Operator Theory in Harmonic and Non-commutative Analysis
Operator Theory in Harmonic and Non-commutative Analysis

Author: Joseph A. Ball

Publisher: Springer

Published: 2014-06-21

Total Pages: 260

ISBN-13: 3319062662

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This book contains the proceedings of the 23rd International Workshop on Operator Theory and its Applications (IWOTA 2012), which was held at the University of New South Wales (Sydney, Australia) from 16 July to 20 July 2012. It includes twelve articles presenting both surveys of current research in operator theory and original results.

Weighted Littlewood-Paley Theory and Exponential-Square Integrability
Weighted Littlewood-Paley Theory and Exponential-Square Integrability

Author: Michael Wilson

Publisher: Springer Science & Business Media

Published: 2008

Total Pages: 233

ISBN-13: 3540745823

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Littlewood-Paley theory is an essential tool of Fourier analysis, with applications and connections to PDEs, signal processing, and probability. It extends some of the benefits of orthogonality to situations where orthogonality doesn’t really make sense. It does so by letting us control certain oscillatory infinite series of functions in terms of infinite series of non-negative functions. Beginning in the 1980s, it was discovered that this control could be made much sharper than was previously suspected. The present book tries to give a gentle, well-motivated introduction to those discoveries, the methods behind them, their consequences, and some of their applications.

Parameter Estimation in Stochastic Differential Equations
Parameter Estimation in Stochastic Differential Equations

Author: Jaya P. N. Bishwal

Publisher: Springer

Published: 2007-09-26

Total Pages: 271

ISBN-13: 3540744487

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Parameter estimation in stochastic differential equations and stochastic partial differential equations is the science, art and technology of modeling complex phenomena. The subject has attracted researchers from several areas of mathematics. This volume presents the estimation of the unknown parameters in the corresponding continuous models based on continuous and discrete observations and examines extensively maximum likelihood, minimum contrast and Bayesian methods.

Tutorials in Mathematical Biosciences IV
Tutorials in Mathematical Biosciences IV

Author: Avner Friedman

Publisher: Springer

Published: 2008-04-26

Total Pages: 215

ISBN-13: 3540743316

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This book offers an introduction to fast growing research areas in evolution of species, population genetics, ecological models, and population dynamics. It reviews the concept and methodologies of phylogenetic trees, introduces ecological models, examines a broad range of ongoing research in population dynamics, and deals with gene frequencies under the action of migration and selection. The book features computational schemes, illustrations, and mathematical theorems.

Probability and Real Trees
Probability and Real Trees

Author: Steven N. Evans

Publisher: Springer

Published: 2007-09-26

Total Pages: 205

ISBN-13: 3540747982

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Random trees and tree-valued stochastic processes are of particular importance in many fields. Using the framework of abstract "tree-like" metric spaces and ideas from metric geometry, Evans and his collaborators have recently pioneered an approach to studying the asymptotic behavior of such objects when the number of vertices goes to infinity. This publication surveys the relevant mathematical background and present some selected applications of the theory.

Quantum Potential Theory
Quantum Potential Theory

Author: Philippe Biane

Publisher: Springer Science & Business Media

Published: 2008-09-23

Total Pages: 467

ISBN-13: 3540693645

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This book offers the revised and completed notes of lectures given at the 2007 conference, "Quantum Potential Theory: Structures and Applications to Physics." These lectures provide an introduction to the theory and discuss various applications.

Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds
Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds

Author: Alexander Isaev

Publisher: Springer

Published: 2007-03-11

Total Pages: 149

ISBN-13: 3540691537

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In this monograph the author presents a coherent exposition of recent results on complete characterization of Kobayashi-hyperbolic manifolds with high-dimensional groups of holomorphic automorphisms. These classification results can be viewed as complex-geometric analogues of those known for Riemannian manifolds with high-dimensional isotropy groups that were extensively studied in the 1950s-70s.