Geometric Approximation Theory by Alexey R Alimov
This monograph provides a comprehensive introduction to the classical geometric approximation theory, emphasizing important themes related to the theory including uniqueness, stability, and existence of elements of best approximation. It presents a number of fundamental results for both these and related problems, many of which appear for the first time in monograph form. The text also discusses the interrelations between main objects of geometric approximation theory, formulating a number of auxiliary problems for demonstration. Central ideas include the problems of existence and uniqueness of elements of best approximations as well as properties of sets including subspaces of polynomials and splines, classes of rational functions, and abstract subsets of normed linear spaces. The book begins with a brief introduction to geometric approximation theory, progressing through fundamental classical ideas and results as a basis for various approximation sets, suns, and Chebyshev systems. Itconcludes with a review of approximation by abstract sets and related problems, presenting novel results throughout the section. This text is suitable for both theoretical and applied viewpoints and especially researchers interested in advanced aspects of the field.-
The Higher Infinite
-
Fredholm Theory in Topological Vector Spaces
-
Combinatorial Set Theory of C*-Algebras
-
Classical Lie Algebras at Infinity
-
Representation Theory of Finite Group Extensions
-
Determinants, Grobner Bases and Cohomology
-
Topics in Global Real Analytic Geometry
-
Mathematical Methods for Elastic Plates
-
Self-Adjoint Extension Schemes and Modern Applications to Quantum Hamiltonians
-
The Weierstrass Sigma Function in Higher Genus and Applications to Integrable Equations
-
The Riordan Group and Applications
-
Domination in Graphs: Core Concepts
-
Real Algebraic Varieties
-
Curvature Measures of Singular Sets
-
Structure and Regularity of Group Actions on One-Manifolds
-
Superconcentration and Related Topics
-
Extremal Polynomials and Riemann Surfaces
-
Simplicial Partitions with Applications to the Finite Element Method
-
Modular Forms
-
Microstructured Materials: Inverse Problems
-
Projective and Cayley-Klein Geometries
-
Monotone Complete C*-algebras and Generic Dynamics
-
Logical Foundations of Mathematics and Computational Complexity
-
Arithmetic of Quadratic Forms
-
Hardy Spaces on the Euclidean Space
-
Functional Analytic Techniques for Diffusion Processes
-
Harnack's Inequality for Degenerate and Singular Parabolic Equations
-
Structure and Geometry of Lie Groups
-
Inverse Linear Problems on Hilbert Space and their Krylov Solvability
-
Modular Forms: Basics and Beyond
-
The Absolute Galois Group of a Semi-Local Field
-
Hardy Operators, Function Spaces and Embeddings
-
Random Fields and Geometry
-
Positive Polynomials
-
Classical Fine Potential Theory
| SKU | Unavailable |
| ISBN 13 | 9783030909536 |
| ISBN 10 | 3030909530 |
| Title | Geometric Approximation Theory |
| Author | Alexey R Alimov |
| Series | Springer Monographs In Mathematics |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Springer Nature Switzerland AG |
| Year published | 2023-03-30 |
| Number of pages | 508 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |