Difference Spaces And Invariant Linear Forms
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| 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.
| Author | : Rodney Nillsen |
| Publisher | : |
| Total Pages | : 204 |
| Release | : 2014-01-15 |
| Genre | : |
| ISBN | : 9783662171608 |
| Author | : Jacques Azema |
| Publisher | : Springer |
| Total Pages | : 337 |
| Release | : 2006-11-14 |
| Genre | : Mathematics |
| ISBN | : 354044744X |
All the papers included in this volume are original research papers. They represent an important part of the work of French probabilists and colleagues with whom they are in close contact throughout the world. The main topics of the papers are martingale and Markov processes studies.
| Author | : Alexander Degtyarev |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 284 |
| Release | : 2000-10-26 |
| Genre | : Mathematics |
| ISBN | : 9783540410881 |
Deformation classes. p. 89.
| 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.
| 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.
| Author | : Vassili N. Kolokoltsov |
| Publisher | : Springer |
| Total Pages | : 360 |
| Release | : 2007-12-03 |
| Genre | : Mathematics |
| ISBN | : 3540465871 |
The monograph is devoted mainly to the analytical study of the differential, pseudo-differential and stochastic evolution equations describing the transition probabilities of various Markov processes. These include (i) diffusions (in particular,degenerate diffusions), (ii) more general jump-diffusions, especially stable jump-diffusions driven by stable Lévy processes, (iii) complex stochastic Schrödinger equations which correspond to models of quantum open systems. The main results of the book concern the existence, two-sided estimates, path integral representation, and small time and semiclassical asymptotics for the Green functions (or fundamental solutions) of these equations, which represent the transition probability densities of the corresponding random process. The boundary value problem for Hamiltonian systems and some spectral asymptotics ar also discussed. Readers should have an elementary knowledge of probability, complex and functional analysis, and calculus.
| Author | : Jean-Pierre Croisille |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 146 |
| Release | : 1999-12-15 |
| Genre | : Mathematics |
| ISBN | : 9783540668107 |
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.
| Author | : Paul A. Meyer |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 330 |
| Release | : 1995-11-17 |
| Genre | : Mathematics |
| ISBN | : 9783540602705 |
In recent years, the classical theory of stochastic integration and stochastic differential equations has been extended to a non-commutative set-up to develop models for quantum noises. The author, a specialist of classical stochastic calculus and martingale theory, tries to provide an introduction to this rapidly expanding field in a way which should be accessible to probabilists familiar with the Ito integral. It can also, on the other hand, provide a means of access to the methods of stochastic calculus for physicists familiar with Fock space analysis. For this second edition, the author has added about 30 pages of new material, mostly on quantum stochastic integrals.
| Author | : Satya Mandal |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 132 |
| Release | : 1997-10-10 |
| Genre | : Mathematics |
| ISBN | : 9783540635642 |
In these notes on "Projective Modules and Complete Intersections" an account on the recent developments in research on this subject is presented. The author's preference for the technique of Patching isotopic isomorphisms due to Quillen, formalized by Plumsted, over the techniques of elementary matrices is evident here. The treatment of Basic Element theory here incorporates Plumstead's idea of the "generalized dimension functions". These notes are highly selfcontained and should be accessible to any graduate student in commutative algebra or algebraic geometry. They include fully self-contained presentations of the theorems of Ferrand-Szpiro, Cowsik-Nori and the techniques of Lindel.
