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Ramanujan's Lost Notebook

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de George E. Andrews, Bruce C. Berndt ...

In the spring of 1976, George Andrews of Pennsylvania State University visited the library at Trinity College, Cambridge, to examine the papers of the late G.N. Watson. Among these papers, Andrews discovered a sheaf of 138 pages in the handwriting of Srinivasa Ramanujan. This manuscript was soon designated, "Ramanujan's lost notebook." Its discovery has frequently been deemed the mathematical ... Leer más

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In the spring of 1976, George Andrews of Pennsylvania State University visited the library at Trinity College, Cambridge, to examine the papers of the late G.N. Watson. Among these papers, Andrews discovered a sheaf of 138 pages in the handwriting of Srinivasa Ramanujan. This manuscript was soon designated, "Ramanujan's lost notebook." Its discovery has frequently been deemed the mathematical
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Series series Textbooks in Mathematics
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This monograph offers a self-contained introduction to pseudodifferential operators and wavelets over real and p-adic fields.Aimed at graduate students and researchers interested in harmonic analysis over local fields, the topics covered in this book include pseudodifferential operators of principal type and of variable order, semilinear degenerate pseudodifferential boundary value problems (BVPs) ... Leer más

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Series series Mathematics and Statistics (R0)
This book presents the new fascinating area of continuous inequalities. It was recently discovered that several of the classical inequalities can be generalized and given in a more general continuous/family form. The book states, proves and discusses a number of classical inequalities in such continuous/family forms. Moreover, since many of the classical inequalities hold also in a refined form, ... Leer más

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The Stieltjes Integral provides a detailed, rigorous treatment of the Stieltjes integral. This integral is a generalization of the Riemann and Darboux integrals of calculus and undergraduate analysis, and can serve as a bridge between classical and modern analysis. It has applications in many areas, including number theory, statistics, physics, and finance. It begins with the Darboux integral,
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Series Libro 3 - Chapman and Hall/CRC Financial Mathematics Series
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Series series Lecture Notes in Pure and Applied Mathematics
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Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
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Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Over the past six decades, several extremely important fields in mathematics have been developed. Among these are Itôcalculus, Gaussian measures on Banach spaces, Malliavan calculus, and white noise distribution theory. These subjects have many applications, ranging from finance and economics to physics and biology.Unfortunately, the background information required to conduct research in these ... Leer más

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Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
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Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
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Series series Mathematics and Statistics (R0)
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Series series Monographs and Surveys in Pure and Applied Mathematics
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Continuous-Time Markov Jump Linear Systems

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Series series Mathematics and Statistics (R0)
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Series series Mathematics and Statistics (R0)
The theory of distributions constitutes an essential tool in the study of partial differential equations. This textbook would offer, in a concise, largely self-contained form, a rapid introduction to the theory of distributions and its applications to partial differential equations, including computing fundamental solutions for the most basic differential operators: the Laplace, heat, wave, Lam\'e ... Leer más

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de Hamid Reza Noori ...

Series series Mathematics and Statistics (R0)
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The occurrence of hysteresis phenomena has been traditionally associated with mechanical and magnetic properties of materials. However, recent studies on the dynamics of biological processes suggest switch-like behavior that could be described by mathematical models of hysteresis. This book presents the milestones and perspectives of biological hysteresis and provides a comprehensive and
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Series series Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts
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Includes sections on the spectral resolution and spectral representation of self adjoint operators, invariant subspaces, strongly continuous one-parameter semigroups, the index of operators, the trace formula of Lidskii, the Fredholm determinant, and more.Assumes prior knowledge of Naive set theory, linear algebra, point set topology, basic complex variable, and real variables.Includes an appendix
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The Corona Problem

Connections Between Operator Theory, Function Theory, and Geometry

Edición de Eric T. Sawyer, Sergei Treil, Brett D. Wick, Ronald G. Douglas, Steven G. Krantz ...

Series series Mathematics and Statistics (R0)
The purpose of the corona workshop was to consider the corona problem in both one and several complex variables, both in the context of function theory and harmonic analysis as well as the context of operator theory and functional analysis. It was held in June 2012 at the Fields Institute in Toronto, and attended by about fifty mathematicians. This volume validates and commemorates the workshop, ... Leer más

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The purpose of the corona workshop was to consider the corona problem in both one and several complex variables, both in the context of function theory and harmonic analysis as well as the context of operator theory and functional analysis. It was held in June 2012 at the Fields Institute in Toronto, and attended by about fifty mathematicians. This volume validates and commemorates the workshop,
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Stability of Functional Equations in Banach Algebras

de Themistocles M. Rassias, Reza Saadati, Choonkil Park, Yeol Je Cho ...

Series series Mathematics and Statistics (R0)
Some of the most recent and significant results on homomorphisms and derivations in Banach algebras, quasi-Banach algebras, C*-algebras, C*-ternary algebras, non-Archimedean Banach algebras and multi-normed algebras are presented in this book. A brief introduction for functional equations and their stability is provided with historical remarks. Since the homomorphisms and derivations in Banach ... Leer más

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eBooks de Análisis funcional

Ramanujan's Lost Notebook

Functional Analysis

Measure and Integral

Pseudodifferential Operators and Wavelets over Real and p-adic Fields

Continuous Versions of Some Classical Inequalities

The Stieltjes Integral

Foundations of Quantitative Finance: Book III. The Integrals of Riemann, Lebesgue and (Riemann-)Stieltjes

Homogeneous Banach Algebras

An Introduction to Metric Spaces

Stochastic Cauchy Problems in Infinite Dimensions

Tools for Infinite Dimensional Analysis

Spectral and Scattering Theory for Second Order Partial Differential Operators

Asymptotic Formulae in Spectral Geometry

Spectral Theory of Guided Waves

Banach-Space Operators On C*-Probability Spaces Generated by Multi Semicircular Elements

The Mathematical Theory of Time-Harmonic Maxwell's Equations

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Il libro di matematica: volume 1

Continuous-Time Markov Jump Linear Systems

Distributions, Partial Differential Equations, and Harmonic Analysis

Hysteresis Phenomena in Biology

Functional Analysis

The Corona Problem

Stability of Functional Equations in Banach Algebras