The Bellman Function Technique in Harmonic Analysis, Vasily Vasyunin, Alexander Volberg

Автор: Austin Blaquiere
Название: Modeling and Control of Systems in Engineering, Quantum Mechanics, Economics and Biosciences
ISBN: 3540507906 ISBN-13(EAN): 9783540507901
Издательство: Springer
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Описание: Part I of this book accounts for new developments concerning robustness, systems with two time scales and related treatments utilizing singular perturbation analysis. Part II is mainly concerned with systems in which uncertainty comes out through quantum mechanical rules;

Автор: N.D. Bellman; G. Adomian
Название: Partial Differential Equations
ISBN: 9027716811 ISBN-13(EAN): 9789027716811
Издательство: Springer
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Автор: N.D. Bellman; J. Vasudevan
Название: Wave Propagation
ISBN: 9027717664 ISBN-13(EAN): 9789027717665
Издательство: Springer
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Описание: Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non- trivially) in regional and theoretical economics;

Автор: N.D. Bellman; R.S. Roth
Название: Methods in Approximation
ISBN: 9027721882 ISBN-13(EAN): 9789027721884
Издательство: Springer
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Описание: Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non- trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.

Автор: Isaac Pesenson; Quoc Thong Le Gia; Azita Mayeli; H
Название: Frames and Other Bases in Abstract and Function Spaces
ISBN: 3319555499 ISBN-13(EAN): 9783319555492
Издательство: Springer
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Описание: Frames: Theory and Practice.- Dynamical Sampling and Systems from Iterative Actions of Operators.- Optimization Methods for Frame Conditioning and Application to Graph Laplacian Scaling.- A Guide to Localized Frames and Applications to Galerkin-Like Representations of Operators.- Computing the Distance between Frames and between Subspaces of a Hilbert Space.- Sigma-Delta Quantization for Fusion Frames and Distributed Sensor Networks.- Recent Progress in Shearlet Theory: Systematic Construction of Shearlet Dilation Groups, Characterization of Wavefront Sets, and New Embeddings.- Numerical Solution to an Energy Concentration Problem Associated with the Special Affine Fourier Transformation.- A Frame Reconstruction Algorithm with Applications to Magnetic Resonance Imaging.- Frame Properties of Shifts of Prolate and Bandpass Prolate Functions.- Fast Fourier Transforms for Spherical Gauss-Laguerre Basis Functions.- Multiscale Radial Basis Functions.- Orthogonal Wavelet Frames on Manifolds Based on Conformal Mappings.- Quasi Monte Carlo Integration and Kernel-Based Function Approximation on Grassmannians.- Construction of Multiresolution Analysis Based on Localized Reproducing Kernels.- Regular Sampling on Metabelian Nilpotent Lie Groups: The Multiplicity-Free Case.- Parseval Space-Frequency Localized Frames on Sub-Riemann Compact Homogeneous Manifolds.

Автор: Isaac Pesenson; Quoc Thong Le Gia; Azita Mayeli; H
Название: Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Science
ISBN: 3319555553 ISBN-13(EAN): 9783319555553
Издательство: Springer
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Описание: Introduction.- Characterization of Gevrey Regularity by a Class of FBI Transforms.- A Novel Mathematical Approach to the Theory of Translation Invariant Linear Systems.- Asymptotic Behaviour of the Fourier Transform of a Function of Bounded Variation.- Convergence and Regularization of Sampling Series.- Harmonic Analysis in Non-Euclidean Spaces: Theory and Application.- An Harmonic Analysis of Directed Graphs from Arithmetic Functions and Primes.- Sheaf and Duality Methods for Analyzing Multi-Model Systems.- On Boundary-Value Problems for a Partial Differential Equation with Caputo and Bessel Operator.- On the Solvability of the Zaremba Problem in Infinite Sectors and the Invertibility of Associated Singular Integral Operators.- On the Solution of the Oblique Derivative Problem by Constructive Runge-Walsh Concepts.- An Overview of Numerical Acceleration Techniques for Non-Linear Dimension Reduction.- Adaptive Density Estimation on the Circle by Nearly-Tight Frames.- Interactions between Kernels, Frames, and Persistent Homology.- Multi-Penalty Regularization for Detecting Relevant Variables.- Stable Likelihood Computation for Gaussian Random Fields.

