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 #  AuthorTitleAccn#YearItem Type Claims
11 Blank, Jir?? Hilbert Space Operators in Quantum Physics I05795 2008 eBook  
12 Terziogammalu, T Advances in the Theory of Fr??chet Spaces I03867 1989 eBook  
13 Singh, S.P Approximation Theory, Wavelets and Applications I03623 1995 eBook  
14 Berezansky, Yu.M Spectral Methods in Infinite-Dimensional Analysis I03257 1995 eBook  
15 Rodino, Luigi Microlocal Analysis and Spectral Theory I02671 1997 eBook  
16 Driebe, Dean J Fully Chaotic Maps and Broken Time Symmetry I01893 1999 eBook  
17 Boutet de Monvel, Anne Algebraic and Geometric Methods in Mathematical Physics I01318 1996 eBook  
18 Katavolos, A Operator Algebras and Applications I01249 1997 eBook  
19 Nirmala Prakash Mathematical perspectives on theoretical physics : A journey from black holes to superstrings 020478 2003 Book  
20 Hanson, George W. Operator theory for electromagnetics: An introduction 017925 2002 Book  
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11.    
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TitleHilbert Space Operators in Quantum Physics
Author(s)Blank, Jir??;Exner, Pavel;Havl??cek, Miloslav
PublicationDordrecht, Springer Netherlands, 2008.
DescriptionXVII, 664 p : online resource
Abstract NoteThe second edition of this course-tested book provides a detailed and in-depth discussion of the foundations of quantum theory as well as its applications to various systems. The exposition is self-contained; in the first part the reader finds the mathematical background in chapters about functional analysis, operators on Hilbert spaces and their spectral theory, as well as operator sets and algebras. This material is used in the second part to a systematic explanation of the foundations, in particular, states and observables, properties of canonical variables, time evolution, symmetries and various axiomatic approaches. In the third part, specific physical systems and situations are discussed. Two chapters analyze Schr??dinger operators and scattering, two others added in the second edition are devoted to new important topics, quantum waveguides and quantum graphs. Some praise for the previous edition: "I really enjoyed reading this work. It is very well written, by three real experts in the field. It stands quite alone...." John R. Taylor, Professor of Physics and Presidential Teaching Scholar, University of Colorado at Boulder
ISBN,Price9781402088704
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. Elementary particles (Physics) 4. Elementary Particles, Quantum Field Theory 5. FUNCTIONAL ANALYSIS 6. MATHEMATICAL PHYSICS 7. OPERATOR THEORY 8. QUANTUM FIELD THEORY 9. QUANTUM PHYSICS 10. Theoretical, Mathematical and Computational Physics
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12.     
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TitleAdvances in the Theory of Fr??chet Spaces
Author(s)Terziogammalu, T
PublicationDordrecht, Springer Netherlands, 1989.
DescriptionXVIII, 364 p : online resource
Abstract NoteFrechet spaces have been studied since the days of Banach. These spaces, their inductive limits and their duals played a prominent role in the development of the theory of locally convex spaces. Also they are natural tools in many areas of real and complex analysis. The pioneering work of Grothendieck in the fifties has been one of the important sources of inspiration for research in the theory of Frechet spaces. A structure theory of nuclear Frechet spaces emerged and some important questions posed by Grothendieck were settled in the seventies. In particular, subspaces and quotient spaces of stable nuclear power series spaces were completely characterized. In the last years it has become increasingly clear that the methods used in the structure theory of nuclear Frechet spaces actually provide new insight to linear problems in diverse branches of analysis and lead to solutions of some classical problems. The unifying theme at our Workshop was the recent developments in the theory of the projective limit functor. This is appropriate because of the important role this theory had in the recent research. The main results of the structure theory of nuclear Frechet spaces can be formulated and proved within the framework of this theory. A major area of application of the theory of the projective limit functor is to decide when a linear operator is surjective and, if it is, to determine whether it has a continuous right inverse
ISBN,Price9789400924567
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. FUNCTIONS OF COMPLEX VARIABLES 4. OPERATOR THEORY 5. PARTIAL DIFFERENTIAL EQUATIONS 6. Several Complex Variables and Analytic Spaces 7. SPECIAL FUNCTIONS
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13.     
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TitleApproximation Theory, Wavelets and Applications
Author(s)Singh, S.P
PublicationDordrecht, Springer Netherlands, 1995.
