Mathematical Analysis

The dream of mathematical modeling is of systems evolving in a continuous, deterministic, predictable way. Unfortunately continuity is lost whenever the `rules of the game' change, whether a change of behavioural regime, or a change of physical...

This book provides an overview of recent advances in the theory of dynamical systems, with a particular emphasis on their connections to other areas of mathematical research, including number theory, geometry, mathematical physics, complex analysis, and...

The dual space of a locally compact group G consists of the equivalence classes of irreducible unitary representations of G. This book provides a comprehensive guide to the theory of induced representations and explains its use in describing the dual...

This book offers a gentle introduction to the geometry of numbers from a modern Fourier-analytic point of view. One of the main themes is the transfer of geometric knowledge of a polytope to analytic knowledge of its Fourier transform. The Fourier...

View the abstract.About the AuthorPhilipp Grohs, University of Vienna, Austria, and Austrian Academy of Sciences, Linz, Austria.Fabian Hornung, Karlsruhe Institute of Technology, Germany, and ETH Zurich, Switzerland.Arnulf Jentzen, The Chinese University...

An operator $C$ on a Hilbert space $/mathcal H$ dilates to an operator $T$ on a Hilbert space $/mathcal K$ if there is an isometry $V:/mathcal H/to /mathcal K$ such that $C= V^* TV$. A main result of this paper is, for a positive integer $d$, the...

Apologies but we at Booksplease don't have a full description for this book.Book InformationISBN 9798888360484Author Matt FerrierFormat HardbackPage Count 240Imprint Larsen and Keller EducationPublisher Larsen and Keller EducationWeight(grams)...

This textbook offers an accessible introduction to translation surfaces. Building on modest prerequisites, the authors focus on the fundamentals behind big ideas in the field: ergodic properties of translation flows, counting problems for saddle...

Apologies but we at Booksplease don't have a full description for this book.Book InformationISBN 9781647254421Author Matt FerrierFormat HardbackPage Count 242Imprint NY Research PressPublisher NY Research PressWeight(grams) 853gDimensions(mm) 279mm *...

Apologies but we at Booksplease don't have a full description for this book.Book InformationISBN 9781632406545Author Andrew CleggFormat HardbackPage Count 213Imprint Clanrye InternationalPublisher Clanrye InternationalWeight(grams) 590gDimensions(mm)...

A fundamental question in the theory of discrete and continuous-time population models concerns the conditions for the extinction or persistence of populations - a question that is addressed mathematically by persistence theory. For some time, it has...

This comprehensive introduction to global spectral methods for fractional differential equations from leaders of this emerging field is designed to be accessible to graduate students and researchers across math, science, and engineering. The book begins...

This textbook presents a direct path from real analysis of one variable to function theory. Classical topics of one-dimensional real analysis, such as differential and integral calculus, are largely presented from a complex perspective. The goal is a...

An Introduction to Real Analysis gives students of mathematics and related sciences an introduction to the foundations of calculus, and more generally, to the analytic way of thinking. The authors' style is a mix of formal and informal, with the intent...

This book presents a wide-ranging approach to operator-valued measures and integrals of both vector-valued and set-valued functions. It covers convergence theorems and an integral representation for linear operators on spaces of continuous vector-valued...

This is a widely accessible introductory treatment of infinite series of real numbers, bringing the reader from basic definitions and tests to advanced results. An up-to-date presentation is given, making infinite series accessible, interesting, and...

H. A. Schwarz showed us how to extend the notion of reflection in straight lines and circles to reflection in an arbitrary analytic arc. Notable applications were made to the symmetry principle and to problems of analytic continuation. Reflection, in the...

The Ricci flow uses methods from analysis to study the geometry and topology of manifolds. With the third part of their volume on techniques and applications of the theory, the authors give a presentation of Hamilton's Ricci flow for graduate students...

Inequalities from Complex Analysis is a careful, friendly exposition of some rather interesting mathematics. The author begins by defining the complex number field; he gives a novel presentation of some standard mathematical analysis in the early...

Apologies but we at Booksplease don't have a full description for this book.Book InformationISBN 9781682854167Author Andrew CleggFormat HardbackPage Count 213Imprint Willford PressPublisher Willford PressWeight(grams) 590gDimensions(mm) 254mm * 178mm *...

