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An Introduction to Metric Spaces

de Dhananjay Gopal, Aniruddha Deshmukh, Abhay S Ranadive, Shubham Yadav ...

This book serves as a textbook for an introductory course in metric spaces for undergraduate or graduate students. The goal is to present the basics of metric spaces in a natural and intuitive way and encourage students to think geometrically while actively participating in the learning of this subject. In this book, the authors illustrated the strategy of the proofs of various theorems that ... Leer más

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This book serves as a textbook for an introductory course in metric spaces for undergraduate or graduate students. The goal is to present the basics of metric spaces in a natural and intuitive way and encourage students to think geometrically while actively participating in the learning of this subject. In this book, the authors illustrated the strategy of the proofs of various theorems that
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Stochastic Cauchy Problems in Infinite Dimensions

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de Irina V. Melnikova ...

Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
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Stochastic Cauchy Problems in Infinite Dimensions: Generalized and Regularized Solutions presents stochastic differential equations for random processes with values in Hilbert spaces. Accessible to non-specialists, the book explores how modern semi-group and distribution methods relate to the methods of infinite-dimensional stochastic analysis. It also shows how the idea of regularization in a
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de Jeremy J. Becnel ...

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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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
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Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
The book is intended for students of graduate and postgraduate level, researchers in mathematical sciences as well as those who want to apply the spectral theory of second order differential operators in exterior domains to their own field. In the first half of this book, the classical results of spectral and scattering theory: the selfadjointness, essential spectrum, absolute continuity of the ... Leer más

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The book is intended for students of graduate and postgraduate level, researchers in mathematical sciences as well as those who want to apply the spectral theory of second order differential operators in exterior domains to their own field. In the first half of this book, the classical results of spectral and scattering theory: the selfadjointness, essential spectrum, absolute continuity of the
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Asymptotic Formulae in Spectral Geometry

de Peter B. Gilkey ...

A great deal of progress has been made recently in the field of asymptotic formulas that arise in the theory of Dirac and Laplace type operators. Asymptotic Formulae in Spectral Geometry collects these results and computations into one book. Written by a leading pioneer in the field, it focuses on the functorial and special cases methods of computing asymptotic heat trace and heat content ... Leer más

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Spectral Theory of Guided Waves

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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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The precise mathematical investigation of various natural phenomena is an old and difficult problem. This book is the first to deal systematically with the general non-selfadjoint problems in mechanics and physics. It deals mainly with bounded domains with smooth boundaries, but also considers elliptic boundary value problems in tube domains, i.e. in non-smooth domains. This volume will be of
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Continuous-Time Markov Jump Linear Systems

de Oswaldo Luiz do Valle Costa, Marcelo D. Fragoso, Marcos G. Todorov ...

Series series Mathematics and Statistics (R0)
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Series series Mathematics and Statistics (R0)
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Series series Mathematics and Statistics (R0)
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Series series Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts
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The Corona Problem

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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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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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de Peter A. Loeb ...

Series series Mathematics and Statistics (R0)
This textbook is designed for a year-long course in real analysis taken by beginning graduate and advanced undergraduate students in mathematics and other areas such as statistics, engineering, and economics. Written by one of the leading scholars in the field, it elegantly explores the core concepts in real analysis and introduces new, accessible methods for both students and instructors.The ... Leer más

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Writing Proofs in Analysis

de Jonathan M. Kane ...

Series series Mathematics and Statistics (R0)
This is a textbook on proof writing in the area of analysis, balancing a survey of the core concepts of mathematical proof with a tight, rigorous examination of the specific tools needed for an understanding of analysis. Instead of the standard "transition" approach to teaching proofs, wherein students are taught fundamentals of logic, given some common proof strategies such as mathematical ... Leer más

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This is a textbook on proof writing in the area of analysis, balancing a survey of the core concepts of mathematical proof with a tight, rigorous examination of the specific tools needed for an understanding of analysis. Instead of the standard "transition" approach to teaching proofs, wherein students are taught fundamentals of logic, given some common proof strategies such as mathematical
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de Saburou Saitoh, Yoshihiro Sawano ...

