Pseudo-Differential Operators – serie
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16 produkter
Pricing Derivatives Under Lévy Models
Modern Finite-Difference and Pseudo-Differential Operators Approach
Av Andrey Itkin
Häftad, 2017
876 kr
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This monograph presents a novel numerical approach to solving partial integro-differential equations arising in asset pricing models with jumps, which greatly exceeds the efficiency of existing approaches. The method, based on pseudo-differential operators and several original contributions to the …
Non-Self-Adjoint Differential Operators, Spectral Asymptotics and Random Perturbations
Häftad, 2019
1202 kr
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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 …
Solvable Algebras of Pseudodifferential Operators
Av Boris Plamenevskii, Oleg Sarafanov
Häftad, 2023
984 kr
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This book presents original research results on pseudodifferential operators.C*-algebras generated by pseudodifferential operators with piecewise smooth symbols on a smooth manifold are considered. For each algebra, all the equivalence classes of irreducible representations are listed; as a …
Analysis on Manifolds with Singularities
Av Der-Chen Chang, Bert-Wolfgang Schulze
Häftad, 2026
769 kr
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This exposition introduces new developments of pseudo‐differential operators on manifolds with singularities such as conical points, edges, or higher corners, and recent results in these fields. It presents some crucial parts of recent inventions in singular analysis which contribute to …
Functional Analysis Methods for Reliability Models
Av Geni Gupur
Häftad, 2011
552 kr
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The main goal of this book is to introduce readers to functional analysis methods, in particular, time dependent analysis, for reliability models. Understanding the concept of reliability is of key importance – schedule delays, inconvenience, customer dissatisfaction, and loss of prestige and even …
Discrete Fourier Analysis
Av M. W. Wong
Häftad, 2011
552 kr
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This textbook presents basic notions and techniques of Fourier analysis in discrete settings. Written in a concise style, it is interlaced with remarks, discussions and motivations from signal analysis. The first part is dedicated to topics related to the Fourier transform, including discrete …
Pseudodifferential Analysis, Automorphic Distributions in the Plane and Modular Forms
Häftad, 2011
552 kr
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Pseudodifferential analysis, introduced in this book in a way adapted to the needs of number theorists, relates automorphic function theory in the hyperbolic half-plane Π to automorphic distribution theory in the plane. Spectral-theoretic questions are discussed in one or the other environment: in …
Weyl Operator and its Generalization
Av Leon Cohen
Häftad, 2012
552 kr
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The discovery of quantum mechanics in the years 1925-1930 necessitated the consideration of associating ordinary functions with non-commuting operators. Methods were proposed by Born/Jordan, Kirkwood, and Weyl. Sometime later, Moyal saw the connection between the Weyl rule and the Wigner …
Localization Problem in Index Theory of Elliptic Operators
Av Vladimir Nazaikinskii, Bert-Wolfgang Schulze m. fl.
Häftad, 2013
715 kr
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The book deals with the localization approach to the index problem for elliptic operators. Localization ideas have been widely used for solving various specific index problems for a long time, but the fact that there is actually a fundamental localization principle underlying all these solutions …
Pseudodifferential Operators with Automorphic Symbols
Häftad, 2015
550 kr
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The main results of this book combine pseudo differential analysis with modular form theory. The methods rely for the most part on explicit spectral theory and the extended use of special functions. The starting point is a notion of modular distribution in the plane, which will be new to most …
Pseudodifferential Methods in Number Theory
Häftad, 2018
713 kr
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Classically developed as a tool for partial differential equations, the analysis of operators known as pseudodifferential analysis is here regarded as a possible help in questions of arithmetic. The operators which make up the main subject of the book can be characterized in terms of congruence …
Metrics on the Phase Space and Non-Selfadjoint Pseudo-Differential Operators
Häftad, 2010
876 kr
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This book is devoted to the study of pseudo-di?erential operators, with special emphasis on non-selfadjoint operators, a priori estimates and localization in the phase space. We have tried here to expose the most recent developments of the theory with its applications to local solvability and …
Global Pseudo-differential Calculus on Euclidean Spaces
Häftad, 2010
984 kr
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This book presents a global pseudo-differential calculus in Euclidean spaces, which includes SG as well as Shubin classes and their natural generalizations containing Schroedinger operators with non-polynomial potentials. This calculus is applied to study global hypoellipticity for several …
Pseudo-Differential Operators and Symmetries
Background Analysis and Advanced Topics
Av Michael Ruzhansky, Ville Turunen
Häftad, 2009
1093 kr
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This monograph is devoted to the development of the theory of pseudo-di?erential n operators on spaces with symmetries. Such spaces are the Euclidean space R ,the n torus T , compact Lie groups and compact homogeneous spaces. The book consists of several parts. One of our aims has been not only to …
Quantization and Arithmetic
Häftad, 2008
550 kr
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(12) (4) Let ? be the unique even non-trivial Dirichlet character mod 12, and let ? be the unique (odd) non-trivial Dirichlet character mod 4. Consider on the line the distributions m (12) ? d (x)= ? (m)? x? , even 12 m?Z m (4) d (x)= ? (m)? x? . (1.1) odd 2 m?Z 2 i?x …
Symplectic Methods in Harmonic Analysis and in Mathematical Physics
Häftad, 2011
930 kr
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The aim of this book is to give a rigorous and complete treatment of various topics from harmonic analysis with a strong emphasis on symplectic invariance properties, which are often ignored or underestimated in the time-frequency literature. The topics that are addressed include (but are not …