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Abelian Varieties, Theta Functions And The Fourier Transform

of its approach lies in the systematic use of the Fourier-Mukai transform. The author starts by discussing the classical theory of theta;

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Theta Functions And Knots

interpretation to a certain induced representation. It also explains how the discrete Fourier transform can be related to 3- and 4-dimensional topology;

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

practice. Additionally, consideration is given to the polynomial expressions and decision diagrams defined in terms of Fourier transform on finite;

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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 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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Nonlinear Ocean Waves and the Inverse Scattering Transform

of linear wave trains. Nonlinear Ocean Waves and the Inverse Scattering Transform presents the development of the nonlinear Fourier analysis;

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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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Fourier Analysis

Fourier transform, is often given a more specific name, which depends upon the domain and other properties of the function being transformed;

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First Course In Fourier Analysis

continuous (univariate) Fourier analysis, the fast Fourier transform, and a powerful elementary theory of generalized functions and shows how these;

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The XFT Quadrature in Discrete Fourier Analysis

of theoretical examples and numerous concrete applications that when computing discrete Fourier transforms of periodic and non periodic functions, the;

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The XFT Quadrature in Discrete Fourier Analysis

of theoretical examples and numerous concrete applications that when computing discrete Fourier transforms of periodic and non periodic functions, the;

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Different Fourier Transforms and Their Applications

their applications. Chapter-2 deals with Discrete Fourier Transform and discusses the development of mathematical theories related to it;

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Distributions, Fourier Transforms And Some Of Their Applications To Physics

emphasis on Hilbert spaces. The author explains how linear differential operators and Fourier transforms naturally fit into this frame, a point;

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Fourier and Laplace Transforms

This textbook presents in a unified manner the fundamentals of both continuous and discrete versions of the Fourier and Laplace transforms;

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Fourier and Laplace Transforms

This textbook presents in a unified manner the fundamentals of both continuous and discrete versions of the Fourier and Laplace transforms;

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Lebesgue Points and Summability of Higher Dimensional Fourier Series

This monograph presents the summability of higher dimensional Fourier series, and generalizes the concept of Lebesgue points. Focusing on;

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Applied Partial Differential Equations With Fourier Series A

equations. Coverage includes Fourier series, orthogonal functions, boundary value problems, Green's functions, and transform methods. This text;

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Fourier Analysis on Groups

overview of the basic theorems of Fourier analysis and the structure of locally compact Abelian groups. Subsequent chapters explore idempotent;

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Fourier Analysis

applications such as the isoperimetric inequality and equidistribution. The second part deals with the Fourier transform and its applications to;

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Simpson's Discrete Fourier Transform

In this text we derive the Simpson Discrete Fourier Transform (SDFT) by applying numerical quadrature to approximate Fourier coefficents;

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Fourier and Wavelet Analysis

This comprehensive volume develops all of the standard features of Fourier analysis - Fourier series, Fourier transform, Fourier sine and;

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Integrable Systems and Algebraic Geometry

related to integrable systems, often emphasizing the deep connections with algebraic geometry. Common themes include theta functions and Abelian;

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Modular Forms and Functions

connexions with the theory of elliptic curves. Modular forms are generalisations of functions like theta functions. They can be expressed as Fourier;

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Arithmetic Compactifications of PEL-Type Shimura Varieties

defining and representing moduli problems of abelian schemes with PEL structures * An analysis of the degeneration of abelian varieties with PEL;

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Abelian Varieties

on Tate's theorem on endomorphisms of abelian varieties over finite fields (by C. P. Ramanujam) and on the Mordell - Weil theorem (by Yuri;

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Complex Multiplication and Lifting Problems

Abelian varieties with complex multiplication lie at the origins of class field theory, and they play a central role in the contemporary;

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