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1.

図書

図書
J. Yeh
出版情報: New York : M. Dekker, 1973  viii, 551 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 13
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2.

図書

図書
Karl J. Åström
出版情報: New York : Academic Press, 1970  xi, 299 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 70
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目次情報: 続きを見る
Preface
Contents
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
Contents
Overview / 1:
3.

図書

図書
Murray Rosenblatt
出版情報: New York : Oxford University Press, 1962  x, 208 p. ; 22 cm
シリーズ名: University texts in the mathematical sciences
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4.

図書

図書
M. Rosenblatt
出版情報: New York ; Berlin : Springer-Verlag, c1974  x, 228 p. ; 24 cm
シリーズ名: Graduate texts in mathematics ; 17
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5.

図書

図書
Harald Cramér, M.R. Leadbetter
出版情報: New York : Wiley, c1967  xii, 348 p. ; 24 cm
シリーズ名: Wiley series in probability and mathematical statistics ; . Tracts on probability and statistics
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6.

図書

図書
D.J. Bartholomew
出版情報: London ; New York : Wiley, 1973  xi, 411 p. ; 24 cm
シリーズ名: Wiley series in probability and mathematical statistics
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7.

図書

図書
Athanasios Papoulis
出版情報: New York : McGraw-Hill, c1965  xi, 583 p. ; 24 cm
シリーズ名: McGraw-Hill series in systems science
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8.

図書

図書
edited by N.U. Prabhu, I.V. Basawa
出版情報: New York : M. Dekker, c1991  viii, 276 p. ; 24 cm
シリーズ名: Probability, pure and applied ; 6
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9.

図書

図書
edited by A.T. Bharucha-Reid
出版情報: New York : Academic Press, 1968-1973  3 v. ; 24 cm
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10.

図書

図書
by A.V. Skorokhod ; translated from the Russian by Scripta Technica, Inc
出版情報: Reading, Mass. : Addison-Wesley, c1965  viii, 199 p. ; 24 cm
シリーズ名: Adiwes international series in mathematics ; 7021
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