Generalized Analytic Automorphic Forms in Hypercomplex Spaces
Generalized Analytic Automorphic Forms in Hypercomplex Spaces

Author: Rolf S. Krausshar

Publisher: Springer Science & Business Media

Published: 2004-02-23

Total Pages: 194

ISBN-13: 9783764370596

DOWNLOAD EBOOK

This book offers basic theory on hypercomplex-analytic automorphic forms and functions for arithmetic subgroups of the Vahlen group in higher dimensional spaces. Vector- and Clifford algebra-valued Eisenstein and Poincaré series are constructed within this framework and a detailed description of their analytic and number theoretical properties is provided. It establishes explicit relationships to generalized variants of the Riemann zeta function and Dirichlet L-series, and introduces hypercomplex multiplication of lattices.

Complex Convexity and Analytic Functionals
Complex Convexity and Analytic Functionals

Author: Mats Andersson

Publisher: Springer Science & Business Media

Published: 2004-04-23

Total Pages: 182

ISBN-13: 9783764324209

DOWNLOAD EBOOK

Puts theory of complex linear convexity on a solid footing, and gives a survey of its status. Applications include the Fantappie transformation of analytic functionals, integral representation formulas, polynomial interpolation, and solutions to linear partial differential equations.

Topics in Clifford Analysis
Topics in Clifford Analysis

Author: Swanhild Bernstein

Publisher: Springer Nature

Published: 2019-10-15

Total Pages: 509

ISBN-13: 3030238547

DOWNLOAD EBOOK

Quaternionic and Clifford analysis are an extension of complex analysis into higher dimensions. The unique starting point of Wolfgang Sprößig’s work was the application of quaternionic analysis to elliptic differential equations and boundary value problems. Over the years, Clifford analysis has become a broad-based theory with a variety of applications both inside and outside of mathematics, such as higher-dimensional function theory, algebraic structures, generalized polynomials, applications of elliptic boundary value problems, wavelets, image processing, numerical and discrete analysis. The aim of this volume is to provide an essential overview of modern topics in Clifford analysis, presented by specialists in the field, and to honor the valued contributions to Clifford analysis made by Wolfgang Sprößig throughout his career.

Rings, Modules, and the Total
Rings, Modules, and the Total

Author: Friedrich Kasch

Publisher: Springer Science & Business Media

Published: 2004-06-25

Total Pages: 154

ISBN-13: 9783764371258

DOWNLOAD EBOOK

Accessible to anyone with a basic knowledge of ring and module theory A short introduction to torsion-free Abelian groups is included

Invariant Probabilities of Markov-Feller Operators and Their Supports
Invariant Probabilities of Markov-Feller Operators and Their Supports

Author: Radu Zaharopol

Publisher: Springer Science & Business Media

Published: 2005-01-28

Total Pages: 1008

ISBN-13: 9783764371340

DOWNLOAD EBOOK

This book covers invariant probabilities for a large class of discrete-time homogeneous Markov processes known as Feller processes. These Feller processes appear in the study of iterated function systems with probabilities, convolution operators, and certain time series. From the reviews: "A very useful reference for researchers wishing to enter the area of stationary Markov processes both from a probabilistic and a dynamical point of view." --MONATSHEFTE FÜR MATHEMATIK

Hypercomplex Analysis and Applications
Hypercomplex Analysis and Applications

Author: Irene Sabadini

Publisher: Springer Science & Business Media

Published: 2010-12-20

Total Pages: 280

ISBN-13: 3034602464

DOWNLOAD EBOOK

The purpose of the volume is to bring forward recent trends of research in hypercomplex analysis. The list of contributors includes first rate mathematicians and young researchers working on several different aspects in quaternionic and Clifford analysis. Besides original research papers, there are papers providing the state-of-the-art of a specific topic, sometimes containing interdisciplinary fields. The intended audience includes researchers, PhD students, postgraduate students who are interested in the field and in possible connection between hypercomplex analysis and other disciplines, including mathematical analysis, mathematical physics, algebra.

The Mathematics of Minkowski Space-Time
The Mathematics of Minkowski Space-Time

Author: Francesco Catoni

Publisher: Springer Science & Business Media

Published: 2008-06-29

Total Pages: 267

ISBN-13: 3764386142

DOWNLOAD EBOOK

This book arose out of original research on the extension of well-established applications of complex numbers related to Euclidean geometry and to the space-time symmetry of two-dimensional Special Relativity. The system of hyperbolic numbers is extensively studied, and a plain exposition of space-time geometry and trigonometry is given. Commutative hypercomplex systems with four unities are studied and attention is drawn to their interesting properties.

Recent Advances in Computational and Applied Mathematics
Recent Advances in Computational and Applied Mathematics

Author: Theodore E. Simos

Publisher: Springer Science & Business Media

Published: 2010-10-10

Total Pages: 315

ISBN-13: 9048199816

DOWNLOAD EBOOK

This multi-author contributed proceedings volume contains recent advances in several areas of Computational and Applied Mathematics. Each review is written by well known leaders of Computational and Applied Mathematics. The book gives a comprehensive account of a variety of topics including – Efficient Global Methods for the Numerical Solution of Nonlinear Systems of Two point Boundary Value Problems; Advances on collocation based numerical methods for Ordinary Differential Equations and Volterra Integral Equations; Basic Methods for Computing Special Functions, Melt Spinning: Optimal Control and Stability Issues; Brief survey on the CP methods for the Schrödinger equation; Symplectic Partitioned Runge-Kutta methods for the numerical integration of periodic and oscillatory problems. Recent Advances in Computational and Applied Mathematics is aimed at advanced undergraduates and researchers who are working in these fast moving fields.

Symmetry in Finite Generalized Quadrangles
Symmetry in Finite Generalized Quadrangles

Author: Koen Thas

Publisher: Springer Science & Business Media

Published: 2004-01-26

Total Pages: 246

ISBN-13: 9783764361587

DOWNLOAD EBOOK

This monograph classifies finite generalized quadrangles by symmetry, generalizing the celebrated Lenz-Barlotti classification for projective planes. The book introduces combinatorial, geometrical and group-theoretical concepts that arise in the classification and in the general theory of finite generalized quadrangles, including automorphism groups, elation and translation generalized quadrangles, generalized ovals and generalized ovoids, span-symmetric generalized quadrangles, flock geometry and property (G), regularity and nets, split BN-pairs of rank 1, and the Moufang property.

Gradient Flows
Gradient Flows

Author: Luigi Ambrosio

Publisher: Springer Science & Business Media

Published: 2005-01-28

Total Pages: 348

ISBN-13: 9783764324285

DOWNLOAD EBOOK

This book is devoted to a theory of gradient ?ows in spaces which are not nec- sarily endowed with a natural linear or di?erentiable structure. It is made of two parts, the ?rst one concerning gradient ?ows in metric spaces and the second one 2 1 devoted to gradient ?ows in the L -Wasserstein space of probability measures on p a separable Hilbert space X (we consider the L -Wasserstein distance, p? (1,?), as well). The two parts have some connections, due to the fact that the Wasserstein space of probability measures provides an important model to which the “metric” theory applies, but the book is conceived in such a way that the two parts can be read independently, the ?rst one by the reader more interested to Non-Smooth Analysis and Analysis in Metric Spaces, and the second one by the reader more oriented to theapplications in Partial Di?erential Equations, Measure Theory and Probability.