Jetter K. (Ed), Schaback R. (Ed) — Topics in Multivariate Approximation and Interpolation :: Электронная библиотека попечительского совета мехмата МГУ

Главная Ex Libris Книги Журналы Статьи Серии Каталог Wanted Загрузка ХудЛит Справка Поиск по индексам Поиск Форум

Авторизация

Поиск по указателям

Jetter K. (Ed), Schaback R. (Ed) — Topics in Multivariate Approximation and Interpolation

Обсудите книгу на научном форуме

Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter

Название: Topics in Multivariate Approximation and Interpolation

Авторы: Jetter K. (Ed), Schaback R. (Ed)

Аннотация:

This book is a collection of eleven articles, written by leading experts and dealing with special topics in Multivariate Approximation and Interpolation. The material discussed here has far-reaching applications in many areas of Applied Mathematics, such as in Computer Aided Geometric Design, in Mathematical Modelling, in Signal and Image Processing and in Machine Learning, to mention a few. The book aims at giving a comprehensive information leading the reader from the fundamental notions and results of each field to the forefront of research. It is an ideal and up-to-date introduction for graduate students specializing in these topics, and for researchers in universities and in industry.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2006

Количество страниц: 346

Добавлена в каталог: 22.05.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

Representation, *-square integrable      327
Representation, bounded      321
Representation, completely reducible      296
Representation, continuous      293 321
Representation, contragredient      298 302 322
Representation, irreducible      293
Representation, nonunitary      302
Representation, p-integrable      332
Representation, reducible      293
Representation, separately continuous      321
Representation, square integrable      293 326
Representation, unitary      292 301
Representation, weak*-continuous      321
Representation, weakly continuous      321
Reproducing property      314 329
Ring      194
Ring, graded      210
Risk      260
Risk, empirical risk minimization      258
RKHS      233 268
Segment      156
Semi-orthogonality      89
Separable, strictly      281
Separable, weakly      282
Set, $V_{\gamma}$ shattered      264
Set, uniform Glivenko — Cantelli      263
Smoothing parameter      233
Source point      239
Space, Beppo — Levi      235
Space, coorbit      333
Space, CW-Pspace      142
Space, CW-space      115
Space, D-invariant      196
Space, Dirichlet      312
Space, EC-piecewise      140
Space, EC-Pspace      140
Space, EC-space      114
Space, extended Chebyshev      114
Space, fractional Sobolev      94
Space, generator of      57
Space, Haar      197
Space, hypothesis      260
Space, interpolation      208 267
Space, interpolation, degree reducing      209 212
Space, interpolation, of minimal degree      208
Space, Korobov, of periodic distributions      308
Space, local finitely generated      58
Space, multiplicity of      59
Space, native      236
Space, piecewise      140
Space, refinable      57
Space, reproducing kernel Hilbert      233 268
Space, shift-invariant      57
Space, Sobolev      234
Space, Sobolev, of periodic distributions      308
Space, spline      134
Space, W-piecewise      140
Space, W-piecewise, complete      142
Space, W-Pspace      140
Space, W-space      113
Space, W-space, complete      115
Space, wavelet      56
SPLINE      150
Spline in subdivision form      156
Spline ring      151 156
Spline surface      153
Spline surface,       154
Spline surface, normal continuous      154
Spline surface, single-sheeted      154
Spline,       153
Spline, box      59
Spline, multi-box      64
Spline, planar      153

Spline, real valued      153
Spline, simplex      204
Spline, thin-plate      235
Square integrability      305
Standard simplex      3 204
Stencil, central      31
Stencil, left      31
Stencil, regular      26
Stencil, right      31
Subdivision operator, data dependent      32
Subdivision scheme, $(\lamdba, \mu)$ -scheme      180
Subdivision scheme, -scheme      161
Subdivision scheme, B-spline      34
Subdivision scheme, Chaikin algorithm      34
Subdivision scheme, convexity-preserving      28
Subdivision scheme, curve      32
Subdivision scheme, displacement-safe      26
Subdivision scheme, Doo — Sabin algorithm      173
Subdivision scheme, ENO-based interpolatory      29
Subdivision scheme, essentially non oscillatory      29
Subdivision scheme, factorizable      33
Subdivision scheme, flip invariant      167
Subdivision scheme, geodesic      34
Subdivision scheme, linear 4-point interpolatory      25
Subdivision scheme, linear for curves      33
Subdivision scheme, linear stationary      159
Subdivision scheme, nonlinear 4-point interpolatory      26
Subdivision scheme, normal continuous      164
Subdivision scheme, projection      34
Subdivision scheme, quasi-linear      32
Subdivision scheme, shift invariant      167
Subdivision scheme, single-sheeted      164
Subdivision scheme, standard      163
Subdivision scheme, standard       165
Subdivision scheme, symmetric      167
Subdivision Surface      156
Subdivision, mid-point      57
Subdivision, mid-point, of the quadrilateral      57
Support vector      277
SVM      276
Sylvester's identity      119
System, complete W-      142
System, CW-Psystem      142
System, generating      158
Tangent plane, central      154
Tangent, convex      28
Tangent, straight      28
Tension parameter      25
Tensor product sites      223
Term order      211
Thresholding      90
Total positivity      136
Trade-off principle      246
TREE      90
Triangulation, Fraeijs de Veubeke-Sander      76
Triangulation, type-1      60
Triangulation, type-2      66
Two-scale equation      58
UGC      263
Uncertainty      246
Uncertainty relation      248
Uniform convergence, theory of      261
Unisolvent set      235
Voronovskaja type result      16
Voronovskaja type result, strong      17
Wavelet      61
Wavelet, adaptive wavelet method      88
Wavelet, basis      88
Wavelet, decomposition      56
Wavelet, space      56
Weingarten map      181
WENO      31
wronskian      113
Zwart — Powell element      75

1 2

О проекте