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Donoghue Jr.W.F. — Monotone Matrix Functions and Analytic Continuation |
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Предметный указатель |
Absolute continuity 53
Almost positive matrix 134
Bendat and Sherman 85
Bergman kernel function 92 141
Bernstein, S.N. 13
Big Bernstein theorem 14
Caratheodory, C. 157
Cauchy interpolation problem 100
Choquet, G. 170
Completely monotone function 13
Degree of rational function 1
Differential 79
Divided difference 1
Eberlein, W. 171
entropy 148
Exceptional solution 107
Exponential representation 27
Extended Loewner matrix 40
Fatou theorem 44
Fehrman, J. 173
FitzGerald, C. 140 144 151 167
Gamma function 29
Gram's matrix 8
Hamburger moment problem 85
Harmonic measure 159
Hilbert — Schmidt norm 66 78
Hindmarsh, A. 36
Infinitely divisible 135
Integral representation 20 21
Kernel function 89
Koranyi and Nagy 85 94
Leibnitz rule 6
Linear problem 101
Little Bernstein theorem 13
| Local property 82 83 131
Loewner matrix 39
Loewner — FitzGerald theorem 146
Loewner's theorem 85 96 126
Matrix function 67
Monotone matrix function 68
Multiplicity function 58
Newtonian interpolation polynomials 3
One-dimensional perturbations 63
One-dimensional projections 9 63
operator function 67
Pade table 172
Pick function 18
Pick matrix 34
Pick — Nevanlinna interpolation 172
Pick's theorem 94 117
Pick, G. 94
Positive matrix 7 88
Radon — Nikodym derivative 54
Regularization 11
Remainder theorem 7
Reproducing kernel 89
Reproducing kernel space 88 89
Resolvent 51
Resolvent equation 51 53
Robertson, A. 170
Schur exponential 10 93
Schur product 9
Schur, I. 9
Schwarz inequality 8
Seidel, W. 174
Self-adjoint 50
Sesqui-analytic function 92
Spectral theorem 50 62
Univalent 146
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