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Derivatives of Inner Functions

de Javad Mashreghi ...

Series series Mathematics and Statistics (R0)
Inner functions form an important subclass of bounded analytic functions. Since they have unimodular boundary values, they appear in many extremal problems of complex analysis. They have been extensively studied since early last century, and the literature on this topic is vast. Therefore, this book is devoted to a concise study of derivatives of these objects, and confined to treating the ... Leer más

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Inner functions form an important subclass of bounded analytic functions. Since they have unimodular boundary values, they appear in many extremal problems of complex analysis. They have been extensively studied since early last century, and the literature on this topic is vast. Therefore, this book is devoted to a concise study of derivatives of these objects, and confined to treating the
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Functional Calculi

de Carlos Bosch, Charles W Swartz ...

A functional calculus is a construction which associates with an operator or a family of operators a homomorphism from a function space into a subspace of continuous linear operators, i.e. a method for defining “functions of an operator”. Perhaps the most familiar example is based on the spectral theorem for bounded self-adjoint operators on a complex Hilbert space.This book contains an exposition ... Leer más

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A functional calculus is a construction which associates with an operator or a family of operators a homomorphism from a function space into a subspace of continuous linear operators, i.e. a method for defining “functions of an operator”. Perhaps the most familiar example is based on the spectral theorem for bounded self-adjoint operators on a complex Hilbert space.This book contains an exposition
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Self-adjoint Extensions in Quantum Mechanics

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de D.M. Gitman, I.V. Tyutin, B.L. Voronov ...

Series series Mathematics and Statistics (R0)
Quantization of physical systems requires a correct definition of quantum-mechanical observables, such as the Hamiltonian, momentum, etc., as self-adjoint operators in appropriate Hilbert spaces and their spectral analysis. Though a “naïve” treatment exists for dealing with such problems, it is based on finite-dimensional algebra or even infinite-dimensional algebra with bounded operators, ... Leer más

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Quantization of physical systems requires a correct definition of quantum-mechanical observables, such as the Hamiltonian, momentum, etc., as self-adjoint operators in appropriate Hilbert spaces and their spectral analysis. Though a “naïve” treatment exists for dealing with such problems, it is based on finite-dimensional algebra or even infinite-dimensional algebra with bounded operators,
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Geometric Analysis of the Bergman Kernel and Metric

de Steven G. Krantz ...

Series series Mathematics and Statistics (R0)
This text provides a masterful and systematic treatment of all the basic analytic and geometric aspects of Bergman's classic theory of the kernel and its invariance properties. These include calculation, invariance properties, boundary asymptotics, and asymptotic expansion of the Bergman kernel and metric. Moreover, it presents a unique compendium of results with applications to function theory, ... Leer más

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This text provides a masterful and systematic treatment of all the basic analytic and geometric aspects of Bergman's classic theory of the kernel and its invariance properties. These include calculation, invariance properties, boundary asymptotics, and asymptotic expansion of the Bergman kernel and metric. Moreover, it presents a unique compendium of results with applications to function theory,
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Schur Analysis and Applications to Hypercomplex Analysis, Neural Networks, and Linear Systems

Chapman University, January 2024

Edición de Daniel Alpay, Izchak Lewkowicz, Adrian Vajiac, Mihaela Vajiac ...

Series series Springer Nature Proceedings excluding Computer Science
This volume presents selected contributions from a conference held at Chapman University in January 2024 on Schur analysis and its applications. The papers, written by leading researchers in the field, are divided into four sections: function theory, harmonic analysis, and operator theory; Schur analysis and signal processing; hypercomplex analysis; and infinite dimensional analysis, probabilities ... Leer más

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This volume presents selected contributions from a conference held at Chapman University in January 2024 on Schur analysis and its applications. The papers, written by leading researchers in the field, are divided into four sections: function theory, harmonic analysis, and operator theory; Schur analysis and signal processing; hypercomplex analysis; and infinite dimensional analysis, probabilities
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Jacobi Matrices and the Moment Problem

de Yurij M. Berezansky, Mykola E. Dudkin ...

Traducido por Mykola E. Dudkin ...

