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Mathematical Analysis and its Applications

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Edited by P. N. Agrawal, R. N. Mohapatra, Uaday Singh, H. M. Srivastava ...

Series series Springer Nature Proceedings excluding Computer Science
This book discusses recent developments in and the latest research on mathematics, statistics and their applications. All contributing authors are eminent academics, scientists, researchers and scholars in their respective fields, hailing from around the world. The book presents roughly 60 unpublished, high-quality and peer-reviewed research papers that cover a broad range of areas including ... Read more

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This book discusses recent developments in and the latest research on mathematics, statistics and their applications. All contributing authors are eminent academics, scientists, researchers and scholars in their respective fields, hailing from around the world. The book presents roughly 60 unpublished, high-quality and peer-reviewed research papers that cover a broad range of areas including
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This is the first textbook-type presentation of tropical value distribution theory. It provides a detailed introduction of the tropical version of the Nevanlinna theory, describing growth and value distribution analysis of continuous, piecewise linear functions on the real axis. The book also includes applications of this theory to ultra-discrete equations. Three appendices are given to compare ... Read more

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This is the first textbook-type presentation of tropical value distribution theory. It provides a detailed introduction of the tropical version of the Nevanlinna theory, describing growth and value distribution analysis of continuous, piecewise linear functions on the real axis. The book also includes applications of this theory to ultra-discrete equations. Three appendices are given to compare
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The Scottish Book

Mathematics from The Scottish Café, with Selected Problems from The New Scottish Book

Edited by R. Daniel Mauldin ...

Series series Mathematics and Statistics (R0)
The second edition of this book updates and expands upon a historically important collection of mathematical problems first published in the United States by Birkhäuser in 1981. These problems serve as a record of the informal discussions held by a group of mathematicians at the Scottish Café in Lwów, Poland, between the two world wars. Many of them were leaders in the development of such areas as ... Read more

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The second edition of this book updates and expands upon a historically important collection of mathematical problems first published in the United States by Birkhäuser in 1981. These problems serve as a record of the informal discussions held by a group of mathematicians at the Scottish Café in Lwów, Poland, between the two world wars. Many of them were leaders in the development of such areas as
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Geometric Properties for Parabolic and Elliptic PDE's

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Series series Mathematics and Statistics (R0)
The study of qualitative aspects of PDE's has always attracted much attention from the early beginnings. More recently, once basic issues about PDE's, such as existence, uniqueness and stability of solutions, have been understood quite well, research on topological and/or geometric properties of their solutions has become more intense. The study of these issues is attracting the interest of an ... Read more

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Series series Mathematics and its Applications
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Series series Mathematics and Statistics (R0)
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This book presents results about certain summability methods, such as the Abel method, the Norlund method, the Weighted mean method, the Euler method and the Natarajan method, which have not appeared in many standard books. It proves a few results on the Cauchy multiplication of certain summable series and some product theorems. It also proves a number of Steinhaus type theorems. In addition, it
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The Dual of L∞(X,L,λ), Finitely Additive Measures and Weak Convergence

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by John Toland ...

Series series Mathematics and Statistics (R0)
In measure theory, a familiar representation theorem due to F. Riesz identifies the dual space Lp(X,L,λ)* with Lq(X,L,λ), where 1/p+1/q=1, as long as 1 ≤ pL∞(X,L,λ)* cannot be similarly described, and is instead represented as a class of finitely additive measures.This book provides a reasonably elementary account of the representation theory of L∞(X,L,λ)*, examining pathologies and paradoxes, and ... Read more

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In measure theory, a familiar representation theorem due to F. Riesz identifies the dual space Lp(X,L,λ)* with Lq(X,L,λ), where 1/p+1/q=1, as long as 1 ≤ pL∞(X,L,λ)* cannot be similarly described, and is instead represented as a class of finitely additive measures.This book provides a reasonably elementary account of the representation theory of L∞(X,L,λ)*, examining pathologies and paradoxes, and
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Fractional Laplacian, The

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This is a unique book that provides a comprehensive understanding of nonlinear equations involving the fractional Laplacian as well as other nonlocal operators. Beginning from the definition of fractional Laplacian, it gradually leads the readers to the frontier of current research in this area. The explanations and illustrations are elementary enough so that first year graduate students can ... Read more

