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| Авторизация |
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| Поиск по указателям |
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| Curtain R.F., Pritchard A.J. — Functional Analysis in Modern Applied Mathematics |
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| Предметный указатель |
Resolvent 163
Riccati equation 241 322
Riemann integrable functions 13 18 24
Riesz representation theorem 65
Riesz — Fischer theorem 62
Schwarz inequality 5 8 41 59 144
Second order stochastic processes 83
Self-adjoint operators 69
Self-adjoint operators, dual 49
Semigroup 148
Semilinear 55
Seminorm 8 111
Separable normed space 20
Separation principle 244
Set of attainability 244
Shift operator 165
Sigma algebra 24
Simple function 28 87
Sobolev embedding theorem 141
Sobolev Embedding Theorem, space 19 57 138
Span of vectors 7
Spectral decomposition 179
Spectral decomposition, theory for compact operators 174
Spectral decomposition, theory in finite dimensions 161
Spectrum of closed linear operators 163
Spectrum of closed linear operators of  162 163
Stability of closedness 207
Stability of closedness, of generating a semigroup 210 215
Stability of closedness, of invertibility 208
Stability of closedness, properties of operators 205
Stability of closedness, theory 191
Stability of closedness, under non aulonomous perturbations 216
Stabilizability 227
Stochastie differential equations 126
Stochastie differential equations, integration 127
Stochastie differential equations, process 82
Strict inductive limit 114
Strong continuity 43
| Strong continuity, convergence 42
Strong continuity, measurability 88
Strong continuity, measurability of operators 91
Sturm — Lionville problems 180
subspace 11
Sup norm 9
Switching locus 251
Symmetric and self-adjoint operators 72
Taylors Theorem 101
Tchebychev’s inequality 78
Tchebychev’s inequality, polynomials 61
Time optimal control 244
Topological spaces 106
Topologically isomorphic 10
Transport of a bounded operator 73
Unconstrained calculus of variations 259
Uniform boundedness theorem 43
Uniform Boundedness Theorem, continuity 42
Uniform Boundedness Theorem, convergence 42
Uniform Boundedness Theorem, distribution 81
Uniform Boundedness Theorem, measurability 91
Uniform Boundedness Theorem, norm 9
Uniformly convergent sequences 18
Uniformly convergent sequences, measurable 91
Unitary operator 69
van der Pol equation 197
Variance 36 78
Volterra integral equation 197
Wave equation 133
Weak* compactness 53
Weak* compactness, *convergence 52
Weak* compactness, convergence 51
Weak* compactness, solution 135
Weierstrass theorem 294
Weighted sum of projections 162 175
Weiner process 85
Weiner process, stochastic integral 128
White noise process 82
Wide sense stationary stochastic process 84
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