Series series Mathematics and Statistics (R0)
This monograph presents the solution of the classical moment problem, the construction of Jacobi matrices and corresponding polynomials. The cases of strongly,trigonometric, complex and real two-dimensional moment problems are discussed, and the Jacobi-type matrices corresponding to the trigonometric moment problem are shown. The Berezansky theory of the expansion in generalized eigenvectors for ... Leer más

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This monograph presents the solution of the classical moment problem, the construction of Jacobi matrices and corresponding polynomials. The cases of strongly,trigonometric, complex and real two-dimensional moment problems are discussed, and the Jacobi-type matrices corresponding to the trigonometric moment problem are shown. The Berezansky theory of the expansion in generalized eigenvectors for
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Elliptic Differential Operators and Spectral Analysis

de D. E. Edmunds, W.D. Evans ...

Series series Mathematics and Statistics (R0)
This book deals with elliptic differential equations, providing the analytic background necessary for the treatment of associated spectral questions, and covering important topics previously scattered throughout the literature.Starting with the basics of elliptic operators and their naturally associated function spaces, the authors then proceed to cover various related topics of current and ... Leer más

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Series series Mathematics and Statistics (R0)
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The goal of this monograph is to develop a mathematical theory of open fluid systems in the framework of continuum thermodynamics. Part I discusses the difference between open and closed fluid systems and introduces the Navier-Stokes-Fourier system as the mathematical model of a fluid in motion that will be used throughout the text. A class of generalized solutions to the Navier-Stokes-Fourier
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Equations of Mathematical Physics

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de A. S. Demidov ...

Series series Mathematics and Statistics (R0)
This concise volume presents an overview of equations of mathematical physics and generalized functions. While intended for advanced readers, the accessible introduction and text structure allows beginners to study at their own pace as the material gradually increases in difficulty. The text introduces the concept of generalized Sobolev functions and L. Schwartz distributions briefly in the ... Leer más

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This concise volume presents an overview of equations of mathematical physics and generalized functions. While intended for advanced readers, the accessible introduction and text structure allows beginners to study at their own pace as the material gradually increases in difficulty. The text introduces the concept of generalized Sobolev functions and L. Schwartz distributions briefly in the
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Data Science with Semantic Technologies

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Esercizi di matematica: vettori e spazi vettoriali

de Simone Malacrida ...

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Functional Equations in Applied Sciences

de Enrique Castillo, Andres Iglesias, Reyes Ruiz-Cobo ...

Series Libro 199 - Mathematics in Science and Engineering
The book provides the reader with the different types of functional equations that s/he can find in practice, showing, step by step, how they can be solved.A general methodology for solving functional equations is provided in Chapter 2. The different types of functional equations are described and solved in Chapters 3 to 8. Many examples, coming from different fields, as geometry, science, ... Leer más

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Classical Theory of Arithmetic Functions

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Series series Chapman & Hall/CRC Pure and Applied Mathematics
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A Spectral Theory for Simply Periodic Solutions of the Sinh-Gordon Equation

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Series series Mathematics and Statistics (R0)
This book develops a spectral theory for the integrable system of 2-dimensional, simply periodic, complex-valued solutions u of the sinh-Gordon equation. Such solutions (if real-valued) correspond to certain constant mean curvature surfaces in Euclidean 3-space. Spectral data for such solutions are defined (following ideas of Hitchin and Bobenko) and the space of spectral data is described by an ... Leer más

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This book develops a spectral theory for the integrable system of 2-dimensional, simply periodic, complex-valued solutions u of the sinh-Gordon equation. Such solutions (if real-valued) correspond to certain constant mean curvature surfaces in Euclidean 3-space. Spectral data for such solutions are defined (following ideas of Hitchin and Bobenko) and the space of spectral data is described by an
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Operator Theory, Operator Algebras and Their Interactions with Geometry and Topology

Ronald G. Douglas Memorial Volume

Edición de Raul E Curto, William Helton, Huaxin Lin, Xiang Tang, Rongwei Yang, Guoliang Yu ...