Автор: Philippe Jaming, Andreas Hartmann, Karim Kellay, Stanislas Kupin, Gilles Pisier
Название: Harmonic Analysis, Function Theory, Operator Theory, and Their Applications: Conference Proceedings, Bordeaux, June 1-4, 2015
ISBN: 6068443086 ISBN-13(EAN): 9786068443089
Издательство: Mare Nostrum (Eurospan)
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Описание: The volume contains the proceedings of an international conference in honor of Jean Esterle, held from June 1-4, 2015, in Bordeaux. Most of the papers present original work in harmonic analysis, function theory, operator theory, and their applications; others review known results and put them in a new perspective. Among the subjects covered are: operators on spaces of holomorphic functions; Hankel and Toeplitz operators; Carleson measures for various spaces; spectral problems for differential operators; geometry of Banach spaces; linear dynamics; interpolation of functions; idempotents in Banach algebras; and magnetic distributions on thin plates.

Автор: Lindenstrauss
Название: Classical Banach Spaces I and II
ISBN: 3540606289 ISBN-13(EAN): 9783540606284
Издательство: Springer
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Описание: This volume in the series "Classics in Mathematics" deals with two types of Banach spaces - sequence spaces and function spaces.

Автор: Lubos Pick, Alois Kufner, Oldrich John, Svatopluk Fucik
Название: Function Spaces, 1
ISBN: 3110250411 ISBN-13(EAN): 9783110250411
Издательство: Walter de Gruyter
Цена: 198290.00 T
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Описание: This is the first part of the second revised and extended edition of the well established book "Function Spaces" by Alois Kufner, Oldrich John, and Svatopluk Fucik. Like the first edition this monograph is an introduction to function spaces defined in terms of differentiability and integrability classes. It provides a catalogue of various spaces and benefits as a handbook for those who use function spaces in their research or lecture courses. This first volume is devoted to the study of function spaces, based on intrinsic properties of a function such as its size, continuity, smoothness, various forms of a control over the mean oscillation, and so on. The second volume will be dedicated to the study of function spaces of Sobolev type, in which the key notion is the weak derivative of a function of several variables.

Автор: Raul E. Curto, In Sung Hwang, Woo Young Lee
Название: Matrix Functions of Bounded Type: An Interplay Between Function Theory and Operator Theory
ISBN: 1470436248 ISBN-13(EAN): 9781470436247
Издательство: Mare Nostrum (Eurospan)
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Цена: 67710.00 T
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Описание: In this paper, the authors study matrix functions of bounded type from the viewpoint of describing an interplay between function theory and operator theory. They first establish a criterion on the coprime-ness of two singular inner functions and obtain several properties of the Douglas-Shapiro-Shields factorizations of matrix functions of bounded type. They propose a new notion of tensored-scalar singularity, and then answer questions on Hankel operators with matrix-valued bounded type symbols. They also examine an interpolation problem related to a certain functional equation on matrix functions of bounded type; this can be seen as an extension of the classical Hermite-Fejer Interpolation Problem for matrix rational functions.The authors then extend the $H^\infty$-functional calculus to an $\overline{H^\infty}+H^\infty$-functional calculus for the compressions of the shift. Next, the authors consider the subnormality of Toeplitz operators with matrix-valued bounded type symbols and, in particular, the matrix-valued version of Halmos's Problem 5 and then establish a matrix-valued version of Abrahamse's Theorem. They also solve a subnormal Toeplitz completion problem of $2\times 2$ partial block Toeplitz matrices. Further, they establish a characterization of hyponormal Toeplitz pairs with matrix-valued bounded type symbols and then derive rank formulae for the self-commutators of hyponormal Toeplitz pairs.

Название: Categorical and Nonparametric Data Analysis
ISBN: 0367698153 ISBN-13(EAN): 9780367698157
Издательство: Taylor&Francis
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Название: Categorical and Nonparametric Data Analysis
ISBN: 0367702541 ISBN-13(EAN): 9780367702540
Издательство: Taylor&Francis
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Цена: 137810.00 T
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