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This is a unique book that provides a comprehensive understanding of nonlinear equations involving the fractional Laplacian as well as other nonlocal operators. Beginning from the definition of fractional Laplacian, it gradually leads the readers to the frontier of current research in this area. The explanations and illustrations are elementary enough so that first year graduate students can
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Finite or Infinite Dimensional Complex Analysis

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Series series Lecture Notes in Pure and Applied Mathematics
This volume presents the proceedings of the Seventh International Colloquium on Finite or Infinite Dimensional Complex Analysis held in Fukuoka, Japan. The contributions offer multiple perspectives and numerous research examples on complex variables, Clifford algebra variables, hyperfunctions and numerical analysis. ... Read more

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Series series Mathematics and Statistics (R0)
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Spectral Functions in Mathematics and Physics

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The literature on the spectral analysis of second order elliptic differential operators contains a great deal of information on the spectral functions for explicitly known spectra. The same is not true, however, for situations where the spectra are not explicitly known. Over the last several years, the author and his colleagues have developed new, ... Read more

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The literature on the spectral analysis of second order elliptic differential operators contains a great deal of information on the spectral functions for explicitly known spectra. The same is not true, however, for situations where the spectra are not explicitly known. Over the last several years, the author and his colleagues have developed new,
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Series series Mathematics and Statistics (R0)
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This textbook presents the essential parts of the modern theory of nonlinear partial differential equations, including the calculus of variations.After a short review of results in real and functional analysis, the author introduces the main mathematical techniques for solving both semilinear and quasilinear elliptic PDEs, and the associated boundary value problems. Key topics include infinite
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Scattering Theory for Transport Phenomena

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Folgende Themen werden in diesem Buch behandelt:Grundkonzepte der OperatorfunktionsanalyseSpektraltheorem und SpektralmessungenTheorem von Stone und physikalische Anwendungen
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Advances in the Control of Markov Jump Linear Systems with No Mode Observation

by Alessandro N. Vargas, Eduardo F. Costa, João B. R. do Val ...

Series series Engineering (R0)
This brief broadens readers’ understanding of stochastic control by highlighting recent advances in the design of optimal control for Markov jump linear systems (MJLS). It also presents an algorithm that attempts to solve this open stochastic control problem, and provides a real-time application for controlling the speed of direct current motors, illustrating the practical usefulness of MJLS. ... Read more

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This brief broadens readers’ understanding of stochastic control by highlighting recent advances in the design of optimal control for Markov jump linear systems (MJLS). It also presents an algorithm that attempts to solve this open stochastic control problem, and provides a real-time application for controlling the speed of direct current motors, illustrating the practical usefulness of MJLS.
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Fractional Stochastic Differential Equations

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This book provides a thorough conversation on the underpinnings of Covid-19 spread modelling by using stochastics nonlocal differential and integral operators with singular and non-singular kernels. The book presents the dynamic of Covid-19 spread behaviour worldwide. It is noticed that the spread dynamic followed process with nonlocal behaviours which resemble power law, fading memory, crossover ... Read more

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This book provides a thorough conversation on the underpinnings of Covid-19 spread modelling by using stochastics nonlocal differential and integral operators with singular and non-singular kernels. The book presents the dynamic of Covid-19 spread behaviour worldwide. It is noticed that the spread dynamic followed process with nonlocal behaviours which resemble power law, fading memory, crossover
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Operator Theory and Differential Equations

Edited by Anatoly G. Kusraev, Zhanna D. Totieva ...

Series series Springer Nature Proceedings excluding Computer Science
This volume features selected papers from The Fifteenth International Conference on Order Analysis and Related Problems of Mathematical Modeling, which was held in Vladikavkaz, Russia, on 15 - 20th July2019. Intended for mathematicians specializing in operator theory, functional spaces, differential equations or mathematical modeling, the book provides a state-of-the-art account of various ... Read more

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This volume features selected papers from The Fifteenth International Conference on Order Analysis and Related Problems of Mathematical Modeling, which was held in Vladikavkaz, Russia, on 15 - 20th July2019. Intended for mathematicians specializing in operator theory, functional spaces, differential equations or mathematical modeling, the book provides a state-of-the-art account of various
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Differential Geometry and Riemannian Manifolds

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This textbook focuses on the study of curves and surfaces, applying modern differential equation theory to geometric problems. By introducing isothermal parameters, it simplifies the fundamental equations of surface theory, leading to clear derivations of results like those of H Hopf and S Bernstein for surfaces of constant and vanishing mean curvature.Deviating from traditional approaches, the ... Read more

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This textbook focuses on the study of curves and surfaces, applying modern differential equation theory to geometric problems. By introducing isothermal parameters, it simplifies the fundamental equations of surface theory, leading to clear derivations of results like those of H Hopf and S Bernstein for surfaces of constant and vanishing mean curvature.Deviating from traditional approaches, the
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The Wonders of the Cesàro Operator

by Javad Mashreghi, William T. Ross ...

