An investigation of finite Riemann surfaces from the point of view of functional analysis, that is, the study of the various Abelian differentials of the surface in their dependence on the surface itself.
This book provides the first coherent account of the area of analysis that involves the Heisenberg group, quantization, the Weyl calculus, the metaplectic representation, wave packets, and related concepts.
This book contains an exposition of some of the main developments of the last twenty years in the following areas of harmonic analysis: singular integral and pseudo-differential operators, the theory of Hardy spaces, L\sup\ estimates involving oscillatory integrals and Fourier integral operators, relations of curvature to maximal inequalities, and connections with analysis on the Heisenberg group.
Princeton University's Elias Stein was the first mathematician to see the profound interconnections that tie classical Fourier analysis to several complex variables and representation theory.
This book explores the most recent developments in the theory of planar quasiconformal mappings with a particular focus on the interactions with partial differential equations and nonlinear analysis.
Modular Forms and Special Cycles on Shimura Curves is a thorough study of the generating functions constructed from special cycles, both divisors and zero-cycles, on the arithmetic surface "e;M"e; attached to a Shimura curve "e;M"e; over the field of rational numbers.
En este libro se hace una indagacion de corte historico-epistemologico de algunos desarrollos del analisis, la teoria de funciones y el analisis funcional en el siglo XIX y los inicios del siglo XX, cuando estas tres disciplinas se posesionan como ramas importantes de las matematicas.
Sobolev Spaces presents an introduction to the theory of Sobolev Spaces and other related spaces of function, also to the imbedding characteristics of these spaces.
A step-by-step illustrated introduction to the astounding mathematics of symmetryThis lavishly illustrated book provides a hands-on, step-by-step introduction to the intriguing mathematics of symmetry.
Building on the success of the two previous editions, Introduction to Hilbert Spaces with Applications, Third Edition, offers an overview of the basic ideas and results of Hilbert space theory and functional analysis.
Building on the basic concepts through a careful discussion of covalence, (while adhering resolutely to sequences where possible), the main part of the book concerns the central topics of continuity, differentiation and integration of real functions.
Fourier Analysis and Boundary Value Problems provides a thorough examination of both the theory and applications of partial differential equations and the Fourier and Laplace methods for their solutions.
This text provides a thorough explanation of the underlying principles of spectral analysis and the full range of estimation techniques used in engineering.
Este texto está dirigido a estudiantes de ingenierías o alumnos de secundaria que deseen complementar sus conocimientos sobre las funciones algebraicas.
En esta obra se aborda un capítulo de la historia de las matemáticas, haciendo énfasis en un periodo de veinte años: la última década del siglo XIX y la primera del siglo XX.
En este texto, Introducción al análisis funcional, se tratan los temas clásicos del análisis funcional utilizado en diversos campos de la ciencia y la tecnología.
El contenido está orientado hacia algunas matemáticas usadas en los diferentes espacios académicos de los programas de Economía, ya que aporta aplicaciones que contribuyen al estudio de elementos básicos de teoría de matrices, funciones multivariadas y métodos de optimización con y sin restricción.
"En esta obra se explican los aspectos fundamentales de la transformada de Radon: su historia, conceptos básicos, propiedades, el paso a paso de su desarrollo y su transformada inversa en R^2 y en R^n, con gráficas y resultados.
Este es un texto que contiene una exposición axiomática de la teoría general de espacios vectoriales topológicos y trata con profundidad algunos aspectos de la teoría y, asimismo, muestra varios ejemplos interesantes de aplicación a otras ramas de la Matemática.
Die Glücksritter - Josef Freiherr von Eichendorff - 1788 auf Schloss Lubowitz bei Ratibor als Sohn eines preußischen Offiziers geboren, genießt Joseph Karl Benedikt Freiherr von Eichendorff eine aristokratisch-katholische Erziehung und schließt 1812 - gemeinsam mit seinem Bruder - das Studium der Rechtwissenschaft ab und nimmt als Leutnant im Lützowschen Freikorps am Befreiungskrieg teil.
"e;Chemists familiar with conventional quantum mechanics will applaud and benefit greatly from this particularly instructive, thorough and clearly written exposition of density functional theory: its basis, concepts, terms, implementation, and performance in diverse applications.
In this comprehensive monograph, the authors apply modern mathematical methods to the study of mechanical and physical phenomena or techniques in acoustics, optics, and electrostatics, where classical mathematical tools fail.
In this comprehensive monograph, the authors apply modern mathematical methods to the study of mechanical and physical phenomena or techniques in acoustics, optics, and electrostatics, where classical mathematical tools fail.
A step-by-step illustrated introduction to the astounding mathematics of symmetryThis lavishly illustrated book provides a hands-on, step-by-step introduction to the intriguing mathematics of symmetry.
A guide to the new research in the field of fractional order analysis Fractional Order Analysis contains the most recent research findings in fractional order analysis and its applications.
A guide to the new research in the field of fractional order analysis Fractional Order Analysis contains the most recent research findings in fractional order analysis and its applications.
An authoritative text that presents the current problems, theories, and applications of mathematical analysis research Mathematical Analysis and Applications: Selected Topics offers the theories, methods, and applications of a variety of targeted topics including: operator theory, approximation theory, fixed point theory, stability theory, minimization problems, many-body wave scattering problems, Basel problem, Corona problem, inequalities, generalized normed spaces, variations of functions and sequences, analytic generalizations of the Catalan, Fuss, and Fuss Catalan Numbers, asymptotically developable functions, convex functions, Gaussian processes, image analysis, and spectral analysis and spectral synthesis.
An authoritative text that presents the current problems, theories, and applications of mathematical analysis research Mathematical Analysis and Applications: Selected Topics offers the theories, methods, and applications of a variety of targeted topics including: operator theory, approximation theory, fixed point theory, stability theory, minimization problems, many-body wave scattering problems, Basel problem, Corona problem, inequalities, generalized normed spaces, variations of functions and sequences, analytic generalizations of the Catalan, Fuss, and Fuss Catalan Numbers, asymptotically developable functions, convex functions, Gaussian processes, image analysis, and spectral analysis and spectral synthesis.
Based on updates to signal and image processing technology made in the last two decades, this text examines the most recent research results pertaining to Quaternion Fourier Transforms.
Based on updates to signal and image processing technology made in the last two decades, this text examines the most recent research results pertaining to Quaternion Fourier Transforms.
Theoretical Foundations of Functional Data Analysis, with an Introduction to Linear Operators provides a uniquely broad compendium of the key mathematical concepts and results that are relevant for the theoretical development of functional data analysis (FDA).
