Download or read book Quasihomogeneous Distributions written by O. von Grudzinski and published by Elsevier. This book was released on 1991-01-24 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a systematic exposition of the basics of the theory of quasihomogeneous (in particular, homogeneous) functions and distributions (generalized functions). A major theme is the method of taking quasihomogeneous averages. It serves as the central tool for the study of the solvability of quasihomogeneous multiplication equations and of quasihomogeneous partial differential equations with constant coefficients. Necessary and sufficient conditions for solvability are given. Several examples are treated in detail, among them the heat and the Schrödinger equation. The final chapter is devoted to quasihomogeneous wave front sets and their application to the description of singularities of quasihomogeneous distributions, in particular to quasihomogeneous fundamental solutions of the heat and of the Schrödinger equation.
Download or read book Theory of P adic Distributions written by S. Albeverio and published by Cambridge University Press. This book was released on 2010-03-18 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: A wide-ranging 2010 survey of new and important topics in p-adic analysis for researchers and graduate students.
Download or read book Fundamental Solutions of Linear Partial Differential Operators written by Norbert Ortner and published by Springer. This book was released on 2015-08-05 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides the theoretical foundations needed for the construction of fundamental solutions and fundamental matrices of (systems of) linear partial differential equations. Many illustrative examples also show techniques for finding such solutions in terms of integrals. Particular attention is given to developing the fundamentals of distribution theory, accompanied by calculations of fundamental solutions. The main part of the book deals with existence theorems and uniqueness criteria, the method of parameter integration, the investigation of quasihyperbolic systems by means of Fourier and Laplace transforms, and the representation of fundamental solutions of homogeneous elliptic operators with the help of Abelian integrals. In addition to rigorous distributional derivations and verifications of fundamental solutions, the book also shows how to construct fundamental solutions (matrices) of many physically relevant operators (systems), in elasticity, thermoelasticity, hexagonal/cubic elastodynamics, for Maxwell’s system and others. The book mainly addresses researchers and lecturers who work with partial differential equations. However, it also offers a valuable resource for students with a solid background in vector calculus, complex analysis and functional analysis.
Download or read book The Boundary Domain Integral Method for Elliptic Systems written by Andreas Pomp and published by Springer. This book was released on 2006-11-14 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph gives a description of all algorithmic steps and a mathematical foundation for a special numerical method, namely the boundary-domain integral method (BDIM). This method is a generalization of the well-known boundary element method, but it is also applicable to linear elliptic systems with variable coefficients, especially to shell equations. The text should be understandable at the beginning graduate-level. It is addressed to researchers in the fields of numerical analysis and computational mechanics, and will be of interest to everyone looking at serious alternatives to the well-established finite element methods.
Download or read book Revue Roumaine de Math matiques Pures Et Appliqu es written by and published by . This book was released on 1993 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Reviews written by and published by . This book was released on 1992 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Selected Works of Emil Wolf written by Emil Wolf and published by World Scientific. This book was released on 2001 with total page 673 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable book presents most of the important papers of Emil Wolf, published over half-a-century. It covers chiefly diffraction theory (especially the analysis of the focal region), the theory of direct and inverse scattering, phase-space methods in quantum mechanics, the foundation of radiometry, phase conjugation and coherence theory. Several papers which have become classics of the optical literature are included, such as those on Wolf''s rigorous formulation of the theory of partial coherence and partial polarization, the introduction of diffraction tomography, and his discovery of correlation-induced shifts of spectral lines (often called the Wolf effect). There are also papers dealing with the historical development of optics and some review articles. Contents: Diffraction; Radiation Theory and String Excitations; Coherence and Statistical Optics; Scattering; Foundations of Radiometry; Articles of Historical Interest; Analyticity, Causality and Dispersion Relations; Scientists Who Created the World of Optics; The Development of Optical Coherence Theory; Recollections; Commencement Remarks; Publications of Emil Wolf. Readership: Physicists and engineers, particularly optical scientists and optical engineers.
Download or read book Encyclopedia of Modern Optics written by Bob D. Guenther and published by Academic Press. This book was released on 2018-02-14 with total page 2253 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Encyclopedia of Modern Optics, Second Edition, Five Volume Set provides a wide-ranging overview of the field, comprising authoritative reference articles for undergraduate and postgraduate students and those researching outside their area of expertise. Topics covered include classical and quantum optics, lasers, optical fibers and optical fiber systems, optical materials and light-emitting diodes (LEDs). Articles cover all subfields of optical physics and engineering, such as electro-optical design of modulators and detectors. This update contains contributions from international experts who discuss topics such as nano-photonics and plasmonics, optical interconnects, photonic crystals and 2D materials, such as graphene or holy fibers. Other topics of note include solar energy, high efficiency LED’s and their use in illumination, orbital angular momentum, quantum optics and information, metamaterials and transformation optics, high power fiber and UV fiber lasers, random lasers and bio-imaging. Addresses recent developments in the field and integrates concepts from fundamental physics with applications for manufacturing and engineering/design Provides a broad and interdisciplinary coverage of specialist areas Ensures that the material is appropriate for new researchers and those working in a new sub-field, as well as those in industry Thematically arranged and alphabetically indexed, with cross-references added to facilitate ease-of-use
Download or read book Statistical Decision Rules and Optimal Inference written by N. N. Cencov and published by American Mathematical Soc.. This book was released on 2000-04-19 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: None available in plain English.