Series series Mathematics and Statistics (R0)
This is a survey of the classical Cesàro operator aimed at graduate students as well as more experienced researchers. The eleven chapters of the book cover topics from Cesàro's early work on summability of series and continues with the seminal paper of Brown, Halmos, and Shields on the Cesàro operator.Along the way, various normality classes of the Cesàro operator are covered, as well as invariant ... Read more

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This is a survey of the classical Cesàro operator aimed at graduate students as well as more experienced researchers. The eleven chapters of the book cover topics from Cesàro's early work on summability of series and continues with the seminal paper of Brown, Halmos, and Shields on the Cesàro operator.Along the way, various normality classes of the Cesàro operator are covered, as well as invariant
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Morrey Spaces

Introduction and Applications to Integral Operators and PDE’s, Volume II

by Yoshihiro Sawano, Giuseppe Di Fazio, Denny Ivanal Hakim ...

Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Morrey spaces were introduced by Charles Morrey to investigate the local behaviour of solutions to second order elliptic partial diﬀerential equations. The technique is very useful in many areas in mathematics, in particular in harmonic analysis, potential theory, partial diﬀerential equations and mathematical physics.Across two volumes, the authors of Morrey Spaces: Introduction and Applications ... Read more

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Morrey spaces were introduced by Charles Morrey to investigate the local behaviour of solutions to second order elliptic partial diﬀerential equations. The technique is very useful in many areas in mathematics, in particular in harmonic analysis, potential theory, partial diﬀerential equations and mathematical physics.Across two volumes, the authors of Morrey Spaces: Introduction and Applications
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Locally Convex Spaces

by M. Scott Osborne ...

Series series Mathematics and Statistics (R0)
For most practicing analysts who use functional analysis, the restriction to Banach spaces seen in most real analysis graduate texts is not enough for their research. This graduate text, while focusing on locally convex topological vector spaces, is intended to cover most of the general theory needed for application to other areas of analysis. Normed vector spaces, Banach spaces, and Hilbert ... Read more

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For most practicing analysts who use functional analysis, the restriction to Banach spaces seen in most real analysis graduate texts is not enough for their research. This graduate text, while focusing on locally convex topological vector spaces, is intended to cover most of the general theory needed for application to other areas of analysis. Normed vector spaces, Banach spaces, and Hilbert
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A First Course in Ergodic Theory

by Karma Dajani, Charlene Kalle ...

A First Course in Ergodic Theory provides readers with an introductory course in Ergodic Theory. This textbook has been developed from the authors’ own notes on the subject, which they have been teaching since the 1990s. Over the years they have added topics, theorems, examples and explanations from various sources. The result is a book that is easy to teach from and easy to learn from — designed ... Read more

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A First Course in Ergodic Theory provides readers with an introductory course in Ergodic Theory. This textbook has been developed from the authors’ own notes on the subject, which they have been teaching since the 1990s. Over the years they have added topics, theorems, examples and explanations from various sources. The result is a book that is easy to teach from and easy to learn from — designed
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Pseudo-Differential Operators and Related Topics

Extended Abstracts PSORT 2024

Edited by Vishvesh Kumar, David Rottensteiner, Michael Ruzhansky ...

Series series Springer Nature Proceedings excluding Computer Science
The current volume gives an update on recent developments in the theory of pseudo-differential operators and related topics. The results collected here were presented at the Pseudo-Differential Operators and Related Topics (PSORT) 2024 Conference at Ghent University, Belgium, and cover a wide range of topics in pseudo-differential operators, microlocal analysis, time-frequency analysis, and ... Read more

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The current volume gives an update on recent developments in the theory of pseudo-differential operators and related topics. The results collected here were presented at the Pseudo-Differential Operators and Related Topics (PSORT) 2024 Conference at Ghent University, Belgium, and cover a wide range of topics in pseudo-differential operators, microlocal analysis, time-frequency analysis, and
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