DescriptionXXIV, 572 p : online resource
Abstract NoteApproximation Theory, Wavelets and Applications draws together the latest developments in the subject, provides directions for future research, and paves the way for collaborative research. The main topics covered include constructive multivariate approximation, theory of splines, spline wavelets, polynomial and trigonometric wavelets, interpolation theory, polynomial and rational approximation. Among the scientific applications were de-noising using wavelets, including the de-noising of speech and images, and signal and digital image processing. In the area of the approximation of functions the main topics include multivariate interpolation, quasi-interpolation, polynomial approximation with weights, knot removal for scattered data, convergence theorems in Pad?? theory, Lyapunov theory in approximation, Neville elimination as applied to shape preserving presentation of curves, interpolating positive linear operators, interpolation from a convex subset of Hilbert space, and interpolation on the triangle and simplex. Wavelet theory is growing extremely rapidly and has applications which will interest readers in the physical, medical, engineering and social sciences
ISBN,Price9789401585774
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. APPROXIMATION THEORY 4. Approximations and Expansions 5. EBOOK 6. EBOOK - SPRINGER 7. FUNCTIONAL ANALYSIS 8. INTEGRAL TRANSFORMS 9. Integral Transforms, Operational Calculus 10. MATHEMATICAL ANALYSIS 11. MATHEMATICS 12. Mathematics, general 13. Operational calculus 14. OPERATOR THEORY
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14.     
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TitleSpectral Methods in Infinite-Dimensional Analysis
Author(s)Berezansky, Yu.M;Kondratiev, Y.G
PublicationDordrecht, Springer Netherlands, 1995.
DescriptionXXVI, 1010 p : online resource
Abstract NoteThe 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
ISBN,Price9789401105095
Keyword(s)1. COMPLEX SYSTEMS 2. DYNAMICAL SYSTEMS 3. EBOOK 4. EBOOK - SPRINGER 5. Elementary particles (Physics) 6. Elementary Particles, Quantum Field Theory 7. FUNCTIONAL ANALYSIS 8. Measure and Integration 9. MEASURE THEORY 10. OPERATOR THEORY 11. QUANTUM FIELD THEORY 12. STATISTICAL PHYSICS 13. Statistical Physics and Dynamical Systems
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15.     
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TitleMicrolocal Analysis and Spectral Theory
Author(s)Rodino, Luigi
PublicationDordrecht, Springer Netherlands, 1997.
DescriptionVIII, 444 p : online resource
Abstract NoteThe NATO Advanced Study Institute "Microlocal Analysis and Spectral The?? ory" was held in Tuscany (Italy) at Castelvecchio Pascoli, in the district of Lucca, hosted by the international vacation center "11 Ciocco" , from September 23 to October 3, 1996. The Institute recorded the considerable progress realized recently in the field of Microlocal Analysis. In a broad sense, Microlocal Analysis is the modern version of the classical Fourier technique in solving partial differential equa?? tions, where now the localization proceeding takes place with respect to the dual variables too. Precisely, through the tools of pseudo-differential operators, wave-front sets and Fourier integral operators, the general theory of the lin?? ear partial differential equations is now reaching a mature form, in the frame of Schwartz distributions or other generalized functions. At the same time, Microlocal Analysis has grown up into a definite and independent part of Math?? ematical Analysis, with other applications all around Mathematics and Physics, one major theme being Spectral Theory for Schrodinger equation in Quantum Mechanics
ISBN,Price9789401156264
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. GLOBAL ANALYSIS (MATHEMATICS) 4. Global Analysis and Analysis on Manifolds 5. INTEGRAL TRANSFORMS 6. Integral Transforms, Operational Calculus 7. Manifolds (Mathematics) 8. Operational calculus 9. OPERATOR THEORY 10. PARTIAL DIFFERENTIAL EQUATIONS 11. QUANTUM PHYSICS
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16.     
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TitleFully Chaotic Maps and Broken Time Symmetry
Author(s)Driebe, Dean J
PublicationDordrecht, Springer Netherlands, 1999.