Series series Mathematics and Statistics (R0)
This book provides a large extension of the general theory of reproducing kernels published by N. Aronszajn in 1950, with many concrete applications.In Chapter 1, many concrete reproducing kernels are first introduced with detailed information. Chapter 2 presents a general and global theory of reproducing kernels with basic applications in a self-contained way. Many fundamental operations among ... Leer más

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This book provides a large extension of the general theory of reproducing kernels published by N. Aronszajn in 1950, with many concrete applications.In Chapter 1, many concrete reproducing kernels are first introduced with detailed information. Chapter 2 presents a general and global theory of reproducing kernels with basic applications in a self-contained way. Many fundamental operations among
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Functional Analysis in Interdisciplinary Applications

Astana, Kazakhstan, October 2017

Edición de Tynysbek Sh. Kalmenov, Erlan D. Nursultanov, Michael V. Ruzhansky, Makhmud A. Sadybekov ...

Series series Springer Nature Proceedings excluding Computer Science
This volume presents current research in functional analysis and its applications to a variety of problems in mathematics and mathematical physics. The book contains over forty carefully refereed contributions to the conference “Functional Analysis in Interdisciplinary Applications” (Astana, Kazakhstan, October 2017). Topics covered include the theory of functions and functional spaces; ... Leer más

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This volume presents current research in functional analysis and its applications to a variety of problems in mathematics and mathematical physics. The book contains over forty carefully refereed contributions to the conference “Functional Analysis in Interdisciplinary Applications” (Astana, Kazakhstan, October 2017). Topics covered include the theory of functions and functional spaces;
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Open Conformal Systems and Perturbations of Transfer Operators

de Mark Pollicott, Mariusz Urbański ...

Series series Mathematics and Statistics (R0)
The focus of this book is on open conformal dynamical systems corresponding to the escape of a point through an open Euclidean ball. The ultimate goal is to understand the asymptotic behavior of the escape rate as the radius of the ball tends to zero. In the case of hyperbolic conformal systems this has been addressed by various authors. The conformal maps considered in this book are far more ... Leer más

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Mathematical Analysis and Applications—Plenary Lectures

ISAAC 2017, Växjö, Sweden

Edición de Luigi G. Rodino, Joachim Toft ...

Series series Springer Nature Proceedings excluding Computer Science
This book includes the texts of the survey lectures given by plenary speakers at the 11th International ISAAC Congress held in Växjö, Sweden, on 14-18 August, 2017. It is the purpose of ISAAC to promote analysis, its applications, and its interaction with computation. Analysis is understood here in the broad sense of the word, including differential equations, integral equations, functional ... Leer más

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The Functional Analysis of Quantum Information Theory

A Collection of Notes Based on Lectures by Gilles Pisier, K. R. Parthasarathy, Vern Paulsen and Andreas Winter

de Ved Prakash Gupta, Prabha Mandayam, V.S. Sunder ...

Series series Physics and Astronomy (R0)
This book provides readers with a concise introduction to current studies on operator-algebras and their generalizations, operator spaces and operator systems, with a special focus on their application in quantum information science. This basic framework for the mathematical formulation of quantum information can be traced back to the mathematical work of John von Neumann, one of the pioneers of ... Leer más

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This book provides readers with a concise introduction to current studies on operator-algebras and their generalizations, operator spaces and operator systems, with a special focus on their application in quantum information science. This basic framework for the mathematical formulation of quantum information can be traced back to the mathematical work of John von Neumann, one of the pioneers of
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Geometric Properties for Parabolic and Elliptic PDE's

GPPEPDEs, Palinuro, Italy, May 2015

Edición de Filippo Gazzola, Kazuhiro Ishige, Carlo Nitsch, Paolo Salani ...

Series series Springer Nature Proceedings excluding Computer Science
This book collects recent research papers by respected specialists in the field. It presents advances in the field of geometric properties for parabolic and elliptic partial differential equations, an area that has always attracted great attention. It settles the basic issues (existence, uniqueness, stability and regularity of solutions of initial/boundary value problems) before focusing on the ... Leer más

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This book collects recent research papers by respected specialists in the field. It presents advances in the field of geometric properties for parabolic and elliptic partial differential equations, an area that has always attracted great attention. It settles the basic issues (existence, uniqueness, stability and regularity of solutions of initial/boundary value problems) before focusing on the
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Spectral and Scattering Theory for Second Order Partial Differential Operators

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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

Completeness of Root Functions of Regular Differential Operators

Il libro di matematica: volume 1

Continuous-Time Markov Jump Linear Systems

Distributions, Partial Differential Equations, and Harmonic Analysis

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Stability of Functional Equations in Banach Algebras

Real Analysis

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Theory of Reproducing Kernels and Applications

Functional Analysis in Interdisciplinary Applications

Open Conformal Systems and Perturbations of Transfer Operators

Mathematical Analysis and Applications—Plenary Lectures

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Geometric Properties for Parabolic and Elliptic PDE's