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On Hyperbolic Q Classes

On Hyperbolic Q Classes PDF

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Author: Xiaonan Li
Publisher:
ISBN:
Size: 75.40 MB
Format: PDF, Kindle
Category : Exponential functions
Languages : en
Pages : 65
View: 5674

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Geometric Qp Functions

Geometric Qp Functions PDF

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Author: Jie Xiao
Publisher: Springer Science & Business Media
ISBN: 9783764377632
Size: 25.12 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 241
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Book Description: This book documents the rich structure of the holomorphic Q function spaces which are geometric in the sense that they transform naturally under conformal mappings, with particular emphasis on recent development based on interaction between geometric function and measure theory and other branches of mathematical analysis, including potential theory, harmonic analysis, functional analysis, and operator theory. Largely self-contained, the book functions as an instructional and reference work for advanced courses and research in conformal analysis, geometry, and function spaces. Self-contained, the book functions as an instructional and reference work for advanced courses and research in conformal analysis, geometry, and function spaces.


Differential Algebra Complex Analysis And Orthogonal Polynomials

Differential Algebra  Complex Analysis and Orthogonal Polynomials PDF

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Author: Francisco Marcellán
Publisher: American Mathematical Soc.
ISBN: 0821848860
Size: 50.26 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 231
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Book Description: This volume represents the 2007-2008 Jairo Charris Seminar in Algebra and Analysis on Differential Algebra, Complex Analysis and Orthogonal Polynomials, which was held at the Universidad Sergio Arboleda in Bogota, Colombia. It provides the state of the art in the theory of Integrable Dynamical Systems based on such approaches as Differential Galois Theory and Lie Groups as well as some recent developments in the theory of multivariable and q-orthogonal polynomials, weak Hilbert's 16th Problem, Singularity Theory, Tournaments in flag manifolds, and spaces of bounded analytic functions on the unit circle. The reader will also find survey presentations, an account of recent developments, and the exposition of new trends in the areas of Differential Galois Theory, Integrable Dynamical Systems, Orthogonal Polynomials and Special Functions, and Bloch - Bergman classes of analytic functions from a theoretical and an applied perspective. The contributions present new results and methods, as well as applications and open problems, to foster interest in research in these areas.


A Gyrovector Space Approach To Hyperbolic Geometry

A Gyrovector Space Approach to Hyperbolic Geometry PDF

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Author: Abraham A. Ungar
Publisher: Morgan & Claypool Publishers
ISBN: 1598298224
Size: 29.23 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 182
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Book Description: The mere mention of hyperbolic geometry is enough to strike fear in the heart of the undergraduate mathematics and physics student. Some regard themselves as excluded from the profound insights of hyperbolic geometry so that this enormous portion of human achievement is a closed door to them. The mission of this book is to open that door by making the hyperbolic geometry of Bolyai and Lobachevsky, as well as the special relativity theory of Einstein that it regulates, accessible to a wider audience in terms of novel analogies that the modern and unknown share with the classical and familiar. These novel analogies that this book captures stem from Thomas gyration, which is the mathematical abstraction of the relativistic effect known as Thomas precession. Remarkably, the mere introduction of Thomas gyration turns Euclidean geometry into hyperbolic geometry, and reveals mystique analogies that the two geometries share. Accordingly, Thomas gyration gives rise to the prefix "gyro" that is extensively used in the gyrolanguage of this book, giving rise to terms like gyrocommutative and gyroassociative binary operations in gyrogroups, and gyrovectors in gyrovector spaces. Of particular importance is the introduction of gyrovectors into hyperbolic geometry, where they are equivalence classes that add according to the gyroparallelogram law in full analogy with vectors, which are equivalence classes that add according to the parallelogram law. A gyroparallelogram, in turn, is a gyroquadrilateral the two gyrodiagonals of which intersect at their gyromidpoints in full analogy with a parallelogram, which is a quadrilateral the two diagonals of which intersect at their midpoints. Table of Contents: Gyrogroups / Gyrocommutative Gyrogroups / Gyrovector Spaces / Gyrotrigonometry


Vuosikirja

Vuosikirja PDF

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Author: Suomalainen Tiedeakatemia
Publisher:
ISBN:
Size: 49.10 MB
Format: PDF, Docs
Category : Science
Languages : en
Pages :
View: 5608

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