hilbertian kernels and spline functions studies in computational mathematics

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Hilbertian Kernels And Spline Functions

Author : M. Atteia
ISBN : 9781483295190
Genre : Mathematics
File Size : 57. 35 MB
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In this monograph, which is an extensive study of Hilbertian approximation, the emphasis is placed on spline functions theory. The origin of the book was an effort to show that spline theory parallels Hilbertian Kernel theory, not only for splines derived from minimization of a quadratic functional but more generally for splines considered as piecewise functions type. Being as far as possible self-contained, the book may be used as a reference, with information about developments in linear approximation, convex optimization, mechanics and partial differential equations.

Reproducing Kernel Hilbert Spaces In Probability And Statistics

Author : Alain Berlinet
ISBN : 9781441990969
Genre : Business & Economics
File Size : 87. 26 MB
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The book covers theoretical questions including the latest extension of the formalism, and computational issues and focuses on some of the more fruitful and promising applications, including statistical signal processing, nonparametric curve estimation, random measures, limit theorems, learning theory and some applications at the fringe between Statistics and Approximation Theory. It is geared to graduate students in Statistics, Mathematics or Engineering, or to scientists with an equivalent level.

Reproducing Kernel Spaces And Applications

Author : Daniel Alpay
ISBN : 9783034880770
Genre : Mathematics
File Size : 32. 28 MB
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The notions of positive functions and of reproducing kernel Hilbert spaces play an important role in various fields of mathematics, such as stochastic processes, linear systems theory, operator theory, and the theory of analytic functions. Also they are relevant for many applications, for example to statistical learning theory and pattern recognition. The present volume contains a selection of papers which deal with different aspects of reproducing kernel Hilbert spaces. Topics considered include one complex variable theory, differential operators, the theory of self-similar systems, several complex variables, and the non-commutative case. The book is of interest to a wide audience of pure and applied mathematicians, electrical engineers and theoretical physicists.

Advanced Problems In Constructive Approximation

Author : Martin D. Buhmann
ISBN : 3764366486
Genre : Mathematics
File Size : 77. 41 MB
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This volume contains refereed articles originating from the 3rd International Dortmund Meeting on Approximation Theory in Witten-Bommerholz. The contributors are renowned international experts in their individual fields of research, including, in particular, approximation methods, orthogonal polynomials, radial basis functions, multivariate spline approximation and interpolation, Pade approximation, polynomial approximation, and quasi-interpolation.

Multidimensional Minimizing Splines

Author : R. Arcangéli
ISBN : 9781402077876
Genre : Mathematics
File Size : 66. 52 MB
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This book is of interest to mathematicians, geologists, engineers and, in general, researchers and post graduate students involved in spline function theory, surface fitting problems or variational methods. From reviews: The book is well organized, and the English is very good. I recommend the book to researchers in approximation theory, and to anyone interested in bivariate data fitting." (L.L. Schumaker, Mathematical Reviews, 2005).

Analytic Number Theory Approximation Theory And Special Functions

Author : Gradimir V. Milovanović
ISBN : 9781493902583
Genre : Mathematics
File Size : 46. 24 MB
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This book, in honor of Hari M. Srivastava, discusses essential developments in mathematical research in a variety of problems. It contains thirty-five articles, written by eminent scientists from the international mathematical community, including both research and survey works. Subjects covered include analytic number theory, combinatorics, special sequences of numbers and polynomials, analytic inequalities and applications, approximation of functions and quadratures, orthogonality and special and complex functions. The mathematical results and open problems discussed in this book are presented in a simple and self-contained manner. The book contains an overview of old and new results, methods, and theories toward the solution of longstanding problems in a wide scientific field, as well as new results in rapidly progressing areas of research. The book will be useful for researchers and graduate students in the fields of mathematics, physics and other computational and applied sciences.

Advances In Neural Information Processing Systems 13

Author : Todd K. Leen
ISBN : 0262122413
Genre : Computers
File Size : 42. 30 MB
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The proceedings of the 2000 Neural Information Processing Systems (NIPS)Conference.

Third International Conference On Approximation And Optimization In The Caribbean

Author : Bernd Bank
ISBN : 9683670741
Genre : Approximation theory
File Size : 61. 38 MB
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Reproducing Kernel Hilbert Spaces

Author : Howard L. Weinert
ISBN : STANFORD:36105031984888
Genre : Mathematics
File Size : 37. 32 MB
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Advanced Concepts In Ocean Measurements For Marine Biology

Author : Belle W. Baruch Institute for Marine Biology and Coastal Research
ISBN : 0872493881
Genre : Science
File Size : 69. 81 MB
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