elementary processes. The tables of cross sections were recalculated using an updated version of the computer code ATOM. Some material reflecting the recent progress in the field has been added to this new printing.

Free Download Spectral Theory of Nonautonomous Dynamical Systems and Applications
English | 2024 | ISBN: 9819755190 | 200 Pages | PDF EPUB (True) | 18 MB
The main challenge in the study of nonautonomous phenomena is to understand the very complicated dynamical behaviour both as a scientific and mathematical problem. The theory of nonautonomous dynamical systems has experienced a renewed and steadily growing interest in the last twenty years, stimulated also by synergetic effects of disciplines which have developed relatively independent for some time such as topological skew product, random dynamical systems, finite-time dynamics and control systems. The book provides new insights in many aspects of the qualitative theory of nonautonomous dynamical systems including the spectral theory, the linearization theory, the bifurcation theory.

Free Download Jon Atli Benediktsson, "Spectral-Spatial Classififcation of Hyperspectral Remote Sensing Images"
English | ISBN: 1608078124 | 2015 | 284 pages | PDF | 26 MB
This comprehensive new resource brings you up to date on recent developments in the classification of hyperspectral images using both spectral and spatial information, including advanced statistical approaches and methods. The inclusion of spatial information to traditional approaches for hyperspectral classification has been one of the most active and relevant innovative lines of research in remote sensing during recent years. This book gives you insight into several important challenges when performing hyperspectral image classification related to the imbalance between high dimensionality and limited availability of training samples, or the presence of mixed pixels in the data. This book also shows you how to integrate spatial and spectral information in order to take advantage of the benefits that both sources of information provide.

Free Download Spectral Methods in Infinite-Dimensional Analysis By Y. M. Berezansky, Y. G. Kondratiev (auth.)
1995 | 1010 Pages | ISBN: 9401042276 | PDF | 24 MB
The Russian edition of this book appeared 5 years ago. Since that time, many results have been improved upon and new approaches to the problems investigated in the book have appeared. But the greatest surprise for us was to discover that there exists a large group of mathematicians working in the area of the so-called White Noise Analysis which is closely connected with the essential part of our book, namely, with the theory of generalized functions of infinitely many variables. The first papers dealing with White Noise Analysis were written by T. Hida in Japan in 1975. Later, this analysis was devel oped intensively in Japan, Germany, U.S.A., Taipei, and in other places. The related problems of infinite-dimensional analysis have been studied in Kiev since 1967, and the theory of generalized functions of infinitely many variables has been in vestigated since 1973. However, due to the political system in the U.S.S.R., contact be tween Ukrainian and foreign mathematicians was impossible for a long period of time. This is why, to our great regret, only at the end of 1988 did one of the authors meet L. Streit who told him about the existence of White Noise Analysis. And it become clear that many results in these two theories coincide and that, in fact, there exists a single theory and not two distinct ones.

Free Download Excitation of Atoms and Broadening of Spectral Lines By Professor Dr. Igor I. Sobel’man, Professor Leonid A. Vainshtein, Dr. Evgenii A. Yukov (auth.)
1995 | 310 Pages | ISBN: 3540586865 | PDF | 7 MB
Excitation of Atoms and Broadening of Spectral Lines povides a survey of elementary processes and mechanisms. It presents useful and relatively simple methods of approximation for calculating effective cross sections, giving a number of approximate formulas. Extensive tables list cross sections and rate coefficients for various atoms and elementary processes. For this second edition several sections and formulas have been revised substantially. The tables of cross sections have been recalculated using the updated version of the computer code ATOM. Some material reflecting the recent progress in the field has been added.

Free Download Spectral Theory of Approximation Methods for Convolution Equations By Roland Hagen, Steffen Roch, Bernd Silbermann (auth.)
1995 | 376 Pages | ISBN: 3034898916 | PDF | 23 MB
The aim of the present book is to propose a new algebraic approach to the study of norm stability of operator sequences which arise, for example, via discretization of singular integral equations on composed curves. A wide variety of discretization methods, including quadrature rules and spline or wavelet approximations, is covered and studied from a unique point of view. The approach takes advantage of the fruitful interplay between approximation theory, concrete operator theory, and local Banach algebra techniques. The book is addressed to a wide audience, in particular to mathematicians working in operator theory and Banach algebras as well as to applied mathematicians and engineers interested in theoretical foundations of various methods in general use, particularly splines and wavelets. The exposition contains numerous examples and exercises. Students will find a large number of suggestions for their own investigations.

Free Download Spectral Theory of Differential Operators: Self-Adjoint Differential Operators By V. A. Il’in (auth.)
1995 | 390 Pages | ISBN: 0306110377 | PDF | 9 MB
In this fully-illustrated textbook, the author examines the spectral theory of self-adjoint elliptic operators. Chapters focus on the problems of convergence and summability of spectral decompositions about the fundamental functions of elliptic operators of the second order. The author’s work offers a novel method for estimation of the remainder term of a spectral function and its Riesz means without recourse to the traditional Carleman technique and Tauberian theorem apparatus.

Free Download On Spectral Theory of Elliptic Operators By Yuri Egorov, Vladimir Kondratiev (auth.)
1996 | 334 Pages | ISBN: 3034898754 | PDF | 7 MB
It is well known that a wealth of problems of different nature, applied as well as purely theoretic, can be reduced to the study of elliptic equations and their eigen-values. During the years many books and articles have been published on this topic, considering spectral properties of elliptic differential operators from different points of view. This is one more book on these properties. This book is devoted to the study of some classical problems of the spectral theory of elliptic differential equations. The reader will find hardly any intersections with the books of Shubin [Sh] or Rempel-Schulze [ReSch] or with the works cited there. This book also has no general information in common with the books by Egorov and Shubin [EgShu], which also deal with spectral properties of elliptic operators. There is nothing here on oblique derivative problems; the reader will meet no pseudodifferential operators. The main subject of the book is the estimates of eigenvalues, especially of the first one, and of eigenfunctions of elliptic operators. The considered problems have in common the approach consisting of the application of the variational principle and some a priori estimates, usually in Sobolev spaces. In many cases, impor tant for physics and mechanics, as well as for geometry and analysis, this rather elementary approach allows one to obtain sharp results.

Free Download Hilan Bensusan, "Memory Assemblages: Spectral Realism and the Logic of Addition"
English | ISBN: 1350460303 | 2024 | 264 pages | PDF | 5 MB
Making the claim that reality is more like memory than a permanent substance, this original work draws on Derrida and Malabou to suggest a picture of the world as an assemblage of spectral resonances and disseminations.

Free Download Jonathan Kirby, "Spectral Methods for the Estimation of the Effective Elastic Thickness of the Lithosphere"
English | 2022 | ISBN: 3031108604, 3031108639 | PDF | pages: 472 | 17.4 mb
Although several excellent works exist that describe the effective elastic thickness (Te) of the lithosphere―its theory, significance and relevance to Earth sciences in general―none cover the details of the methods for its estimation. This book brings together the disparate knowledge required to estimate Te in one handy volume: signal processing, harmonic analysis, civil engineering, and foundational mathematics and physics, in addition to the relevant geophysics and, to a lesser extent, geology. Its two principal focus areas are spectral estimation, covering various approaches to estimating the admittance and coherence between gravity and topography using Slepian multitapers and fan wavelets; and algebraic and finite difference solutions of the plate bending partial differential equation in a variety of geological settings. This book would be suitable for postgraduate students beginning their research, up to faculty professors interested in diversifying their skills.