Problems And Solutions In Banach Spaces, Hilbert Spaces, Fourier Transform, Wavelets, Generalized Functions And Quantum Mechanics, Willi-hans Steeb, Wolfgang Mathis
Описание: Finally, progression toward quantum computation is examined in detail: if quantum computers can be made practicable, enormous enhancements in computing power, artificial intelligence, and secure communication will result.
Название: Hilbert Space and Quantum Mechanics ISBN: 9814635839 ISBN-13(EAN): 9789814635837 Издательство: World Scientific Publishing Рейтинг: Цена: 18216.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Water fascinating in all its phases, forms and states of aggregation. Without it, life as we know it would not exist on Earth, for as Paracelsus stated in the 16th century water is the matrix of the world and of all its creatures. While it may appear to be a simple molecule, there is still much about it which is not fully understood. What is notably lacking is a microscopically-based understanding of the reasons for the many anomalous properties of water.This book presents lectures from the Enrico Fermi summer school Water fundamentals as the basis for understanding the environment and promoting technology held in Varenna,
Описание: Finally, progression toward quantum computation is examined in detail: if quantum computers can be made practicable, enormous enhancements in computing power, artificial intelligence, and secure communication will result.
Описание: Banach spaces may be finite and infinite dimensional over a field and manifolds are modelled on Banach spaces. This title reviews research in stochastic processes with values in Banach spaces, manifolds and topological groups.
Автор: G. Bennett; J. Baker; C. Cleaver; S.Y. Chang; D.E. Название: Banach Spaces of Analytic Functions. ISBN: 3540083561 ISBN-13(EAN): 9783540083566 Издательство: Springer Рейтинг: Цена: 3492.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents a collection of problems and solutions in functional analysis with applications to quantum mechanics. Emphasis is given to Banach spaces, Hilbert spaces and generalized functions.The material of this volume is self-contained, whereby each chapter comprises an introduction with the relevant notations, definitions, and theorems. The approach in this volume is to provide students with instructive problems along with problem-solving strategies. Programming problems with solutions are also included.
Описание: This book provides an introduction to Hilbert space theory, Fourier transform and wavelets, linear operators, generalized functions and quantum mechanics. Although quantum mechanics has been developed between 1925 and 1930 in the last twenty years a large number of new aspect and techniques have been introduced. The book also covers these new fields in quantum mechanics. In quantum mechanics the basic mathematical tools are the theory of Hilbert spaces, the theory of linear operators, the theory of generalized functions and Lebesgue inte- gration theory. Many excellent textbooks have been written on Hilbert space theory and linear operators in Hilbert spaces. Comprehensive surveys of this subject are given by Weidmann 68], Prugovecki 47], Yosida 69], Kato 31], Richtmyer 49], Sewell 54] and others. The theory of generalized functions is also well covered in good textbooks (Gelfand and Shilov 25], Vladimirov 67]. Furthermore numerous textbooks on quantum mechanics exist (Dirac 17], Landau and Lifshitz 36], Mes- siah 41], Gasiorowicz 24], Schiff 51], Eder 18] and others). Besides these books there are several problem books on quantum mechanics (Fliigge 22], Constantinescu and Magyari 15], ter Haar 64], Mavromatis 39], Steeb 59], Steeb 60], Steeb 61]) and others). Computer algebra implementations of quantum mechanical problems are described by Steeb 59]. Unfortunately, many standard textbooks on quantum mechanics neglect the math- ematical background. The basic mathematical tools to understand quantum me- chanics should be fully integrated into an education in quantum mechanics.
Описание: A comprehensive introduction to modern quantum mechanics, emphasising the underlying Hilbert space theory and generalized function theory. All the major modern techniques and approaches used in quantum mechanics are introduced.
Автор: Yuichiro Kakihara Название: Hilbert And Banach Space-valued Stochastic Processes ISBN: 9811211744 ISBN-13(EAN): 9789811211744 Издательство: World Scientific Publishing Рейтинг: Цена: 24552.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This is a development of the book entitled Multidimensional Second Order Stochastic Processes.
Автор: Provenzi, Edoardo, Название: From euclidean to Hilbert spaces : ISBN: 1786306824 ISBN-13(EAN): 9781786306821 Издательство: Wiley Рейтинг: Цена: 21851.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: From Euclidian to Hilbert Spaces analyzes the transition from finite dimensional Euclidian spaces to infinite-dimensional Hilbert spaces, a notion that can sometimes be difficult for non-specialists to grasp. The focus is on the parallels and differences between the properties of the finite and infinite dimensions, noting the fundamental importance of coherence between the algebraic and topological structure, which makes Hilbert spaces the infinite-dimensional objects most closely related to Euclidian spaces.
The common thread of this book is the Fourier transform, which is examined starting from the discrete Fourier transform (DFT), along with its applications in signal and image processing, passing through the Fourier series and finishing with the use of the Fourier transform to solve differential equations.
The geometric structure of Hilbert spaces and the most significant properties of bounded linear operators in these spaces are also covered extensively. The theorems are presented with detailed proofs as well as meticulously explained exercises and solutions, with the aim of illustrating the variety of applications of the theoretical results.
Автор: Marius Mitrea Название: Clifford Wavelets, Singular Integrals, and Hardy Spaces ISBN: 3540578846 ISBN-13(EAN): 9783540578840 Издательство: Springer Рейтинг: Цена: 3487.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This monograph explores the extensions of basic Fourier analysis techniques to the Clifford algebra. It discusses the construction of Clifford-valued wavelets, Calman-Zygmund theory for Clifford valued singular integral operators on Lipschitz hyper-surfaces and much more.
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