Apologies but we at Booksplease don't have a full description for this book.Book InformationISBN 9781639872398Author May HooperFormat HardbackPage Count 245Imprint Murphy & Moore PublishingPublisher Murphy & Moore PublishingWeight(grams)...

This volume contains the proceedings of the virtual AMS Special Session on Fractal Geometry and Dynamical Systems, held from May 14-15, 2022. The content covers a wide range of topics. It includes nonautonomous dynamics of complex polynomials, theory and...

The so-called ""pinched disk'' model of the Mandelbrot set is due to A. Douady, J. H. Hubbard and W. P. Thurston. It can be described in the language of geodesic laminations. The combinatorial model is the quotient space of the unit disk under an...

In this article, the author studies fundamental Bessel functions for $/mathrm{GL}_n(/mathbb F)$ arising from the Voronoi summation formula for any rank $n$ and field $/mathbb F = /mathbb R$ or $/mathbb C$, with focus on developing their analytic and...

Two major themes drive this article: identifying the minimal structure necessary to formulate quaternionic operator theory and revealing a deep relation between complex and quaternionic operator theory.The theory for quaternionic right linear operators...

The Radon transform, which represents the scattering data arising from a tomographic scan, underpins the mathematical foundations of medical imaging. This book surveys the mathematics behind some well-established imaging modalities such as X-ray CT and...

In this paper, we study the dynamics of fluids in porous media governed by Darcy's law: the Muskat problem. We consider the setting of two immiscible fluids of different densities and viscosities under the influence of gravity in which one fluid is...

Apologies but we at Booksplease don't have a full description for this book.About the AuthorNigel J. Kalton, University of Missouri, Colombia, Missouri.Emiel Lorist, Delft University of Technology, The Netherlands.Lutz Weis, Karlsruhe Institute for...

Equipped with the L2,q-distortion distance 𝚫2,q, the space 𝕏2,q of all metric measure spaces (X, d, 𝔪) is proven to have nonnegative curvature in the sense of Alexandrov. Geodesics and tangent spaces are characterized in detail...

The aim of this monograph is to study the global existence of solutions to a coupled wave-Klein-Gordon system in space dimension two when initial data are small smooth and mildly decaying at infinity. Some physical models strictly related to general...

Many smoothness spaces in harmonic analysis are decomposition spaces. In this paper we ask: Given two such spaces, is there an embedding between the two?A decomposition space D(Q, Lp, Y ) is determined by a covering Q = (Qi)i?I of the frequency domain,...

View the abstract.About the AuthorTomasz Downarowicz, Wroclaw University of Science and Technology, Poland.Guohua Zhang, Fudan Unversity, Shanghai, China.Book InformationISBN 9781470455873Author Tomasz DownarowiczFormat PaperbackPage Count 95Imprint...

View the abstract.About the AuthorOscar Dominguez, Universidad Complutense de Madrid, Spain.Sergei Tikhonov, Centre de Recerca Matematica, Barcelona, Spain, and Universitat Autonoma de Barcelona, Spain.Book InformationISBN 9781470455385Author Oscar...

In this paper, we develop via real variable methods various characterisations of the Hardy spaces in the multi-parameter flag setting. These characterisations include those via, the non-tangential and radial maximal function, the Littlewood-Paley square...

This book gives a self-contained introduction to the modern ideas and problems of harmonic analysis. Intended for third- and fourth-year undergraduates, the book only requires basic knowledge of real analysis, and covers necessary background in measure...

This volume contains the proceedings of the virtual AMS Special Session on Harmonic Analysis, held from March 26-27, 2022. Harmonic analysis has gone through rapid developments in the past decade. New tools, including multilinear Kakeya inequalities,...

This book provides a comprehensive study of how attractors behave under perturbations for both autonomous and non-autonomous problems. Furthermore, the forward asymptotics of non-autonomous dynamical systems is presented here for the first time in a...

This companion piece to the author's 2018 book, A Software Repository for Orthogonal Polynomials, focuses on Gaussian quadrature and the related Christoffel function. The book makes Gauss quadrature rules of any order easily accessible for a large...

Measure theory and measure-theoretic probability are fascinating subjects. Proofs describing profound ways to reason lead to results that are frequently startling, beautiful, and useful. Measure theory and probability also play roles in the development...

It is well known that if two independent identically distributed random variables are Gaussian, then their sum and difference are also independent. It turns out that only Gaussian random variables have such property. This statement, known as the famous...