Spectral Expansions of Non-Self-Adjoint Generalized Laguerre Semigroups, Mladen Savov, Pierre Patie
Автор: Christensen Название: Functions, spaces, and expansions ISBN: 0817649794 ISBN-13(EAN): 9780817649791 Издательство: Springer Рейтинг: Цена: 65210.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This text presents a detailed exposition of key mathematical tools in analysis. Each topic covered was chosen because it plays a role beyond the field of pure mathematics, so the text is useful in exploring the computational areas of physics and engineering.
Автор: P.A. Lagerstrom Название: Matched Asymptotic Expansions ISBN: 0387968113 ISBN-13(EAN): 9780387968117 Издательство: Springer Рейтинг: Цена: 121110.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Boa was then coau- thor) contained discussions of many methods and examples of singular perturba- tion problems. Thus many problems and methods are not covered here: the method of av- eraging and the related method of multiple scales are mentioned mainly to give reasons why they are not discussed further.
Автор: P.A. Lagerstrom Название: Matched Asymptotic Expansions ISBN: 1441930868 ISBN-13(EAN): 9781441930866 Издательство: Springer Рейтинг: Цена: 121110.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Boa was then coau- thor) contained discussions of many methods and examples of singular perturba- tion problems. Thus many problems and methods are not covered here: the method of av- eraging and the related method of multiple scales are mentioned mainly to give reasons why they are not discussed further.
Автор: Flor Langouche; Dirk Roekaerts; E. Tirapegui Название: Functional Integration and Semiclassical Expansions ISBN: 9048183774 ISBN-13(EAN): 9789048183777 Издательство: Springer Рейтинг: Цена: 130430.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book is intended as a fairly complete presentation of what--'We call the discretization approach to functional integrals, i.e. path integrals defined as limits of discretized axpressions. In its main parts it is based 0n the original work of the authors. We hope to have provided the readers with a rather complete and up-to-date bibliography, and we apologize to authors whose work has not been cited through ignorance ori our part. Our main concern has been to present a for- malism that is practical and which can be adapted to make computations in the numerous areas where path integrals are being increasingly used. For these reasons applications, illustrative examples, and detailed calculations are included. The book is partially based on lectures given by one of us (E.T.) at the Institut de Physique Theorique of the u.c.L. (Louvain-la-Neuve). We thank Dr. M.E. Brachet (University of Paris) for his help in the redaction of chapter 8. We are indebted to many of our colleagues and especially to the members of the Instituut voor Theoretische Fysica, K.U. Leuven for their interest and encouragement. We also thank Professor Claudio Anguita, Dean of the Faculty of Physics and Mathematics of .the University of Chile, for his constant support. Special thanks are due to Christine Detroije and Lutgarde Dubois for their very fine and hard work in typing the manuscript.
Автор: Mandal, B N , Mandal, Nanigopal Название: Integral Expansions Related to Mehler-Fock Type Transforms ISBN: 0367448300 ISBN-13(EAN): 9780367448301 Издательство: Taylor&Francis Рейтинг: Цена: 44910.00 T Наличие на складе: Невозможна поставка. Описание: This book presents various integral expansions related to the Mehler-Fock and Mehler-Fock type transforms involving spherical harmonics, namely, Legendre, associated Legendre, generalized associated Legendre, non-periodic Legendre and associated Legendre functions.
Автор: Flor Langouche; Dirk Roekaerts; E. Tirapegui Название: Functional Integration and Semiclassical Expansions ISBN: 902771472X ISBN-13(EAN): 9789027714725 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book is intended as a fairly complete presentation of what--'We call the discretization approach to functional integrals, i.e. path integrals defined as limits of discretized axpressions. In its main parts it is based 0n the original work of the authors. We hope to have provided the readers with a rather complete and up-to-date bibliography, and we apologize to authors whose work has not been cited through ignorance ori our part. Our main concern has been to present a for- malism that is practical and which can be adapted to make computations in the numerous areas where path integrals are being increasingly used. For these reasons applications, illustrative examples, and detailed calculations are included. The book is partially based on lectures given by one of us (E.T.) at the Institut de Physique Theorique of the u.c.L. (Louvain-la-Neuve). We thank Dr. M.E. Brachet (University of Paris) for his help in the redaction of chapter 8. We are indebted to many of our colleagues and especially to the members of the Instituut voor Theoretische Fysica, K.U. Leuven for their interest and encouragement. We also thank Professor Claudio Anguita, Dean of the Faculty of Physics and Mathematics of .the University of Chile, for his constant support. Special thanks are due to Christine Detroije and Lutgarde Dubois for their very fine and hard work in typing the manuscript.
