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Topics In Complex Function Theory

theory, continues with automorphic functions and the theory of abelian integrals and ends with the theory of abelian functions and modular;

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London Mathematical Society Lecture Note Series

The study of abelian manifolds forms a natural generalization of the theory of elliptic functions, that is, of doubly periodic functions;

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Abelian Varieties with Complex Multiplication and Modular Functions

laws in terms of abelian varieties, theta functions, and modular functions of several variables, including Siegel modular functions. This;

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Fourier Analysis on Finite Groups with Applications in Signal Processing and System Design

This book lets you discover applications of Fourier analysis on finite non Abelian groups. The majority of publications in spectral;

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Fourier Analysis on Finite Abelian Groups

application of the [discrete] Fourier transform to finite Abelian groups. With countless examples and unique exercise sets at the end of each section;

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The Pinch Technique and Its Applications to Non-Abelian Gauge Theories

Non-Abelian gauge theories, such as quantum chromodynamics (QCD) or electroweak theory, are best studied with the aid of Green's functions;

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On Riemann's Theory of Algebraic Functions and Their Integrals

this book, a consideration of the investigations in the first part of Riemann's Theory of Abelian Functions, is a prime example of his;

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Introduction to Arithmetic Theory of Automorphic Functions

associate zeta functions to modular forms. At a more advanced level, complex multiplication of elliptic curves and abelian varieties is discussed;

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Conference On L-functions, The

-abelian L-functions.;

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Methods of the Theory of Generalized Functions

Poisson integral transforms and operational calculus, with the traditional material augmented by the theory of Fourier series, abelian theorems;

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Methods of the Theory of Generalized Functions

Poisson integral transforms and operational calculus, with the traditional material augmented by the theory of Fourier series, abelian theorems;

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Oeuvres completes de Niels Henrik Abel

in diverse areas such as algebra, analysis, geometry and mechanics has made the adjective 'abelian' a commonplace in mathematical writing. These;

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Abelian Groups

developments in the most active areas of abelian groups, particularly in torsion-free abelian groups.;For both researchers and graduate students, it;

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Theta Functions And Knots

learn how the two are related. Those interested in ChernSimons theory will find here an introduction using the simplest case, that of abelian;

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Abelian Groups

This monograph covers in a comprehensive manner the current state of classification theory with respect to infinite abelian groups. A wide;

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Introduction To Lambda Trees

abelian group. Since then there has been much progress in understanding the structure of groups acting on R-trees, notably Rips' theorem on free;

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Elementary and Analytic Theory of Algebraic Numbers

of prime ideals, Abelian fields, the class-number of quadratic fields, and factorization problems. The book also features exercises and a list;

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Abelian Varieties, Theta Functions And The Fourier Transform

The aim of this book is to present a modern treatment of the theory of theta functions in the contex;...

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Maximal Abelian Sets of Roots

In this work the author lets $Phi$ be an irreducible root system, with Coxeter group $W$. He considers subsets of $Phi$ which are abelian;

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Abelian Varieties

results about abelian varieties. It includes expositions of analytic methods applicable over the ground field of complex numbers, as well as;

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On the Class Number of Abelian Number Fields

the first time. The book addresses three main topics: class number formulas for abelian number fields; expressions of the class number;

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Abelian Functions

Classical algebraic geometry, inseparably connected with the names of Abel, Riemann, Weierstrass, Po;...

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Periodic Locally Compact Groups

of locally compact near abelian groups, pointing out some of its connections with number theory and graph theory and illustrating it by a large;

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Asymptotic Behavior Of Generalized Functions

differential equations, Abelian and Tauberian type theorems for integral transforms as well as for the summability of Fourier series and integrals. The;

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Abelian Groups, Module Theory, and Topology

Features a stimulating selection of papers on abelian groups, commutative and noncommutative rings and their modules, and topological;

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Non-Abelian Fundamental Groups And Iwasawa Theory

Number theory currently has at least three different perspectives on non-abelian phenomena: the Langlands programme, non-commutative;

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Algebraic Curves and Cryptography

It is by now a well-known paradigm that public-key cryptosystems can be built using finite Abelian groups and that algebraic geometry;

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