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Direct and Inverse Problems with Applications

Extended Abstracts of the 2024 GAP Center Summer School

Edición de Marianna Chatzakou, Michael Ruzhansky, Karel Van Bockstal ...

Series series Springer Nature Proceedings excluding Computer Science
This volume presents the extended abstracts from the 2024 Summer School organized by the Ghent Analysis and PDE Center. The school focused on equipping participants with a broad spectrum of mathematical tools for addressing both direct and inverse problems across various fields. Through a combination of lectures, problem-solving sessions, and collaborative discussions, the program fostered the ... Leer más

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This volume presents the extended abstracts from the 2024 Summer School organized by the Ghent Analysis and PDE Center. The school focused on equipping participants with a broad spectrum of mathematical tools for addressing both direct and inverse problems across various fields. Through a combination of lectures, problem-solving sessions, and collaborative discussions, the program fostered the
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Analysis

de Ekkehard Kopp ...

Series series Modular Mathematics Series
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. Throughout, the historical context in which the subject was developed is highlighted and particular attention is paid to showing how precision allows ... Leer más

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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. Throughout, the historical context in which the subject was developed is highlighted and particular attention is paid to showing how precision allows
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Quaternionic Hilbert Spaces and Slice Hyperholomorphic Functions

de Daniel Alpay, Fabrizio Colombo, Irene Sabadini ...

Series series Mathematics and Statistics (R0)
The purpose of the present book is to develop the counterparts of Banach and Hilbert spaces in the setting of slice hyperholomorphic functions. Banach and Hilbert spaces of analytic functions, in one or several complex variables, play an important role in analysis and related fields. Besides their intrinsic interest, such spaces have numerous applications.The book is divided into three parts. In ... Leer más

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The purpose of the present book is to develop the counterparts of Banach and Hilbert spaces in the setting of slice hyperholomorphic functions. Banach and Hilbert spaces of analytic functions, in one or several complex variables, play an important role in analysis and related fields. Besides their intrinsic interest, such spaces have numerous applications.The book is divided into three parts. In
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Poisson Point Processes and Their Application to Markov Processes

de Kiyosi Itô ...

Series series SpringerBriefs in Probability and Mathematical Statistics
An extension problem (often called a boundary problem) of Markov processes has been studied, particularly in the case of one-dimensional diffusion processes, by W. Feller, K. Itô, and H. P. McKean, among others. In this book, Itô discussed a case of a general Markov process with state space S and a specified point a ∈ S called a boundary. The problem is to obtain all possible recurrent extensions ... Leer más

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An extension problem (often called a boundary problem) of Markov processes has been studied, particularly in the case of one-dimensional diffusion processes, by W. Feller, K. Itô, and H. P. McKean, among others. In this book, Itô discussed a case of a general Markov process with state space S and a specified point a ∈ S called a boundary. The problem is to obtain all possible recurrent extensions
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Stochastic Control Theory

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de Makiko Nisio ...

Series Libro 72 - Probability Theory and Stochastic Modelling
This book offers a systematic introduction to the optimal stochastic control theory via the dynamic programming principle, which is a powerful tool to analyze control problems.First we consider completely observable control problems with finite horizons. Using a time discretization we construct a nonlinear semigroup related to the dynamic programming principle (DPP), whose generator provides the ... Leer más

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This book offers a systematic introduction to the optimal stochastic control theory via the dynamic programming principle, which is a powerful tool to analyze control problems.First we consider completely observable control problems with finite horizons. Using a time discretization we construct a nonlinear semigroup related to the dynamic programming principle (DPP), whose generator provides the
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Finite Elements III

First-Order and Time-Dependent PDEs

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Series series Mathematics and Statistics (R0)
This book is the third volume of a three-part textbook suitable for graduate coursework, professional engineering and academic research. It is also appropriate for graduate flipped classes. Each volume is divided into short chapters. Each chapter can be covered in one teaching unit and includes exercises as well as solutions available from a dedicated website. The salient ideas can be addressed ... Leer más

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This book is the third volume of a three-part textbook suitable for graduate coursework, professional engineering and academic research. It is also appropriate for graduate flipped classes. Each volume is divided into short chapters. Each chapter can be covered in one teaching unit and includes exercises as well as solutions available from a dedicated website. The salient ideas can be addressed
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Semilinear Evolution Equations and Their Applications

de Toka Diagana ...