Автор: Nicolay, David Название: Asymptotic Chaos Expansions in Finance ISBN: 1447165055 ISBN-13(EAN): 9781447165057 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Stochastic instantaneous volatility models such as Heston, SABR or SV-LMM have mostly been developed to control the shape and joint dynamics of the implied volatility surface.
Автор: Johannes Sj?strand Название: Non-Self-Adjoint Differential Operators, Spectral Asymptotics and Random Perturbations ISBN: 303010818X ISBN-13(EAN): 9783030108182 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The asymptotic distribution of eigenvalues of self-adjoint differential operators in the high-energy limit, or the semi-classical limit, is a classical subject going back to H. Weyl of more than a century ago.In the last decades there has been a renewed interest in non-self-adjoint differential operators which have many subtle properties such as instability under small perturbations. Quite remarkably, when adding small random perturbations to such operators, the eigenvalues tend to distribute according to Weyl's law (quite differently from the distribution for the unperturbed operators in analytic cases). A first result in this direction was obtained by M. Hager in her thesis of 2005. Since then, further general results have been obtained, which are the main subject of the present book.Additional themes from the theory of non-self-adjoint operators are also treated. The methods are very much based on microlocal analysis and especially on pseudodifferential operators. The reader will find a broad field with plenty of open problems.
Автор: Demetrios Serakos Название: Generalized Adjoint Systems ISBN: 3319166514 ISBN-13(EAN): 9783319166513 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book defines and develops the generalized adjoint of an input-output system. For a space of input-output systems, a generalized adjoint map from this space of systems to the space of generalized adjoints is defined.
Preface.- Introduction.- 1.Preliminaries.- 2.Symmetric Operators and Closable Quadratic Forms.- 3.Self-adjoint Extensions of Symmetric Operators.- 4.Rigged Hilbert Spaces.- 5.Singular Quadratic Forms.- 6.Dense Subspaces in Scales of Hilbert Spaces.- 7.Singular Perturbations of Self-adjoint Operators.- 8.Super-singular Perturbations.- 9.Some Aspects of the Spectral Theory.- References.- Subject Index.- Notation Index.
Автор: Koshmanenko Название: The Method of Rigged Spaces in Singular Perturbation Theory of Self-Adjoint Operators ISBN: 3319295330 ISBN-13(EAN): 9783319295336 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This monograph presents the newly developed method of rigged Hilbert spaces as a modern approach in singular perturbation theory. A key notion of this approach is the Lax-Berezansky triple of Hilbert spaces embedded one into another, which specifies the well-known Gelfand topological triple. All kinds of singular interactions described by potentials supported on small sets (like the Dirac ?-potentials, fractals, singular measures, high degree super-singular expressions) admit a rigorous treatment only in terms of the equipped spaces and their scales. The main idea of the method is to use singular perturbations to change inner products in the starting rigged space, and the construction of the perturbed operator by the Berezansky canonical isomorphism (which connects the positive and negative spaces from a new rigged triplet). The approach combines three powerful tools of functional analysis based on the Birman-Krein-Vishik theory of self-adjoint extensions of symmetric operators, the theory of singular quadratic forms, and the theory of rigged Hilbert spaces. The book will appeal to researchers in mathematics and mathematical physics studying the scales of densely embedded Hilbert spaces, the singular perturbations phenomenon, and singular interaction problems.
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