Wavelet Theory: An Elementary Approach with Applications, Ruch
Автор: Raul Curto; Martin Mathieu Название: Elementary Operators and Their Applications ISBN: 3034803206 ISBN-13(EAN): 9783034803205 Издательство: Springer Рейтинг: Цена: 107130.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This volume contains solicited articles by speakers at the workshop ranging from expository surveys to original research papers, each of which carefully refereed.
Автор: Vladimir K. Dobrev Название: Lie Theory and Its Applications in Physics ISBN: 9811026351 ISBN-13(EAN): 9789811026355 Издательство: Springer Рейтинг: Цена: 186330.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
This volume presents modern trends in the area of symmetries and their applications based on contributions from the workshop 'Lie Theory and Its Applications in Physics', held near Varna, Bulgaria, in June 2015. Traditionally, Lie theory is a tool to build mathematical models for physical systems.
Recently, the trend has been towards geometrization of the mathematical description of physical systems and objects. A geometric approach to a system yields in general some notion of symmetry, which is very helpful in understanding its structure. Geometrization and symmetries are employed in their widest sense, embracing representation theory, algebraic geometry, number theory, infinite-dimensional Lie algebras and groups, superalgebras and supergroups, groups and quantum groups, noncommutative geometry, symmetries of linear and nonlinear partial differential operators (PDO), special functions, and others. Furthermore, the necessary tools from functional analysis are included.<
This is a large interdisciplinary and interrelated field, and the present volume is suitable for a broad audience of mathematicians, mathematical physicists, and theoretical physicists, including researchers and graduate students interested in Lie Theory.
Lieb-Robinson bounds for multi-commutators are effective mathematical tools to handle analytic aspects of infinite volume dynamics of non-relativistic quantum particles with short-range, possibly time-dependent interactions.
In particular, the existence of fundamental solutions is shown for those (non-autonomous) C*-dynamical systems for which the usual conditions found in standard theories of (parabolic or hyperbolic) non-autonomous evolution equations are not given. In mathematical physics, bounds on multi-commutators of an order higher than two can be used to study linear and non-linear responses of interacting particles to external perturbations. These bounds are derived for lattice fermions, in view of applications to microscopic quantum theory of electrical conduction discussed in this book. All results also apply to quantum spin systems, with obvious modifications. In order to make the results accessible to a wide audience, in particular to students in mathematics with little Physics background, basics of Quantum Mechanics are presented, keeping in mind its algebraic formulation. The C*-algebraic setting for lattice fermions, as well as the celebrated Lieb-Robinson bounds for commutators, are explained in detail, for completeness.
Автор: Ravi P. Agarwal; Donal O`Regan; D. R. Sahu Название: Fixed Point Theory for Lipschitzian-type Mappings with Applications ISBN: 1441926062 ISBN-13(EAN): 9781441926067 Издательство: Springer Рейтинг: Цена: 153720.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Over the past few decades, fixed point theory has become an important field of study in both pure and applied mathematics. This book presents the main techniques and results in the theory, from preliminary topics and basic results to applicable problems.
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