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1.

図書

図書
H. Leipholz
出版情報: Leyden : Noordhoff International Publishing, [1977]  viii, 246 p. ; 23 cm
シリーズ名: Monographs and textbooks on mechanics of solids and fluids ; 5
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2.

図書

図書
Alexander Weinstein and William Stenger
出版情報: New York : Academic Press, 1972  xi, 236 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 89
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目次情報: 続きを見る
Preface
Overview / 1:
Methods of Operator Approximation in System Modelling / I:
Nonlinear Operator Approximation with Preassigned Accuracy / 2:
Introduction / 2.1:
Generic formulation of the problem / 2.2:
Operator approximation in space C([0; 1]) / 2.3:
Operator approximation in Banach spaces by polynomial operators / 2.4:
Approximation on compact sets in topological vector spaces / 2.5:
Approximation on noncompact sets in Hilbert spaces / 2.6:
Special results for maps into Banach spaces / 2.7:
Concluding remarks / 2.8:
Interpolation of Nonlinear Operators 65 / 3:
Lagrange interpolation in Banach spaces / 3.1:
Weak interpolation of nonlinear operators / 3.3:
Some related results / 3.4:
Realistic Operators and their Approximation / 3.5:
Formalization of concepts related to description of real-world objects / 4.1:
Approximation of RÂícontinuous operators / 4.3:
Methods of Best Approximation for Nonlinear Operators / 4.4:
Best Approximation of nonlinear operators in Banach spaces: Deterministic case / 5.1:
Estimation of mean and covariance matrix for random vectors / 5.3:
Best Hadamard-quadratic approximation / 5.4:
Best polynomial approximation / 5.5:
Best causal approximation / 5.6:
Best hybrid approximations / 5.7:
Optimal Estimation of Random Vectors / 5.8:
Computational Methods for Optimal Filtering of Stochastic Signals / 6:
Optimal linear Filtering in Finite dimensional vector spaces / 6.1:
Optimal linear Filtering in Hilbert spaces / 6.3:
Optimal causal linear Filtering with piecewise constant memory / 6.4:
Optimal causal polynomial Filtering with arbitrarily variable memory / 6.5:
Optimal nonlinear Filtering with no memory constraint / 6.6:
Computational Methods for Optimal Compression and Reconstruction of Random Data / 6.7:
Standard Principal Component Analysis and Karhunen-Loeeve transform (PCA{KLT) / 7.1:
Rank-constrained matrix approximations / 7.3:
Generic PCA{KLT / 7.4:
Optimal hybrid transform based on Hadamard-quadratic approximation / 7.5:
Optimal transform formed by a combination of nonlinear operators / 7.6:
Optimal generalized hybrid transform / 7.7:
Bibliography / 7.8:
Index
Preface
Overview / 1:
Methods of Operator Approximation in System Modelling / I:
3.

図書

図書
G. Fichera ; translated from the Italian by Sandro Graffi
出版情報: London ; San Francisco : Pitman, 1978  x, 208 p. ; 26 cm
シリーズ名: Surveys and reference works in mathematics / main editors, A. Jeffrey, R.G. Douglas ; 3
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4.

図書

図書
I.I. Hirschman, Jr., Daniel Hughes
出版情報: Berlin ; New York : Springer-Verlag, 1977  145 p. ; 25 cm
シリーズ名: Lecture notes in mathematics ; 618
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5.

図書

図書
Charles Rockland
出版情報: Berlin ; New York : Springer-Verlag, 1975  171 p. ; 25 cm
シリーズ名: Lecture notes in mathematics ; 464
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6.

図書

図書
F.V. Atkinson
出版情報: New York : Academic Press, c1972  xi, 209 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 82-1 . Multiparameter eigenvalue problems / [by] F.V. Atkinson ; v. 1
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7.

図書

図書
N.J. Pullman
出版情報: New York : M. Dekker, c1976  vi, 240 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 35
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8.

図書

図書
A.R. Gourlay, G.A. Watson
出版情報: London ; New York : Wiley, c1973  xi, 132 p ; 24 cm
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