Series series Springer Nature Proceedings excluding Computer Science
This book is the proceeding of the International Workshop on Operator Theory and Applications (IWOTA) held in July 2018 in Shanghai, China. It consists of original papers, surveys and expository articles in the broad areas of operator theory, operator algebras and noncommutative topology. Its goal is to give graduate students and researchers a relatively comprehensive overview of the current ... Leer más

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This book is the proceeding of the International Workshop on Operator Theory and Applications (IWOTA) held in July 2018 in Shanghai, China. It consists of original papers, surveys and expository articles in the broad areas of operator theory, operator algebras and noncommutative topology. Its goal is to give graduate students and researchers a relatively comprehensive overview of the current
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de Michel Talagrand ...

Series series Mathematics and Statistics (R0)
This book provides an in-depth account of modern methods used to bound the supremum of stochastic processes. Starting from first principles, it takes the reader to the frontier of current research. This second edition has been completely rewritten, offering substantial improvements to the exposition and simplified proofs, as well as new results.The book starts with a thorough account of the ... Leer más

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This book provides an in-depth account of modern methods used to bound the supremum of stochastic processes. Starting from first principles, it takes the reader to the frontier of current research. This second edition has been completely rewritten, offering substantial improvements to the exposition and simplified proofs, as well as new results.The book starts with a thorough account of the
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de Mathieu Lewin ...

Series series Mathematics and Statistics (R0)
Ce livre présente la théorie spectrale des opérateurs auto-adjoints en dimension infinie ainsi que son application à la mécanique quantique. Le concept d'auto-adjonction, découvert par John von Neumann dans les années 1930, est bien plus subtil dans ce cadre que pour les matrices hermitiennes en dimension finie.Cet ouvrage peut aussi servir d’introduction mathématique à la mécanique quantique. De ... Leer más

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Ce livre présente la théorie spectrale des opérateurs auto-adjoints en dimension infinie ainsi que son application à la mécanique quantique. Le concept d'auto-adjonction, découvert par John von Neumann dans les années 1930, est bien plus subtil dans ce cadre que pour les matrices hermitiennes en dimension finie.Cet ouvrage peut aussi servir d’introduction mathématique à la mécanique quantique. De
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Analysis on Manifolds with Singularities

de Der-Chen Chang, Bert-Wolfgang Schulze ...

Series series Mathematics and Statistics (R0)
This exposition introduces new developments of pseudo‐differential operators on manifolds with singularities such as conical points, edges, or higher corners, and recent results in these fields. It presents some crucial parts of recent inventions in singular analysis which contribute to pseudo-differential structures and establishes new insight to building up singular operators in corresponding ... Leer más

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This exposition introduces new developments of pseudo‐differential operators on manifolds with singularities such as conical points, edges, or higher corners, and recent results in these fields. It presents some crucial parts of recent inventions in singular analysis which contribute to pseudo-differential structures and establishes new insight to building up singular operators in corresponding
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Banach Space Aspects of Frame Theory with Applications

de Deguang Han, Qianfeng Hu, Bei Liu, Rui Liu ...

Series series Mathematics and Statistics (R0)
This book provides an introduction to frame theory in Banach and Hilbert spaces, with a particular focus on the Banach space aspects of the frame theory and its applications. The authors present main developments from recent decades in the theory of frames, dilations, operator-valued measures, sampling, and related applications. By bridging topics from Banach space geometry, applied harmonic ... Leer más

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This book provides an introduction to frame theory in Banach and Hilbert spaces, with a particular focus on the Banach space aspects of the frame theory and its applications. The authors present main developments from recent decades in the theory of frames, dilations, operator-valued measures, sampling, and related applications. By bridging topics from Banach space geometry, applied harmonic
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Probability Theory

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de Achim Klenke ...

Series series Mathematics and Statistics (R0)
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This second edition of the popular textbook contains a comprehensive course in modern probability theory, covering a wide variety of topics which are not usually found in introductory textbooks, including:• limit theorems for sums of random variables• martingales• percolation• Markov chains and electrical networks• construction of stochastic processes• Poisson point process and infinite
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Gaussian Integrals and their Applications

de Oscar A. Nieves ...

