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New Directions in Function Theory: From Complex to Hypercomplex to Non-Commutative

directions in function theory. The papers, written by leading researchers in the field, relate to hypercomplex analysis, Schur analysis and;

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Hypercomplex Analysis

Hypercomplex analysis is the extension of complex analysis to higher dimensions where the concept of a holomorphic function is substituted;

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Geometry Of Mobius Transformations

transformations is provided in a uniform way. This is possible due to an appropriate usage of complex, dual and double numbers which represent all non;

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Complex Numbers in n Dimensions

to the concept of n-dimensional hypercomplex residue. Expressions are given for the elementary functions of n-complex variable. In particular;

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Riemann Hypothesis for Function Fields

Bombieri's proof of the Riemann Hypothesis for function fields, along with an explanation of the connections with Nevanlinna theory and non;

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The Riemann Hypothesis for Function Fields

Bombieri's proof of the Riemann Hypothesis for function fields, along with an explanation of the connections with Nevanlinna theory and non;

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Non-Commutative Analysis

'non-commutative analysis' broadly to include representations of non-Abelian groups, and non-Abelian algebras; emphasis on Lie groups and;

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Non-Commutative Analysis

'non-commutative analysis' broadly to include representations of non-Abelian groups, and non-Abelian algebras; emphasis on Lie groups and;

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From Differential Geometry to Non-commutative Geometry and Topology

This book aims to provide a friendly introduction to non-commutative geometry. It studies index theory from a classical differential;

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Non Associative Normed Algebras

This first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished;

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Linear Systems, Signal Processing and Hypercomplex Analysis

original research by experts in signal processing, linear systems, operator theory, complex and hypercomplex analysis and related topics.;

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Geometry Of Time-spaces

-commutative deformation theory, moduli theory of representations of associative algebras, a new non-commutative theory of phase spaces, and its;

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Corings and Comodules

modules. Introduced by Sweedler in 1975, only recently they have been shown to have far reaching applications ranging from the category theory;

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A Concise Introduction to Hypercomplex Fractals

This book presents concisely the full story on complex and hypercomplex fractals, starting from the very first steps in complex dynamics;

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A Concise Introduction to Hypercomplex Fractals

This book presents concisely the full story on complex and hypercomplex fractals, starting from the very first steps in complex dynamics;

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Topics in Commutative Ring Theory

an accessible introduction to this fascinating area of abstract algebra. Commutative ring theory arose more than a century ago to address;

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Lectures on Matrix Field Theory

experienced researchers by providing a reference guide to the fundamentals of non-commutative field theory with an emphasis on matrix models and fuzzy;

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Topics in Non-Commutative Geometry

There is a well-known correspondence between the objects of algebra and geometry: a space gives rise to a function algebra; a vector bundle;

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Topics in Non-Commutative Geometry

There is a well-known correspondence between the objects of algebra and geometry: a space gives rise to a function algebra; a vector bundle;

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Commutative Algebra

recent results from various areas related to both Noetherian and non-Noetherian commutative algebra. This volume contains a collection of invited;

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Michele Sce's Works in Hypercomplex Analysis

theorem, which is a cornerstone of modern hypercomplex analysis, and is not yet understood in its full generality. This volume is dedicated to;

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Michele Sce's Works in Hypercomplex Analysis

theorem, which is a cornerstone of modern hypercomplex analysis, and is not yet understood in its full generality. This volume is dedicated to;

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Commutative Algebra

recent results from various areas related to both Noetherian and non-Noetherian commutative algebra. This volume contains a;

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Complex Function Theory, Operator Theory, Schur Analysis and Systems Theory

. Contributions include papers in function theory (Favorov-Golinskii, Friedland-Goldman-Yomdin, Kheifets-Yuditskii) , Schur analysis, moment problems and;

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Mathematical Models In Science

ideas first published in Geometry of Time-Spaces: Non-commutative Algebraic Geometry Applied to Quantum Theory (World Scientific, 2011), Olav;

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Operator Analysis

monotonicity results to several variables. In Part II, the book gives an introduction to non-commutative function theory, and shows how model theory;

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Injective Modules and Injective Quotient Rings

theory. This unique and outstanding contribution to the mathematical literature will immediately advance the studies of mathematicians and;

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