This book, which is a continuation of Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces, presents recent trends and developments upon fractional, first, and second order semilinear difference and differential equations, including degenerate ones. Various stability, uniqueness, and existence results are established using various tools from nonlinear functional analysis ... Leer más

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This book, which is a continuation of Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces, presents recent trends and developments upon fractional, first, and second order semilinear difference and differential equations, including degenerate ones. Various stability, uniqueness, and existence results are established using various tools from nonlinear functional analysis
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Series Libro 13 - Series On Multivariate Analysis
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This is a development of the book entitled Multidimensional Second Order Stochastic Processes. It provides a research expository treatment of infinite-dimensional stationary and nonstationary stochastic processes or time series, based on Hilbert and Banach space-valued second order random variables. Stochastic measures and scalar or operator bimeasures are fully discussed to develop integral
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Upper and Lower Bounds for Stochastic Processes

Modern Methods and Classical Problems

de Michel Talagrand ...

Series series Mathematics and Statistics (R0)
The book develops modern methods and in particular the "generic chaining" to bound stochastic processes. This methods allows in particular to get optimal bounds for Gaussian and Bernoulli processes. Applications are given to stable processes, infinitely divisible processes, matching theorems, the convergence of random Fourier series, of orthogonal series, and to functional analysis. The complete ... Leer más

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The book develops modern methods and in particular the "generic chaining" to bound stochastic processes. This methods allows in particular to get optimal bounds for Gaussian and Bernoulli processes. Applications are given to stable processes, infinitely divisible processes, matching theorems, the convergence of random Fourier series, of orthogonal series, and to functional analysis. The complete
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Representations of Solvable Lie Groups

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Series Libro 39 - New Mathematical Monographs
The theory of unitary group representations began with finite groups, and blossomed in the twentieth century both as a natural abstraction of classical harmonic analysis, and as a tool for understanding various physical phenomena. Combining basic theory and new results, this monograph is a fresh and self-contained exposition of group representations and harmonic analysis on solvable Lie groups. ... Leer más

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The theory of unitary group representations began with finite groups, and blossomed in the twentieth century both as a natural abstraction of classical harmonic analysis, and as a tool for understanding various physical phenomena. Combining basic theory and new results, this monograph is a fresh and self-contained exposition of group representations and harmonic analysis on solvable Lie groups.
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100 gelöste Übungen: Multiplikation positiver und negativer Zahlen

100 Gelöste Übungen - Mathematik Übungsreihe, #2

de BELAID OUHARROU ALRAIS ...

Series Libro 2 - 100 Gelöste Übungen - Mathematik Übungsreihe
100 gelöste Übungen: Multiplikation positiver und negativer Zahlen – Einfach üben, ohne Theorie!Hast du Probleme mit dem Multiplizieren von positiven und negativen Zahlen? Kein Stress – du bist nicht allein! Dieses Buch wurde entwickelt, um dir zu helfen, Rechnen mit Vorzeichen durch praktische Übungen zu verstehen – ganz ohne komplizierte Theorie.Mit 100 Aufgaben zum Mitmachen lernst du Schritt ... Leer más

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The book constitutes a basic, concise, yet rigorous first course in complex analysis, for undergraduate students who have studied multivariable calculus and linear algebra. The textbook should be particularly useful for students of joint programmes with mathematics, as well as engineering students seeking rigour. The aim of the book is to cover the bare bones of the subject with minimal ... Leer más

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Modern Mathematical Methods for Scientists and Engineers

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Basic Monotonicity Methods with Some Applications

de Marek Galewski ...

Series series Mathematics and Statistics (R0)
This textbook introduces some basic tools from the theory of monotone operators together with some of their applications. Examples that work for ordinary differential equations are provided. The illustrating material is kept relatively simple, while at the same time offering inspiring applications to the reader.The material will appeal to graduate students in mathematics who want to learn some ... Leer más

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This textbook introduces some basic tools from the theory of monotone operators together with some of their applications. Examples that work for ordinary differential equations are provided. The illustrating material is kept relatively simple, while at the same time offering inspiring applications to the reader.The material will appeal to graduate students in mathematics who want to learn some
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Inverse Problems, Regularization Methods and Related Topics

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Edición de Sergei V. Pereverzyev, R. Radha, S. Sivananthan ...