Gaussian Integrals form an integral part of many subfields of applied mathematics and physics, especially in topics such as probability theory, statistics, statistical mechanics, quantum mechanics and so on. They are essential in computing quantities such as the statistical properties of normal random variables, solving partial differential equations involving diffusion processes, and gaining ... Leer más

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Gaussian Integrals form an integral part of many subfields of applied mathematics and physics, especially in topics such as probability theory, statistics, statistical mechanics, quantum mechanics and so on. They are essential in computing quantities such as the statistical properties of normal random variables, solving partial differential equations involving diffusion processes, and gaining
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Fractional Integrals, Potentials, and Radon Transforms

de Boris Rubin ...

Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Fractional Integrals, Potentials, and Radon Transforms, Second Edition presents recent developments in the fractional calculus of functions of one and several real variables, and shows the relation of this field to a variety of areas in pure and applied mathematics. In this thoroughly revised new edition, the book aims to explore how fractional integrals occur in the study of diverse Radon type ... Leer más

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Fractional Integrals, Potentials, and Radon Transforms, Second Edition presents recent developments in the fractional calculus of functions of one and several real variables, and shows the relation of this field to a variety of areas in pure and applied mathematics. In this thoroughly revised new edition, the book aims to explore how fractional integrals occur in the study of diverse Radon type
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Regular Functions of a Quaternionic Variable

de Graziano Gentili, Caterina Stoppato, Daniele C. Struppa ...

Series series Mathematics and Statistics (R0)
This book surveys the foundations of the theory of slice regular functions over the quaternions, introduced in 2006, and gives an overview of its generalizations and applications.As in the case of other interesting quaternionic function theories, the original motivations were the richness of the theory of holomorphic functions of one complex variable and the fact that quaternions form the only ... Leer más

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This book surveys the foundations of the theory of slice regular functions over the quaternions, introduced in 2006, and gives an overview of its generalizations and applications.As in the case of other interesting quaternionic function theories, the original motivations were the richness of the theory of holomorphic functions of one complex variable and the fact that quaternions form the only
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Lectures In Nonlinear Functional Analysis: Synopsis Of Lectures Given At The Faculty Of Physics Of Lomonosov Moscow State University

de Maxim Olegovich Korpusov, Alexey Vitalyevich Ovchinnikov, Alexander Anatolyevich Panin ...

This book is a systematic presentation of basic notions, facts, and ideas of nonlinear functional analysis and their applications to nonlinear partial differential equations. It begins from a brief introduction to linear functional analysis, including various types of convergence and functional spaces. The main part of the book is devoted to the theory of nonlinear operators. Various methods of ... Leer más

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This book is a systematic presentation of basic notions, facts, and ideas of nonlinear functional analysis and their applications to nonlinear partial differential equations. It begins from a brief introduction to linear functional analysis, including various types of convergence and functional spaces. The main part of the book is devoted to the theory of nonlinear operators. Various methods of
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Derivatives of Inner Functions

Functional Calculi

Self-adjoint Extensions in Quantum Mechanics

Geometric Analysis of the Bergman Kernel and Metric

Schur Analysis and Applications to Hypercomplex Analysis, Neural Networks, and Linear Systems

Jacobi Matrices and the Moment Problem

Elliptic Differential Operators and Spectral Analysis

Mathematics of Open Fluid Systems

Equations of Mathematical Physics

Data Science with Semantic Technologies

Esercizi di matematica: vettori e spazi vettoriali

Functional Equations in Applied Sciences

Classical Theory of Arithmetic Functions

A Spectral Theory for Simply Periodic Solutions of the Sinh-Gordon Equation

Operator Theory, Operator Algebras and Their Interactions with Geometry and Topology

Upper and Lower Bounds for Stochastic Processes

Théorie spectrale et mécanique quantique

Analysis on Manifolds with Singularities

Banach Space Aspects of Frame Theory with Applications

Probability Theory

Gaussian Integrals and their Applications

Fractional Integrals, Potentials, and Radon Transforms

Regular Functions of a Quaternionic Variable

Lectures In Nonlinear Functional Analysis: Synopsis Of Lectures Given At The Faculty Of Physics Of Lomonosov Moscow State University