Télécharger le livre :  Immersions in Warped Product Spaces

This book offers a detailed exploration of the intrinsic geometrical properties of warped product spaces through the lens of mathematical analysis and global differential geometry. It touches upon key topics such as uniqueness results, height estimates, Riemannian...
Editeur : Birkhäuser
Parution : 2024-12-27
Collection : Frontiers in Mathematics
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Télécharger le livre :  Theory of Np Spaces

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...
Editeur : Birkhäuser
Parution : 2023-10-09
Collection : Frontiers in Mathematics
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Télécharger le livre :  Geometry of Holomorphic Mappings

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...
Editeur : Birkhäuser
Parution : 2023-09-14
Collection : Frontiers in Mathematics
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Télécharger le livre :  Monogenic Functions in Spaces with Commutative Multiplication and Applications

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...
Editeur : Birkhäuser
Parution : 2023-07-18
Collection : Frontiers in Mathematics
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Télécharger le livre :  Ulam's Conjecture on Invariance of Measure in the Hilbert Cube

?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...
Editeur : Birkhäuser
Parution : 2023-06-28
Collection : Frontiers in Mathematics
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Télécharger le livre :  Oblique Derivative Problems for Elliptic Equations in Conical Domains

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...
Editeur : Birkhäuser
Parution : 2023-05-31
Collection : Frontiers in Mathematics
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Télécharger le livre :  Applications of Holomorphic Functions in Geometry

This book expounds on the recent developments in applications of holomorphic functions in the theory of hypercomplex and anti-Hermitian manifolds as well as in the geometry of bundles. It provides detailed information about holomorphic functions in algebras and...
Editeur : Birkhäuser
Parution : 2023-05-06
Collection : Frontiers in Mathematics
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Télécharger le livre :  Heat Kernel on Lie Groups and Maximally Symmetric Spaces

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...
Editeur : Birkhäuser
Parution : 2023-04-25
Collection : Frontiers in Mathematics
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Télécharger le livre :  Gromov-Hausdorff Stability of Dynamical Systems and Applications to PDEs

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...
Editeur : Birkhäuser
Parution : 2022-10-30
Collection : Frontiers in Mathematics
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Télécharger le livre :  Relative Nonhomogeneous Koszul Duality

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...
Editeur : Birkhäuser
Parution : 2022-02-10
Collection : Frontiers in Mathematics
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Télécharger le livre :  Variational and Monotonicity Methods in Nonsmooth Analysis

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...
Editeur : Birkhäuser
Parution : 2021-09-20
Collection : Frontiers in Mathematics
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Télécharger le livre :  Zero Product Determined Algebras

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...
Editeur : Birkhäuser
Parution : 2021-08-25
Collection : Frontiers in Mathematics
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Télécharger le livre :  Nonlinear Fractional Schrödinger Equations in R^N

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...
Editeur : Birkhäuser
Parution : 2021-04-19
Collection : Frontiers in Mathematics
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Télécharger le livre :  Polynomial Automorphisms and the Jacobian Conjecture

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...
Editeur : Birkhäuser
Parution : 2021-03-31
Collection : Frontiers in Mathematics
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Télécharger le livre :  Geometric Analysis of Quasilinear Inequalities on Complete Manifolds

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...
Editeur : Birkhäuser
Parution : 2021-01-18
Collection : Frontiers in Mathematics
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Télécharger le livre :  A Primer for a Secret Shortcut to PDEs of Mathematical Physics

?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...
Editeur : Birkhäuser
Parution : 2020-08-24
Collection : Frontiers in Mathematics
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Télécharger le livre :  Topics in Uniform Approximation of Continuous Functions

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...
Editeur : Birkhäuser
Parution : 2020-08-18
Collection : Frontiers in Mathematics
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Télécharger le livre :  Mild Differentiability Conditions for Newton's Method in Banach Spaces

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...
Editeur : Birkhäuser
Parution : 2020-07-03
Collection : Frontiers in Mathematics
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Télécharger le livre :  Special Functions and Generalized Sturm-Liouville Problems

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...
Editeur : Birkhäuser
Parution : 2020-01-25
Collection : Frontiers in Mathematics
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Télécharger le livre :  Quaternionic Approximation

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...
Editeur : Birkhäuser
Parution : 2019-04-12
Collection : Frontiers in Mathematics
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