Frontiers in Mathematics – serie
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84 produkter
Bicomplex Holomorphic Functions
The Algebra, Geometry and Analysis of Bicomplex Numbers
Av M. Elena Luna-Elizarrarás, Michael Shapiro m. fl.
Häftad, 2015
606 kr
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The purpose of this book is to develop the foundations of the theory of holomorphicity on the ring of bicomplex numbers. Accordingly, the main focus is on expressing the similarities with, and differences from, the classical theory of one complex variable. The result is an elementary yet …
Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets
Av José M. Mazón, Julio Daniel Rossi m. fl.
Häftad, 2019
606 kr
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This book highlights the latest developments in the geometry of measurable sets, presenting them in simple, straightforward terms. It addresses nonlocal notions of perimeter and curvature and studies in detail the minimal surfaces associated with them. These notions of nonlocal perimeter and …
Quaternionic Approximation
With Application to Slice Regular Functions
Av Sorin G. Gal, Irene Sabadini
Häftad, 2019
605 kr
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This book presents the extensions to the quaternionic setting of some of the main approximation results in complex analysis. It also includes the main inequalities regarding the behavior of the derivatives of polynomials with quaternionic cofficients. With some few exceptions, all the material in …
Special Functions and Generalized Sturm-Liouville Problems
Häftad, 2020
422 kr
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This book discusses theoretical and applied aspects of Sturm-Liouville theory and its generalization. It introduces and classifies generalized Sturm-Liouville problems in three different spaces: continuous, discrete, and q-discrete spaces, focusing on special functions that are solutions of a …
Primer for a Secret Shortcut to PDEs of Mathematical Physics
Av Des McGhee, Rainer Picard m. fl.
Häftad, 2020
606 kr
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This book presents a concise introduction to a unified Hilbert space approach to the mathematical modelling of physical phenomena which has been developed over recent years by Picard and his co-workers. The main focus is on time-dependent partial differential equations with a particular structure …
Direct and Inverse Sturm-Liouville Problems
A Method of Solution
Häftad, 2020
606 kr
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This book provides an introduction to the most recent developments in the theory and practice of direct and inverse Sturm-Liouville problems on finite and infinite intervals. A universal approach for practical solving of direct and inverse spectral and scattering problems is presented, based on the …
Topics in Uniform Approximation of Continuous Functions
Av Ileana Bucur, Gavriil Paltineanu
Häftad, 2020
606 kr
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This book presents the evolution of uniform approximations of continuous functions. Starting from the simple case of a real continuous function defined on a closed real interval, i.e., the Weierstrass approximation theorems, it proceeds up to the abstract case of approximation theorems in a locally …
Mild Differentiability Conditions for Newton's Method in Banach Spaces
Av José Antonio Ezquerro Fernandez, Miguel Ángel Hernández Verón
Häftad, 2020
606 kr
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In this book the authors use a technique based on recurrence relations to study the convergence of the Newton method under mild differentiability conditions on the first derivative of the operator involved. The authors’ technique relies on the construction of a scalar sequence, not majorizing, that …
Nonlinear Fractional Schrödinger Equations in R^N
Häftad, 2021
715 kr
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This monograph presents recent results concerning nonlinear fractional elliptic problems in the whole space. More precisely, it investigates the existence, multiplicity and qualitative properties of solutions for fractional Schrödinger equations by applying suitable variational and topological …
Polynomial Automorphisms and the Jacobian Conjecture
New Results from the Beginning of the 21st Century
Av Arno van den Essen, Shigeru Kuroda m. fl.
Häftad, 2021
606 kr
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This book is an extension to Arno van den Essen's Polynomial Automorphisms and the Jacobian Conjecture published in 2000. Many new exciting results have been obtained in the past two decades, including the solution of Nagata's Conjecture, the complete solution of Hilbert's fourteenth problem, the …
Geometric Analysis of Quasilinear Inequalities on Complete Manifolds
Maximum and Compact Support Principles and Detours on Manifolds
Av Bruno Bianchini, Luciano Mari m. fl.
Häftad, 2021
606 kr
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This book demonstrates the influence of geometry on the qualitative behaviour of solutions of quasilinear PDEs on Riemannian manifolds. Motivated by examples arising, among others, from the theory of submanifolds, the authors study classes of coercive elliptic differential inequalities on domains …
Zero Product Determined Algebras
Av Matej Brešar
Häftad, 2021
606 kr
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This book provides a concise survey of the theory of zero product-determined algebras, which has been developed over the last 15 years. It is divided into three parts. The first part presents the purely algebraic branch of the theory, the second part presents the functional analytic branch, and the …
Variational and Monotonicity Methods in Nonsmooth Analysis
Av Nicuşor Costea, Alexandru Kristály m. fl.
