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The Structure of Functions, Hans Triebel


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Автор: Hans Triebel
Название:  The Structure of Functions
ISBN: 9783034805681
Издательство: Springer
Классификация:




ISBN-10: 3034805683
Обложка/Формат: Paperback
Страницы: 425
Вес: 0.61 кг.
Дата издания: 14.12.2012
Серия: Modern Birkh?user Classics
Язык: English
Издание: Reprint of the 1st e
Иллюстрации: Xii, 425 p.
Размер: 234 x 156 x 23
Читательская аудитория: Professional & vocational
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Dealing with the constructive Weierstrassian approach to the theory of function spaces and its various applications, this volume combines the advantages of atomic and wavelet representations to enhanced theories in spectral fractal elliptics and semi-linear equations.

Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles

Автор: Han
Название: Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles
ISBN: 1447129172 ISBN-13(EAN): 9781447129172
Издательство: Springer
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Цена: 93160.00 T
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Описание: Dynamical system theory has developed rapidly over the past fifty years. It is a subject upon which the theory of limit cycles has a significant impact for both theoretical advances and practical solutions to problems. Hopf bifurcation from a center or a focus  is integral to the theory of bifurcation of limit cycles, for which normal form theory is a central tool. Although Hopf bifurcation has been studied for more than half a century, and normal form theory for over 100 years, efficient computation in this area is still a challenge with implications for Hilbert’s 16th problem.This book introduces the most recent developments in this field and provides major advances in fundamental theory of limit cycles. Split into two parts, the first focuses on  the study of limit cycles bifurcating from Hopf singularity using normal form theory with later application to Hilbert’s 16th problem, while the second considers near Hamiltonian systems using Melnikov function as the main mathematical tool. Classic topics with new results are presented in a clear and concise manner and are accompanied by the liberal use of illustrations throughout. Containing a wealth of examples and structured algorithms that are treated in detail, a good balance between theoretical and applied topics is demonstrated. By including complete Maple programs within the text, this book also enables the reader to reconstruct the majority of formulas provided, facilitating the use of concrete models for study.Through the adoption of an elementary and practical approach, this book will be of use to graduate mathematics students wishing to study the theory of limit cycles as well as scientists, across a number of disciplines, with an interest in the applications of periodic behavior.

Special Functions of Mathematical (Geo-)Physics

Автор: Freeden
Название: Special Functions of Mathematical (Geo-)Physics
ISBN: 3034805624 ISBN-13(EAN): 9783034805629
Издательство: Springer
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Цена: 111790.00 T
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Описание: The special functions to be discussed in this monograph vary greatly, depending on the measurement parameters examined (gravitation, electric and magnetic fields, deformation, climate observables, fluid flow, etc.) and on the respective field characteristic (potential field, diffusion field, wave field).

Bernoulli Numbers and Zeta Functions

Автор: Arakawa Tsuneo
Название: Bernoulli Numbers and Zeta Functions
ISBN: 4431549188 ISBN-13(EAN): 9784431549185
Издательство: Springer
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Цена: 102480.00 T
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Описание: The real reason that they are indispensable for number theory, however, lies in the fact that special values of the Riemann zeta function can be written by using Bernoulli numbers. a formula for Bernoulli numbers by Stirling numbers; congruences between some class numbers and Bernoulli numbers;

The Structure of Functions

Автор: Hans Triebel
Название: The Structure of Functions
ISBN: 3034894945 ISBN-13(EAN): 9783034894944
Издательство: Springer
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Цена: 93160.00 T
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Описание: This book deals with the symbiotic relationship between I Quarkonial decompositions of functions, on the one hand, and II Sharp inequalities and embeddings in function spaces, III Fractal elliptic operators, IV Regularity theory for some semi-linear equations, on the other hand. Accordingly, the book has four chapters. In Chapter I we present the Weier- strassian approach to the theory of function spaces, which can be roughly described as follows. Let 'IjJ be a non-negative Coo function in]R. n with compact support such that {'ljJe - m): m E zn} is a resolution of unity in ]R. n. Let 'IjJ 3(x) = x 3'IjJ(x) where x E ]R. n and {3 E N . One may ask under which circumstances functions and distributions f in ]R. n admit expansions 00 (0. 1) f(x) = L L L ). . m'IjJ 3(2jx - m), x E ]R. n, n 3ENg j=O mEZ with the coefficients ). . m E C. This resembles, at least formally, the Weier- strassian approach to holomorphic functions (in the complex plane), combined with the wavelet philosophy: translations x 1---4 x - m where m E zn and dyadic j dilations x 1---4 2 x where j E No in ]R. n. Such representations pave the way to constructive definitions offunction spaces.

Generalized Analytic Functions in Fractional Spaces

Автор: N K Bliev
Название: Generalized Analytic Functions in Fractional Spaces
ISBN: 0582288614 ISBN-13(EAN): 9780582288614
Издательство: Taylor&Francis
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Цена: 142910.00 T
Наличие на складе: Нет в наличии.
Описание: This is a study of the foundation of the general theory of generalized analytic functions in fractional spaces. The employment of fractional spaces and inclusion theorems offers the possibility of applications of the theory of generalized analytic functions.

From Bessel To Multi-Index Mittag-Leffler Functions: Enumerable Families, Series In Them And Convergence

Автор: Paneva-Konovska Jordanka
Название: From Bessel To Multi-Index Mittag-Leffler Functions: Enumerable Families, Series In Them And Convergence
ISBN: 1786340887 ISBN-13(EAN): 9781786340887
Издательство: World Scientific Publishing
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Цена: 89760.00 T
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Описание: Bessel and Mittag-Leffler functions are prominent within mathematical and scientific fields due to increasing interest in non-conventional models within applied mathematics.

Functions, spaces, and expansions

Автор: Christensen
Название: Functions, spaces, and expansions
ISBN: 0817649794 ISBN-13(EAN): 9780817649791
Издательство: Springer
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Цена: 65210.00 T
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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.

Theta Functions and Knots

Автор: Gelca Razvan
Название: Theta Functions and Knots
ISBN: 9814520578 ISBN-13(EAN): 9789814520577
Издательство: World Scientific Publishing
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Цена: 158400.00 T
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Описание:

This book presents the relationship between classical theta functions and knots. It is based on a novel idea of Răzvan Gelca and Alejandro Uribe, which converts Weil's representation of the Heisenberg group on theta functions to a knot theoretical framework, by giving a topological interpretation to a certain induced representation. It also explains how the discrete Fourier transform can be related to 3- and 4-dimensional topology.

Theta Functions and Knots can be read in two perspectives. Readers with an interest in theta functions or knot theory can learn how the two are related. Those interested in Chern-Simons theory will find here an introduction using the simplest case, that of abelian Chern-Simons theory. Moreover, the construction of abelian Chern-Simons theory is based entirely on quantum mechanics and not on quantum field theory as it is usually done.

Both the theory of theta functions and low dimensional topology are presented in detail, in order to underline how deep the connection between these two fundamental mathematical subjects is. Hence the book is self-contained with a unified presentation. It is suitable for an advanced graduate course, as well as for self-study.


Airy Functions And Applications To Physics

Автор: Valle?E, Olivier,
Название: Airy Functions And Applications To Physics
ISBN: 184816548X ISBN-13(EAN): 9781848165489
Издательство: World Scientific Publishing
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Цена: 64410.00 T
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Описание: Intended for physicists and chemical physicists, this title presents the knowledge on analytical properties of Airy functions. It also presents the calculus implying the Airy functions. It features examples that illustrate the use of Airy functions in classical and quantum physics. It reviews the knowledge on Airy functions.


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