DescriptionX, 166 p : online resource
Abstract NoteI am very pleased and privileged to write a short foreword for the monograph of Dean Driebe: Fully Chaotic Maps and Broken Time Symmetry. Despite the technical title this book deals with a problem of fundamental importance. To appreciate its meaning we have to go back to the tragic struggle that was initiated by the work of the great theoretical physicist Ludwig Boltzmann in the second half of the 19th century. Ludwig Boltzmann tried to emulate in physics what Charles Darwin had done in biology and to formulate an evolutionary approach in which past and future would play different roles. Boltzmann's work has lead to innumerable controversies as the laws of classical mechanics (as well as the laws of quan?? tum mechanics) as traditionally formulated imply symmetry between past and future. As is well known, Albert Einstein often stated that "Time is an illusion". Indeed, as long as dynamics is associated with trajectories satisfy?? ing the equations of classical mechanics, explaining irreversibility in terms of trajectories appears, as Henri Poincare concluded, as a logical error. After a long struggle, Boltzmann acknowledged his defeat and introduced a probabil?? ity description in which all microscopic states are supposed to have the same a priori probability. Irreversibility would then be due to the imperfection of our observations associated only with the "macroscopic" state described by temperature, pressure and other similar parameters. Irreversibility then appears devoid of any fundamental significance. However today this position has become untenable
ISBN,Price9789401716284
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. CLASSICAL MECHANICS 4. COMPLEX SYSTEMS 5. DYNAMICAL SYSTEMS 6. EBOOK 7. EBOOK - SPRINGER 8. ENGINEERING MATHEMATICS 9. MECHANICS 10. OPERATOR THEORY 11. PROBABILITIES 12. Probability Theory and Stochastic Processes 13. STATISTICAL PHYSICS 14. Statistical Physics and Dynamical Systems
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17.     
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TitleAlgebraic and Geometric Methods in Mathematical Physics : Proceedings of the Kaciveli Summer School, Crimea, Ukraine, 1993
Author(s)Boutet de Monvel, Anne;Marchenko, V.A
PublicationDordrecht, Springer Netherlands, 1996.
DescriptionXIV, 478 p : online resource
ISBN,Price9789401706933
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. Elementary particles (Physics) 4. Elementary Particles, Quantum Field Theory 5. GROUP THEORY 6. Group Theory and Generalizations 7. OPERATOR THEORY 8. PARTIAL DIFFERENTIAL EQUATIONS 9. QUANTUM FIELD THEORY
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18.     
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TitleOperator Algebras and Applications
Author(s)Katavolos, A
PublicationDordrecht, Springer Netherlands, 1997.
DescriptionXI, 467 p : online resource
Abstract NoteDuring the last few years, the theory of operator algebras, particularly non-self-adjoint operator algebras, has evolved dramatically, experiencing both international growth and interfacing with other important areas. The present volume presents a survey of some of the latest developments in the field in a form that is detailed enough to be accessible to advanced graduate students as well as researchers in the field. Among the topics treated are: operator spaces, Hilbert modules, limit algebras, reflexive algebras and subspaces, relations to basis theory, C* algebraic quantum groups, endomorphisms of operator algebras, conditional expectations and projection maps, and applications, particularly to wavelet theory. The volume also features an historical paper offering a new approach to the Pythagoreans' discovery of irrational numbers
ISBN,Price9789401155007
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. FOURIER ANALYSIS 4. FUNCTIONAL ANALYSIS 5. OPERATOR THEORY 6. SPECIAL FUNCTIONS
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19.     
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TitleMathematical perspectives on theoretical physics : A journey from black holes to superstrings
Author(s)Nirmala Prakash
PublicationLondon 2003.
Description835p.
ISBN,Price1860943659 : US $58.00
Classification530.1:51
Keyword(s)1. BLACK HOLE 2. COMPLEX NUMBERS 3. FINITE-DIMENTIONAL ALGEBRA 4. GRAVITATION THEORY 5. GROUP THEORY 6. OPERATOR THEORY 7. QUANTUM THEORY 8. RELATIVITY 9. RIEMANN SURFACES 10. STRING THEORY 11. SUPERSTRING THEORY 12. SYMMETRY 13. YANG-MILLS THEORY 14. YANG-MILLS-HIGGS THEORIES
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20.    
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TitleOperator theory for electromagnetics: An introduction
Author(s)Hanson, George W.;Yakovlev, Alexander B.
PublicationNew York, Springer-Verlag, 2002.
Description634p.
ISBN,Price0-387-95278-0 : EURO 79.95
Classification537.8(076.2)
Keyword(s)1. APPLIED ELECTROMAGNETIC THEORY 2. ELECTROMAGNETIC THEORY 3. OPERATOR THEORY 4. PROBLEMS-SOLUTIONS
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017925   537.8(076./HAN/017925  On Shelf    

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