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31 Singh, S.P Approximation Theory, Wavelets and Applications I03623 1995 eBook  
32 Berezansky, Yu.M Spectral Methods in Infinite-Dimensional Analysis I03257 1995 eBook  
33 Gauthier, Paul M Complex Potential Theory I02935 1994 eBook  
34 Katavolos, A Operator Algebras and Applications I01249 1997 eBook  
35 Arkeryd, Leif O Nonstandard Analysis I01155 1997 eBook  
36 Michael Reed Methods of modern mathematical physics volume 1 : Functional analysis 022340 1980 Book  
37 Richard R. Goldberg Methods of real analysis 019511 1964 Book  
38 Bellman, Richard Collection of modern mathematical classics analysis 019383 1961 Book  
39 John von Neumann Functional operators. Vol. 2: The geometry of orthogonal spaces 008671 1950 Book  
40 John von Neumann Functional operators. Vol. 1: Measures and integrals 008670 1950 Book  
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31.    
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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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I03623     On Shelf    

32.     
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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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33.     
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TitleComplex Potential Theory
Author(s)Gauthier, Paul M
PublicationDordrecht, Springer Netherlands, 1994.
DescriptionXIX, 552 p : online resource
ISBN,Price9789401109345
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. FUNCTIONAL ANALYSIS 4. Functions of a Complex Variable 5. FUNCTIONS OF COMPLEX VARIABLES 6. POTENTIAL THEORY 7. Potential theory (Mathematics) 8. Several Complex Variables and Analytic Spaces
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34.     
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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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35.     
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TitleNonstandard Analysis : Theory and Applications
Author(s)Arkeryd, Leif O;Cutland, Nigel J;Henson, C. Ward
PublicationDordrecht, Springer Netherlands, 1997.
DescriptionXIV, 366 p : online resource
Abstract Note1 More than thirty years after its discovery by Abraham Robinson , the ideas and techniques of Nonstandard Analysis (NSA) are being applied across the whole mathematical spectrum,as well as constituting an im?? portant field of research in their own right. The current methods of NSA now greatly extend Robinson's original work with infinitesimals. However, while the range of applications is broad, certain fundamental themes re?? cur. The nonstandard framework allows many informal ideas (that could loosely be described as idealisation) to be made precise and tractable. For example, the real line can (in this framework) be treated simultaneously as both a continuum and a discrete set of points; and a similar dual ap?? proach can be used to link the notions infinite and finite, rough and smooth. This has provided some powerful tools for the research mathematician - for example Loeb measure spaces in stochastic analysis and its applications, and nonstandard hulls in Banach spaces. The achievements of NSA can be summarised under the headings (i) explanation - giving fresh insight or new approaches to established theories; (ii) discovery - leading to new results in many fields; (iii) invention - providing new, rich structures that are useful in modelling and representation, as well as being of interest in their own right. The aim of the present volume is to make the power and range of appli?? cability of NSA more widely known and available to research mathemati?? cians
ISBN,Price9789401155441
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. Applications of Mathematics 4. APPLIED MATHEMATICS 5. EBOOK 6. EBOOK - SPRINGER 7. ENGINEERING MATHEMATICS 8. Fluid- and Aerodynamics 9. FLUIDS 10. FUNCTIONAL ANALYSIS 11. MATHEMATICAL ANALYSIS 12. PROBABILITIES 13. Probability Theory and Stochastic Processes
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36.     
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TitleMethods of modern mathematical physics volume 1 : Functional analysis
Author(s)Michael Reed;Barry Simon
EditionRevised adn Enlarged ed.
PublicationSan Diego, Academic press, 1980.
Descriptionxv; 400p.
ISBN,Price9780125850506 : US $144.00(HB)
Classification530.1:51
Keyword(s)1. BANACH SPACES 2. BOUNDED OPERATORS 3. EBOOK 4. EBOOK - ELSEVIER 5. FOURIER TRANSFORM 6. FUNCTIONAL ANALYSIS 7. HILBERT SPACE 8. MATHEMATICAL PHYSICS 9. SPECTRAL THEOREM 10. TOPOLOGICAL SPACES 11. UNBOUNDED OPERATORS
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022340   530.1:51/REED/022340  On Shelf    
OB0389   530.1:51/REED/  On Shelf    

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37.     
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TitleMethods of real analysis
Author(s)Richard R. Goldberg
PublicationWaltham, Blaisdell Publishing Company, 1964.
Description359p.
Series(Blaisdell book in pure and applied mathematics)
ISBN,PriceRs. 359.00(p)
Classification517.51
Keyword(s)1. FOURIER SERIES 2. FUNCTIONAL ANALYSIS 3. FUNCTIONS 4. MEASURE THEORY 5. METRIC SPACES 6. REAL ANALYSIS 7. SEQUENCES 8. TOPOLOGY
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019511   517.51/GOLD/019511  On Shelf    

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38.     
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TitleCollection of modern mathematical classics analysis
Author(s)Bellman, Richard
PublicationNew York, Dover Publications, Inc., 1961.
Descriptionxii, 292p.
ISBN,PriceUS $ 2.00
Classification517.1
Keyword(s)1. ANALYTIC NUMBER THEORY 2. APPROXIMATION THEORY 3. FUNCTIONAL ANALYSIS 4. INTEGRAL EQUATIONS 5. MATHEMATICAL ANALYSIS 6. MATHEMATICS
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019383   517.1/BEL/019383  On Shelf    

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39.     
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TitleFunctional operators. Vol. 2: The geometry of orthogonal spaces
Author(s)John von Neumann
PublicationPrinceton, Princeton University Press, 1950.
Description107pp.
Series(Annals of mathematics studies)
ISBN,Price9781400882250
Classification517.98
Keyword(s)1. EBOOK 2. EBOOK - PRINCETON UNIVERSITY PRESS 3. FUNCTIONAL ANALYSIS 4. GEOMETRY 5. OPERATOR THEORY 6. ORTHOGONAL SPACES
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008671   517.98/NEU/008671  On Shelf    
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40.    
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TitleFunctional operators. Vol. 1: Measures and integrals
Author(s)John von Neumann
PublicationPrinceton, Princeton University Press, 1950.
Description261pp.
Series(Annals of mathematical studies)
Classification517.98
Keyword(s)1. EBOOK 2. EBOOK - PRINCETON UNIVERSITY PRESS 3. FUNCTIONAL ANALYSIS 4. INTEGRALS 5. MEASURES 6. OPERATOR THEORY
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