Representations, Wavelets, and Frames contains chapters pertaining to this theme from experts and expositors of renown in mathematical analysis and representation theory.
This volume consists of a collection of articles for the proceedings of the 40th Taniguchi Symposium Analysis and Geometry in Several Complex Variables held in Katata, Japan, on June 23-28, 1997.
Semisimple Lie groups, and their algebraic analogues over fields other than the reals, are of fundamental importance in geometry, analysis, and mathematical physics.
The Brexit vote; the election of Trump; the upsurge of European nationalism; the devolution of the Arab Spring; global violence; Chinese expansionism; disruptive climate change; the riotous instabilities of the world capitalist system.
This Second Edition presents and details the process of quantization of a classical mechanical system in a relevant physical system, the harmonic oscillator.
Dirac operators play an important role in several domains of mathematics and physics, for example: index theory, elliptic pseudodifferential operators, electromagnetism, particle physics, and the representation theory of Lie groups.
Introduction to Special Functions for Applied Mathematics introduces readers to the topic of special functions, with a particular focus on applications.
Previous publications on the generalization of the Thomae formulae to Zn curves have emphasized the theory's implications in mathematical physics and depended heavily on applied mathematical techniques.
This monograph is the first comprehensive treatment of multiplicity-free induced representations of finite groups as a generalization of finite Gelfand pairs.
This book is intended for a graduate course in complex analysis, where the main focus is the theory of complex-valued functions of a single complex variable.
This book investigates the close relation between quite sophisticated function spaces, the regularity of solutions of partial differential equations (PDEs) in these spaces and the link with the numerical solution of such PDEs.
Complex analysis is a classic and central area of mathematics, which is studies and exploited in a range of important fields, from number theory to engineering.
The book presents a research area in geometric function theory concerned with harmonic quasiconformal mappings and hyperbolic type metrics defined on planar and multidimensional domains.
Broadly organized around the applications of Fourier analysis, Methods of Applied Mathematics with a MATLAB Overview covers both classical applications in partial differential equations and boundary value problems, as well as the concepts and methods associated to the Laplace, Fourier, and discrete transforms.
Generating random networks efficiently and accurately is an important challenge for practical applications, and an interesting question for theoretical study.
This text is aimed at graduate students in mathematics and to interested researchers who wish to acquire an in depth understanding of Euclidean Harmonic analysis.