Download or read book Linear and Quasi linear Equations of Parabolic Type written by Olʹga A. Ladyženskaja and published by American Mathematical Soc.. This book was released on 1988 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: Equations of parabolic type are encountered in many areas of mathematics and mathematical physics, and those encountered most frequently are linear and quasi-linear parabolic equations of the second order. In this volume, boundary value problems for such equations are studied from two points of view: solvability, unique or otherwise, and the effect of smoothness properties of the functions entering the initial and boundary conditions on the smoothness of the solutions.
Download or read book Optical Coherence and Quantum Optics written by Leonard Mandel and published by Cambridge University Press. This book was released on 1995-09-29 with total page 1200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a systematic account of optical coherence theory within the framework of classical optics, as applied to such topics as radiation from sources of different states of coherence, foundations of radiometry, effects of source coherence on the spectra of radiated fields, coherence theory of laser modes, and scattering of partially coherent light by random media. The book starts with a full mathematical introduction to the subject area and each chapter concludes with a set of exercises. The authors are renowned scientists and have made substantial contributions to many of the topics treated in the book. Much of the book is based on courses given by them at universities, scientific meetings and laboratories throughout the world. This book will undoubtedly become an indispensable aid to scientists and engineers concerned with modern optics, as well as to teachers and graduate students of physics and engineering.
Download or read book General Index Generalregister written by S. Flügge and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 759 pages. Available in PDF, EPUB and Kindle. Book excerpt: Das vielbändige Handbuch der Physik, herausgegeben von Siegfried Flügge, ist wesentlicher Bestand in jeder einschlägigen Bibliothek. Mit seinen herausragenden, teilweise epochemachenden Beiträgen, den umfassenden Überblicken und zahllosen Faktensammlungen stellt es weiterhin eine erstklassige Referenzquelle und ein unerschöpfliches Nachschlagewerk dar. Das nunmehr vorliegende, lange verlangte Generalregister vervollständigt das Handbuch und macht über gemeinsame Autoren- und Sachregister den Inhalt aller 54 Bände auf einfache Weise zugänglich. Damit gehört das Generalregister in die Bibliothek jedes Physikinstitutes als Orientierungshilfe und unentbehrliches Arbeitsmittel.
Download or read book Advances in Information Optics and Photonics written by Ari T. Friberg and published by SPIE Press. This book was released on 2008 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this age of the photon, information optics and photonics represent the key technologies to sustain our knowledge-based society. New concepts in classical and quantum-entangled light, coherent interaction with matter, and novel materials and processes have led to remarkable advances in today's information science and technology. The ICO is closely involved with information optics, as exemplified by the ICO topical meeting on Optoinformatics / Information Photonics (St. Petersburg, Russia, 2006), the ICO/ICTP Winter College on Quantum and Classical Aspects of Information Optics (Trieste, Italy, 2006), and the many ICO Prizes recently awarded on outstanding contributions on these topics. This book is in part based on these ICO activities.
Download or read book Proceedings of the Fourth Atmospheric Radiation Measurement ARM Science Team Meeting written by and published by . This book was released on 1994 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Izvestiia written by Akademii͡a nauk SSSR. and published by . This book was released on 1981 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Oceanic and Anthropogenic Controls of Life in the Pacific Ocean written by V.I. Ilyichev and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a collection of original, multidisciplinary papers written by leading scientists from the various countries of the Pacific rim. The major topics covered are the origins of life in the marine environment; the changing distribution of biological parameters; hydrophysical and hydrochemical processes; and the exploitation of ocean resources and the ensuing consequences. The material is divided into five parts. The Introduction (Part I) gives a comprehensive overview of the research activities of the IOC and related organisations. The following four parts of the book comprise a number of survey papers which deal with specific aspects of marine science in the Pacific Ocean. For researchers and decision makers interested in marine and environmental science with an emphasis on the Pacific Ocean.
Download or read book Analytical Characterization of Aluminum Steel and Superalloys written by D. Scott MacKenzie and published by CRC Press. This book was released on 2005-10-10 with total page 768 pages. Available in PDF, EPUB and Kindle. Book excerpt: This one-of-a-kind reference examines conventional and advanced methodologies for the quantitative evaluation of properties and characterization of microstructures in metals. It presents methods for uncovering valuable information including precipitate mechanisms, kinetics, stability, crystallographic orientation, the effects of thermo-mechanical p
