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Fourier Analysis and Approximation of Functions
In Fourier Analysis and Approximation of Functions basics of classical Fourier Analysis are given as well as those of approximation by polynomials, splines and entire functions of exponential type. In Chapter 1 which has an introductory nature, theorems on convergence, in that or another sense, of integral operators are given. In Chapter 2 basic properties of simple and multiple Fourier series are discussed, while in Chapter 3 those of Fourier integrals are studied. The first three chapters as well as partially Chapter 4 and classical Wiener, Bochner, Bernstein, Khintchin, and Beurling theorems in Chapter 6 might be interesting and available to all familiar with fundamentals of integration t...
Nazis in Pre-War London, 1930-1939
Once war broke out in September 1930 the Nazi Party newspaper, Völkischer Beobachter, sent its first representative to London. Soon afterwards, German residents in London established an Ortsgruppe, or local Nazi group, which provided Party members with a place to congregate and support the new movement. By 1933, more than 100 members belonged to the London group. The Nazis in pre-war London created a dilemma for the Foreign Office and the Home Office, who were divided as to how best to treat residents whose allegiance was to the German Reich. Some felt that all Nazi organizations should be banned, and Party Members should not be allowed to enter the UK. Others, including MI5, argued that it...
Structure Theory for Canonical Classes of Finite Groups
This book offers a systematic introduction to recent achievements and development in research on the structure of finite non-simple groups, the theory of classes of groups and their applications. In particular, the related systematic theories are considered and some new approaches and research methods are described – e.g., the F-hypercenter of groups, X-permutable subgroups, subgroup functors, generalized supplementary subgroups, quasi-F-group, and F-cohypercenter for Fitting classes. At the end of each chapter, we provide relevant supplementary information and introduce readers to selected open problems.
Spectral Asymptotics in the Semi-Classical Limit
This book presents the basic methods and applications in semiclassical approximation in the light of developments.
Linear Delay-Differential Systems with Commensurate Delays: An Algebraic Approach
The book deals with linear time-invariant delay-differential equations with commensurated point delays in a control-theoretic context. The aim is to show that with a suitable algebraic setting a behavioral theory for dynamical systems described by such equations can be developed. The central object is an operator algebra which turns out to be an elementary divisor domain and thus provides the main tool for investigating the corresponding matrix equations. The book also reports the results obtained so far for delay-differential systems with noncommensurate delays. Moreover, whenever possible it points out similarities and differences to the behavioral theory of multidimensional systems, which is based on a great deal of algebraic structure itself. The presentation is introductory and self-contained. It should also be accessible to readers with no background in delay-differential equations or behavioral systems theory. The text should interest researchers and graduate students.
Geometric Control and Nonsmooth Analysis
The aim of this volume is to provide a synthetic account of past research, to give an up-to-date guide to current intertwined developments of control theory and nonsmooth analysis, and also to point to future research directions.
Inherited Disorders of Carbohydrate Metabolism
The sixteenth annual symposium of the Society for the Study of Inborn Errors of Metabolism was held in Bristol from 12th to 14th July, 1978. About 25 invited speakers and 150 participants came from many parts of Europe and North America to consider the topic, 'Inherited Disorders of Carbohydrate Metabolism'. Although some aspects of these disorders have formed part of the programme of previous symposia organized by the Socie ty, this was the first attempt to discuss them in a systematic manner. The subject, carbohydrate disorders, embraces both familiar and well documented conditions and some lesser known aspects of genetic disease. In all of these there remains much to be learnt about clini...
Theory of Differential Equations with Unbounded Delay
Because the theory of equations with delay terms occurs in a variety of contexts, it is important to provide a framework, whenever possible, to handle as many cases as possible simultaneously so as to bring out a better insight and understanding of the subtle differences of the various equations with delays. Furthermore, such a unified theory would avoid duplication and expose open questions that are significant for future research. It is in this spirit that the authors view the importance of their monograph, which presents a systematic and unified theory of recent developments of equations with unbounded delay, describes the current state of the theory showing the essential unity achieved, ...