Series series Mathematics and Statistics (R0)
This book features a thoughtfully curated collection of research contributions spanning regularization theory, integral equations, learning theory, and matrix and operator theory. These contributions were presented in honor of Prof. M. Thamban Nair on his 65th birthday during the International Conference on Analysis, Inverse Problems, and Applications, which took place at the IIT Madras in Chennai ... Leer más

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This book features a thoughtfully curated collection of research contributions spanning regularization theory, integral equations, learning theory, and matrix and operator theory. These contributions were presented in honor of Prof. M. Thamban Nair on his 65th birthday during the International Conference on Analysis, Inverse Problems, and Applications, which took place at the IIT Madras in Chennai
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Entropy Methods for Diffusive Partial Differential Equations

de Ansgar Jüngel ...

Series series Mathematics and Statistics (R0)
This book presents a range of entropy methods for diffusive PDEs devised by many researchers in the course of the past few decades, which allow us to understand the qualitative behavior of solutions to diffusive equations (and Markov diffusion processes). Applications include the large-time asymptotics of solutions, the derivation of convex Sobolev inequalities, the existence and uniqueness of ... Leer más

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This book presents a range of entropy methods for diffusive PDEs devised by many researchers in the course of the past few decades, which allow us to understand the qualitative behavior of solutions to diffusive equations (and Markov diffusion processes). Applications include the large-time asymptotics of solutions, the derivation of convex Sobolev inequalities, the existence and uniqueness of
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Aufgabensammlung Analysis 2, Funktionalanalysis und Differentialgleichungen

mit mehr als 300 gelösten Übungsaufgaben

de Hans-Jürgen Reinhardt ...

Series series Life Science and Basic Disciplines (German Language)
Sie suchen Übungen zur Klausurvorbereitung, Material für Tutorien oder Beispiele für eine Vorlesung zur weiterführenden Analysis?In diesem umfangreichen Buch finden Sie eine Vielzahl verschiedener Aufgaben - von abstrakten Beweisen über theoretische und angewandte Beispiele hin zu konkreten Berechnungen. Zur Überprüfung der eigenen Arbeit gibt es ausführliche Lösungen zu jeder Aufgabe.Somit ist ... Leer más

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Banach Spaces of Analytic Functions

de Kenneth Hoffman ...

A classic of pure mathematics, this advanced graduate-level text explores the intersection of functional analysis and analytic function theory. Close in spirit to abstract harmonic analysis, it is confined to Banach spaces of analytic functions in the unit disc.The author devotes the first four chapters to proofs of classical theorems on boundary values and boundary integral representations of ... Leer más

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A classic of pure mathematics, this advanced graduate-level text explores the intersection of functional analysis and analytic function theory. Close in spirit to abstract harmonic analysis, it is confined to Banach spaces of analytic functions in the unit disc.The author devotes the first four chapters to proofs of classical theorems on boundary values and boundary integral representations of
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L² Approaches in Several Complex Variables

Development of Oka–Cartan Theory by L² Estimates for the d-bar Operator

de Takeo Ohsawa ...

Series series Mathematics and Statistics (R0)
The purpose of this monograph is to present the current status of a rapidly developing part of several complex variables, motivated by the applicability of effective results to algebraic geometry and differential geometry. Highlighted are the new precise results on the L² extension of holomorphic functions.In Chapter 1, the classical questions of several complex variables motivating the ... Leer más

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The purpose of this monograph is to present the current status of a rapidly developing part of several complex variables, motivated by the applicability of effective results to algebraic geometry and differential geometry. Highlighted are the new precise results on the L² extension of holomorphic functions.In Chapter 1, the classical questions of several complex variables motivating the
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Conformal Mapping on Riemann Surfaces

de Harvey Cohn ...

