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Carleson curves, muckenhoupt weights, and toeplitz operators / par Bƴttcher,, Albrecht. Publication : [S.l.] : BirkhƲuser Basel, 1997 . 420 p. ; , A self-contained exposition of the spectral theory of Toeplitz operators with piecewise continuous symbols & singular integral operators addressed to a wide audience of students & mathematicians interested in real and complex analysis, functional analysis and operator theory. 24 cm. Date : 1997 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Introductory functional analysis : with applications to boundary value problems and finite elements / par Reddy,, B. Daya. Publication : [S.l.] : Springer, 1997 . 492 p. ; , This book provides an introduction to functional analysis and treats in detail its application to boundary-value problems and finite elements. The book is intended for use by senior undergraduate and graduate students in mathematics, the physical sciences and engineering, who may not have been exposed to the conventional prerequisites for a course in functional analysis, such as real analysis. Mature researchers wishing to learn the basic ideas of functional analysis would also find the text useful. The text is distinguished by the fact that abstract concepts are motivated and illustrated wherever possible. Readers of this book can expect to obtain a good grounding in those aspects of functional analysis which are most relevant to a proper understanding and appreciation of the mathematical aspects of boundary-value problems and the finite element method. 24 cm. Date : 1997 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Operator approach in linear problems of hydrodynamics par Kopachevsky,, Nikolay D. Publication : [S.l.] Birkhäuser Basel 2001 . 384 p. , This is the first volume of a set of two devoted to the operator approach to linear problems in hydrodynamics. It presents functional analytical methods applied to the study of small movements and normal oscillations of hydromechanical systems having cavities filled with either ideal or viscous fluids. The work is a sequel to and at the same time substantially extends the volume "Operator Methods in Linear Hydrodynamics: Evolution and Spectral Problems" by N.D. Kopachevsky, S.G. Krein and Ngo Zuy Kan, published in 1989 by Nauka in Moscow. It includes several new problems on the oscillations of partially dissipative hydrosystems and the oscillations of visco-elastic or relaxing fluids. The work relies on the authors' and their students' works of the last 30-40 years. The readers are not supposed to be familiar with the methods of functional analysis. In the first part of the present volume, the main facts of linear operator theory relevant to linearized problems of hydrodynamics are summarized, including elements of the theories of distributions, self-adjoint operators in Hilbert spaces and in spaces with an indefinite metric, evolution equations and asymptotic methods for their solutions, the spectral theory of operator pencils. The book is particularly useful for researchers, engineers and students in fluid mechanics and mathematics interested in operator theoretical methods for the analysis of hydrodynamical problems. 24 cm. Date : 2001 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1), La bibliothèque des Sciences Exactes et Naturelles (1),

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P-adic deterministic and random dynamics / par Khrennikov,, Andrei Y. Publication : [S.l.] : Springer, 2004 . 270 p. ; , This is the first monograph in the theory of p-adic (and more general non-Archimedean) dynamical systems. The theory of such systems is a new intensively developing discipline on the boundary between the theory of dynamical systems, theoretical physics, number theory, algebraic geometry and non-Archimedean analysis. Investigations on p-adic dynamical systems are motivated by physical applications (p-adic string theory, p-adic quantum mechanics and field theory, spin glasses) as well as natural inclination of mathematicians to generalize any theory as much as possible (e.g., to consider dynamics not only in the fields of real and complex numbers, but also in the fields of p-adic numbers). The main part of the book is devoted to discrete dynamical systems: cyclic behavior (especially when p goes to infinity), ergodicity, fuzzy cycles, dynamics in algebraic extensions, conjugate maps, small denominators. There are also studied p-adic random dynamical system, especially Markovian behavior (depending on p). In 1997 one of the authors proposed to apply p-adic dynamical systems for modeling of cognitive processes. In applications to cognitive science the crucial role is played not by the algebraic structure of fields of p-adic numbers, but by their tree-like hierarchical structures. In this book there is presented a model of probabilistic thinking on p-adic mental space based on ultrametric diffusion. There are also studied p-adic neural network and their applications to cognitive sciences: learning algorithms, memory recalling. Finally, there are considered wavelets on general ultrametric spaces, developed corresponding calculus of pseudo-differential operators and considered cognitive applications. Audience: This book will be of interest to mathematicians working in the theory of dynamical systems, number theory, algebraic geometry, non-Archimedean analysis as well as general functional analysis, theory of pseudo-differential operators; physicists working in string theory, quantum mechanics, field theory, spin glasses; psychologists and other scientists working in cognitive sciences and even mathematically oriented philosophers. 25 cm. Date : 2004 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Functional equations in applied sciences / par Castillo, Enrique, Publication : . 1 online resource (xiii, 391 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780444517883,  http://www.sciencedirect.com/science/publication?issn=00765392&volume=199,

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Applications of functional analysis and operator theory. par Hutson, V. Publication : . 1 online resource (xiv, 426 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780444517906,  http://www.sciencedirect.com/science/publication?issn=00765392&volume=200,

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The theory of fractional powers of operators / par Martínez Carracedo, Celso. Publication : . 1 online resource (xii, 365 pages) Disponibilité :  http://www.sciencedirect.com/science/book/9780444887979,  http://www.sciencedirect.com/science/publication?issn=03040208&volume=187,

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C₀-semigroups and applications / par Vrabie, I. I. Publication : . 1 online resource (xii, 373 pages) Disponibilité :  http://www.sciencedirect.com/science/book/9780444512888,  http://www.sciencedirect.com/science/publication?issn=03040208&volume=191,

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Sobolev spaces / par Adams, R. A. Publication : . 1 online resource (xiii, 305 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780120441433,  http://www.sciencedirect.com/science/publication?issn=00798169&volume=140,

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The spectral analysis of time series / par Koopmans, Lambert H. Publication : . 1 online resource (xvi, 366 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780124192515,

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Operator inequalities / par Schröder, Johann, Publication : . 1 online resource (xvi, 367 pages) Disponibilité :  http://www.sciencedirect.com/science/book/9780126297508,  http://www.sciencedirect.com/science/publication?issn=00765392&volume=147,

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Generalized functions : theory and technique / par Kanwal, Ram P. Publication : . 1 online resource (xiii, 428 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780123965608,  http://www.sciencedirect.com/science/publication?issn=00765392&volume=171,

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Applications of functional analysis and operator theory / par Hutson, V. Publication : . 1 online resource (xi, 389 pages) Disponibilité :  http://www.sciencedirect.com/science/book/9780123632609,  http://www.sciencedirect.com/science/publication?issn=00765392&volume=146,

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Spectral synthesis / par Benedetto, John. Publication : . 1 online resource (278 pages) , Includes indexes. Disponibilité :  http://www.sciencedirect.com/science/book/9780120870509,  http://www.sciencedirect.com/science/publication?issn=00798169&volume=66,

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Mathematical methods of game and economic theory / par Aubin, Jean Pierre. Publication : . 1 online resource (xxxii, 619 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780444851840,  http://www.sciencedirect.com/science/publication?issn=01682024&volume=7,

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Functional analysis in modern applied mathematics / par Curtain, Ruth F. Publication : . 1 online resource (ix, 339 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780121962500,

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Operator ideals / par Pietsch, A. Publication : . 1 online resource (451 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780444852939,

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