Difference Spaces and Invariant Linear Forms
| Author | : Rodney Nillsen |
| Publisher | : |
| Total Pages | : 204 |
| Release | : 2014-01-15 |
| Genre | : |
| ISBN | : 9783662171608 |
Difference Spaces And Invariant Linear Forms
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Difference Spaces and Invariant Linear Forms
| Author | : Rodney Victor Nillsen |
| Publisher | : Springer |
| Total Pages | : 206 |
| Release | : 1994 |
| Genre | : Mathematics |
| ISBN | : |
Difference spaces arise by taking sums of finite or fractional differences. Linear forms which vanish identically on such a space are invariant in a corresponding sense. The difference spaces of L2 (Rn) are Hilbert spaces whose functions are characterized by the behaviour of their Fourier transforms near, e.g., the origin. One aim is to establish connections between these spaces and differential operators, singular integral operators and wavelets. Another aim is to discuss aspects of these ideas which emphasise invariant linear forms on locally compact groups. The work primarily presents new results, but does so from a clear, accessible and unified viewpoint, which emphasises connections with related work.
Difference Spaces and Invariant Linear Forms
| Author | : Rodney Nillsen |
| Publisher | : Springer |
| Total Pages | : 198 |
| Release | : 2006-11-15 |
| Genre | : Mathematics |
| ISBN | : 3540486526 |
Difference spaces arise by taking sums of finite or fractional differences. Linear forms which vanish identically on such a space are invariant in a corresponding sense. The difference spaces of L2 (Rn) are Hilbert spaces whose functions are characterized by the behaviour of their Fourier transforms near, e.g., the origin. One aim is to establish connections between these spaces and differential operators, singular integral operators and wavelets. Another aim is to discuss aspects of these ideas which emphasise invariant linear forms on locally compact groups. The work primarily presents new results, but does so from a clear, accessible and unified viewpoint, which emphasises connections with related work.
Ecole D'ete de Probabilites de Saint-Flour
| Author | : J. Bertoin |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 308 |
| Release | : 1999-11-17 |
| Genre | : Mathematics |
| ISBN | : 9783540665939 |
Lecture Notes in Mathematics This series reports on new developments in mathematical research and teaching - quickly, informally and at a high level. The type of material considered for publication includes 1. Research monographs 2. Lectures on a new field or presentations of a new angle in a classical field 3. Summer schools and intensive courses on topics of current research Texts which are out of print but still in demand may also be considered. The timeliness of a manuscript is sometimes more important than its form, which might be preliminary or tentative. Details of the editorial policy can be found on the inside front-cover of a current volume. Manuscripts should be submitted in camera-ready form according to Springer-Verlag's specification: technical instructions will be sent on request. TEX macros may be found at: http://www.springer.de/math/authors/b-tex.html Select the version of TEX you use and then click on "Monographs". A subject index should be included. We recommend contacting the publisher or the series editors at an early stage of your project. Addresses are given on the inside back-cover.
Arithmetic Theory of Elliptic Curves
| Author | : J. Coates |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 276 |
| Release | : 1999-10-19 |
| Genre | : Mathematics |
| ISBN | : 9783540665465 |
This volume contains the expanded versions of the lectures given by the authors at the C.I.M.E. instructional conference held in Cetraro, Italy, from July 12 to 19, 1997. The papers collected here are broad surveys of the current research in the arithmetic of elliptic curves, and also contain several new results which cannot be found elsewhere in the literature. Owing to clarity and elegance of exposition, and to the background material explicitly included in the text or quoted in the references, the volume is well suited to research students as well as to senior mathematicians.
Algebraic Homogeneous Spaces and Invariant Theory
| Author | : Frank D. Grosshans |
| Publisher | : Springer |
| Total Pages | : 158 |
| Release | : 2006-11-14 |
| Genre | : Mathematics |
| ISBN | : 3540696172 |
The invariant theory of non-reductive groups has its roots in the 19th century but has seen some very interesting developments in the past twenty years. This book is an exposition of several related topics including observable subgroups, induced modules, maximal unipotent subgroups of reductive groups and the method of U-invariants, and the complexity of an action. Much of this material has not appeared previously in book form. The exposition assumes a basic knowledge of algebraic groups and then develops each topic systematically with applications to invariant theory. Exercises are included as well as many examples, some of which are related to geometry and physics.
Regular Variation and Differential Equations
| Author | : Vojislav Maric |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 148 |
| Release | : 2000-03-27 |
| Genre | : Mathematics |
| ISBN | : 9783540671602 |
This book constitutes the refereed proceedings of the Third Pacific-Asia Conference on Knowledge Discovery and Data Mining, PAKDD '99, held in Beijing, China, in April 1999. The 29 revised full papers presented together with 37 short papers were carefully selected from a total of 158 submissions. The book is divided into sections on emerging KDD technology; association rules; feature selection and generation; mining in semi-unstructured data; interestingness, surprisingness, and exceptions; rough sets, fuzzy logic, and neural networks; induction, classification, and clustering; visualization; causal models and graph-based methods; agent-based and distributed data mining; and advanced topics and new methodologies.
Representations of Fundamental Groups of Algebraic Varieties
| Author | : Kang Zuo |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 152 |
| Release | : 1999-12-15 |
| Genre | : Mathematics |
| ISBN | : 9783540663126 |
Using harmonic maps, non-linear PDE and techniques from algebraic geometry this book enables the reader to study the relation between fundamental groups and algebraic geometry invariants of algebraic varieties. The reader should have a basic knowledge of algebraic geometry and non-linear analysis. This book can form the basis for graduate level seminars in the area of topology of algebraic varieties. It also contains present new techniques for researchers working in this area.
Moduli of Supersingular Abelian Varieties
| Author | : Ke-Zheng Li |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 140 |
| Release | : 1998-01-19 |
| Genre | : Mathematics |
| ISBN | : 9783540639237 |
Abelian varieties can be classified via their moduli. In positive characteristic the structure of the p-torsion-structure is an additional, useful tool. For that structure supersingular abelian varieties can be considered the most special ones. They provide a starting point for the fine description of various structures. For low dimensions the moduli of supersingular abelian varieties is by now well understood. In this book we provide a description of the supersingular locus in all dimensions, in particular we compute the dimension of it: it turns out to be equal to Ãg.g/4Ã, and we express the number of components as a class number, thus completing a long historical line where special cases were studied and general results were conjectured (Deuring, Hasse, Igusa, Oda-Oort, Katsura-Oort).
The Blocking Technique, Weighted Mean Operators and Hardy's Inequality
| Author | : Karl-Goswin Grosse-Erdmann |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 132 |
| Release | : 1998-01-19 |
| Genre | : Mathematics |
| ISBN | : 9783540639022 |
This book presents the first comprehensive treatment of the blocking technique which consists in transforming norms in section form into norms in block form, and vice versa. Such norms appear throughout analysis. The blocking technique is a powerful, yet elementary, tool whose usefulnes is demonstrated in the book. In particular, it is shown to lead to the solution of three recent problems of Bennett concerning the inequalities of Hardy and Copson. The book is addressed to researchers and graduate students. An interesting feature is that it contains a dictionary of transformations between section and block norms and will thus be useful to researchers as a reference text. The book requires no knowledge beyond an introductory course in functional analysis.