Series series Dover Books on Mathematics
The subject matter loosely called "Riemann surface theory" has been the starting point for the development of topology, functional analysis, modern algebra, and any one of a dozen recent branches of mathematics; it is one of the most valuable bodies of knowledge within mathematics for a student to learn.Professor Cohn's lucid and insightful book presents an ideal coverage of the subject in five ... Leer más

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The subject matter loosely called "Riemann surface theory" has been the starting point for the development of topology, functional analysis, modern algebra, and any one of a dozen recent branches of mathematics; it is one of the most valuable bodies of knowledge within mathematics for a student to learn.Professor Cohn's lucid and insightful book presents an ideal coverage of the subject in five
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Lectures on Functional Analysis and the Lebesgue Integral

de Vilmos Komornik ...

Series series Mathematics and Statistics (R0)
This textbook, based on three series of lectures held by the author at the University of Strasbourg, presents functional analysis in a non-traditional way by generalizing elementary theorems of plane geometry to spaces of arbitrary dimension. This approach leads naturally to the basic notions and theorems. Most results are illustrated by the small ℓp spaces. The Lebesgue integral, meanwhile, is ... Leer más

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This textbook, based on three series of lectures held by the author at the University of Strasbourg, presents functional analysis in a non-traditional way by generalizing elementary theorems of plane geometry to spaces of arbitrary dimension. This approach leads naturally to the basic notions and theorems. Most results are illustrated by the small ℓp spaces. The Lebesgue integral, meanwhile, is
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Principles of Fourier Analysis

de Kenneth B. Howell ...

Series series Textbooks in Mathematics
Fourier analysis is one of the most useful and widely employed sets of tools for the engineer, the scientist, and the applied mathematician. As such, students and practitioners in these disciplines need a practical and mathematically solid introduction to its principles. They need straightforward verifications of its results and formulas, and they need clear indications of the limitations of those ... Leer más

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Fourier analysis is one of the most useful and widely employed sets of tools for the engineer, the scientist, and the applied mathematician. As such, students and practitioners in these disciplines need a practical and mathematically solid introduction to its principles. They need straightforward verifications of its results and formulas, and they need clear indications of the limitations of those
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Spectral Theory for Linear Operators

Demicompactness and Perturbation Theory

de Bilel Krichen ...

Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
This book focuses on spectral theory for linear operators involving bounded or unbounded demicompact linear operators acting on Banach spaces. This class played an important rule in the theory of perturbation. More precisely, it contributed in the construction of several classes of stability of essential spectra for bounded or unbounded linear operators. We should emphasize that this book is the ... Leer más

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This book focuses on spectral theory for linear operators involving bounded or unbounded demicompact linear operators acting on Banach spaces. This class played an important rule in the theory of perturbation. More precisely, it contributed in the construction of several classes of stability of essential spectra for bounded or unbounded linear operators. We should emphasize that this book is the
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Sequential Introduction To Real Analysis, A

de J Martin Speight ...

Series series Essential Textbooks In Mathematics
Real analysis provides the fundamental underpinnings for calculus, arguably the most useful and influential mathematical idea ever invented. It is a core subject in any mathematics degree, and also one which many students find challenging. A Sequential Introduction to Real Analysis gives a fresh take on real analysis by formulating all the underlying concepts in terms of convergence of sequences. ... Leer más

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Real analysis provides the fundamental underpinnings for calculus, arguably the most useful and influential mathematical idea ever invented. It is a core subject in any mathematics degree, and also one which many students find challenging. A Sequential Introduction to Real Analysis gives a fresh take on real analysis by formulating all the underlying concepts in terms of convergence of sequences.
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eBooks de Análisis funcional

Direct and Inverse Problems with Applications

Analysis

Quaternionic Hilbert Spaces and Slice Hyperholomorphic Functions

Poisson Point Processes and Their Application to Markov Processes

Stochastic Control Theory

Finite Elements III

Semilinear Evolution Equations and Their Applications

Hilbert And Banach Space-valued Stochastic Processes

Upper and Lower Bounds for Stochastic Processes

Representations of Solvable Lie Groups

100 gelöste Übungen: Multiplikation positiver und negativer Zahlen

A Friendly Approach to Complex Analysis

Modern Mathematical Methods for Scientists and Engineers

Basic Monotonicity Methods with Some Applications

Inverse Problems, Regularization Methods and Related Topics

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Conformal Mapping on Riemann Surfaces

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Principles of Fourier Analysis

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