Las algebras de Clifford fueron introducidas en el siglo XIX por fisicos y matematicos en varios intentos de proporcionar un buen fundamento para el calculo geometrico en el espacio euclidiano. El analisis de Clifford como refinamiento del analisis armonico y generaliza... Lees meer.

This monograph provides an introduction to the theory of Clifford algebras with an emphasis on its connections with the theory of Lie groups and Lie algebras.... Lees meer.

This new book contains the most up-to-date and focused description of the applications of Clifford algebras in analysis particularly classical harmonic analysis. It is the first single volume devoted to applications of Clifford analysis to other aspects of analysis. Al... Lees meer.

These papers represent a survey of developments around Clifford Analysis and its applications to theoretical physics. This book should appeal to physicists and mathematicians working in areas involving functions of complex variables associative rings and algebras inte... Lees meer.

Clifford algebras have many well-known applications in physics engineering and computer graphics. Zeon algebras are subalgebras of Clifford algebras whose combinatorial properties lend them to graph-theoretic applications such as enumerating minimal cost paths in dyna... Lees meer.

The aim of this book is to unite the seemingly disparate topics of Clifford algebras analysis on manifolds and harmonic analysis. The authors show how algebra geometry and differential equations all play a more fundamental role in Euclidean Fourier analysis than has b... Lees meer.

This book is unique compared to the existing literature. It is very didactical and accessible to both students and researchers without neglecting the formal character and the deep algebraic completeness of the topic along with its physical applications. This text ex... Lees meer.

This volume is based on a conference entitled Clifford Algebras in Analysis held in Fayetteville Arkansas during the Easter weekend April 8 10th 1993. The conference deals almost exclusively with the impact of Clifford analysis on harmonic analysis. This new bo... Lees meer.

It thereby makes the study of physics more efficient and the research more penetrating and it suggests resolutions to a major physics problem of the twentieth century namely how to unite quantum theory and gravity. This volume is an outgrowth of the 1995 Summer Sch... Lees meer.

The second part of a two-volume set concerning the field of Clifford geometric algebra this work consists of thematically organized chapters that provide a broad overview of cutting-edge topics in mathematical physics and the physical applications of Clifford algebra... Lees meer.

This book offers novel insights through operator-algebraic and free-probabilistic models. By employing these innovative methods the author sheds new light on the intrinsic connections between Clifford algebras and various mathematical domains. Classical Clifford Al... Lees meer.

This book provides a unique pedagogical introduction to clifford algebras with a focus on spinors. It bridges the gap between mathematics and physics merging both applications and the formal approach. It provides detailed worked examples throughout to help understand... Lees meer.

Classical Clifford Algebras. Operator-Algebraic and Free-Probabilistic Approaches offers novel insights through operator-algebraic and free-probabilistic models. By employing these innovative methods the author sheds new light on the intrinsic connections between Clif... Lees meer.