Häftad, 2021
606 kr
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This book provides a modern and comprehensive presentation of a wide variety of problems arising in nonlinear analysis, game theory, engineering, mathematical physics and contact mechanics. It includes recent achievements and puts them into the context of the existing literature.The volume is …
Relative Nonhomogeneous Koszul Duality
Häftad, 2022
606 kr
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This research monograph develops the theory of relative nonhomogeneous Koszul duality. Koszul duality is a fundamental phenomenon in homological algebra and related areas of mathematics, such as algebraic topology, algebraic geometry, and representation theory. Koszul duality is a popular subject …
Gromov-Hausdorff Stability of Dynamical Systems and Applications to PDEs
Häftad, 2022
606 kr
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This monograph presents new insights into the perturbation theory of dynamical systems based on the Gromov-Hausdorff distance. In the first part, the authors introduce the notion of Gromov-Hausdorff distance between compact metric spaces, along with the corresponding distance for continuous maps, …
Advances in the Theory of Varieties of Semigroups
Häftad, 2023
606 kr
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This monograph thoroughly explores the development of the theory of varieties of semigroups and of two related algebras: involution semigroups and monoids. Through this in-depth analysis, readers will attain a deeper understanding of the differences between these three types of varieties, which may …
Classes of Good Noetherian Rings
Häftad, 2023
606 kr
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This monograph provides an exhaustive treatment of several classes of Noetherian rings and morphisms of Noetherian local rings. Chapters carefully examine some of the most important topics in the area, including Nagata, F-finite and excellent rings, Bertini’s Theorem, and Cohen factorizations. Of …
Heat Kernel on Lie Groups and Maximally Symmetric Spaces
Häftad, 2023
606 kr
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This monograph studies the heat kernel for the spin-tensor Laplacians on Lie groups and maximally symmetric spaces. It introduces many original ideas, methods, and tools developed by the author and provides a list of all known exact results in explicit form – and derives them – for the heat kernel …
Oblique Derivative Problems for Elliptic Equations in Conical Domains
Häftad, 2023
606 kr
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The aim of our book is the investigation of the behavior of strong and weak solutions to the regular oblique derivative problems for second order elliptic equations, linear and quasi-linear, in the neighborhood of the boundary singularities. The main goal is to establish the precise exponent of the …
Ulam’s Conjecture on Invariance of Measure in the Hilbert Cube
Av Soon-Mo Jung
Häftad, 2023
606 kr
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This book discusses the process by which Ulam's conjecture is proved, aptly detailing how mathematical problems may be solved by systematically combining interdisciplinary theories. It presents the state-of-the-art of various research topics and methodologies in mathematics, and mathematical …
Monogenic Functions in Spaces with Commutative Multiplication and Applications
Av Sergiy A. Plaksa, Vitalii S. Shpakivskyi
Häftad, 2023
606 kr
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This monograph develops a theory of continuous and differentiable functions, called monogenic functions, in the sense of Gateaux functions taking values in some vector spaces with commutative multiplication. The study of these monogenic functions in various commutative algebras leads to a discovery …
Geometry of Holomorphic Mappings
Av Sergey Pinchuk, Rasul Shafikov m. fl.
Häftad, 2023
606 kr
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This monograph explores the problem of boundary regularity and analytic continuation of holomorphic mappings between domains in complex Euclidean spaces. Many important methods and techniques in several complex variables have been developed in connection with these questions, and the goal of this …
Theory of Np Spaces
Av Le Hai Khoi, Javad Mashreghi
Häftad, 2023
606 kr
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This monograph provides a comprehensive study of a typical and novel function space, known as the $\mathcal{N}_p$ spaces. These spaces are Banach and Hilbert spaces of analytic functions on the open unit disk and open unit ball, and the authors also explore composition operators and weighted …
Functions of Omega-Bounded Type
Basic Theory
Av Armen M. Jerbashian, Joel E. Restrepo
Häftad, 2024
606 kr
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The book gives the basic results of the theory of the spaces Apω of functions holomorphic in the unit disc, halfplane and in the finite complex plane, which depend on functional weights ω permitting any rate of growth of a function near the boundary of the domain. This continues and essentially …
Hadamard Products of Projective Varieties
Av Cristiano Bocci, Enrico Carlini
Häftad, 2024
606 kr
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This monograph deals with the Hadamard products of algebraic varieties. A typical subject of study in Algebraic Geometry are varieties constructed from other geometrical objects. The most well-known example is constituted by the secant varieties, which are obtained through the construction of the …
Unified Theory for Fractional and Entire Differential Operators
An Approach via Differential Quadruplets and Boundary Restriction Operators
Häftad, 2024
606 kr
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This monograph proposes a unified theory of the calculus of fractional and standard derivatives by means of an abstract operator-theoretic approach. By highlighting the axiomatic properties shared by standard derivatives, Riemann-Liouville and Caputo derivatives, the author introduces two new …
Interface Problems for Elliptic Second-Order Equations in Non-Smooth Domains
Häftad, 2024
606 kr
Kommande
The goal of this book is to investigate the behavior of weak solutions to the elliptic interface problem in a neighborhood of boundary singularities: angular and conic points or edges. This problem is considered both for linear and quasi-linear equations, which are among the less studied varieties. …
Advanced Techniques with Block Matrices of Operators
Av Mohammad Sal Moslehian, Hiroyuki Osaka
Häftad, 2024
606 kr
Kommande
This book introduces several powerful techniques and fundamental ideas involving block matrices of operators, as well as matrices with elements in a C*-algebra. These techniques allow for the solution of problems that may be difficult to treat. Specifically, 2×2 operator matrices yield significant …
New Lotka-Volterra Model of Competition With Strategic Aggression
Civil Wars When Strategy Comes Into Play
Av Elisa Affili, Serena Dipierro m. fl.
Häftad, 2024
606 kr
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This monograph introduces a new mathematical model in population dynamics that describes two species sharing the same environmental resources in a situation of open hostility. Its main feature is the expansion of the family of Lotka-Volterra systems by introducing a new term that defines …
Choquet Integral and Monotone Sublinear Operators
Av Sorin G. Gal, Constantin P. Niculescu
Häftad, 2026
606 kr
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This book is primarily addressed to graduate students and researchers interested in exploring problems connected to mathematics, statistics, finance, insurance, climate change, and machine learning. The basic tools include the capacity theory and the Choquet integral, recognized for their …
