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| Авторизация |
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| Duistermaat J.J, Kolk J.A.C. — Distributions: theory and applications |
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| Предметный указатель |
Position operator 70
Positive distribution 34
Positive measure 35
Potential 110
Potential, retarded 140
Pre-sheaf 56
Principal value 3
Principle of uniform boundedness 44
Principle, Huygens' 131
probability density 35
Probability density of normal distribution 23
Probability measure 35
Problem, Cauchy, existence 192
Problem, Dirichlet's 119
Product, direct 96
Product, tensor 96
Proper mapping 77
Property, locality 215
Property, Radon — Riesz' 212
Property, weak locality 215
Pseudo-differential operator 182
Pullback, of distributions 79
Pullback, of functions 77
Pushforward, of distributions 77
Radon inversion formula 165
Radon measure 34
Radon transform 164
Radon — Riesz property 212
Rapidly decreasing 144
Real-analytic 116
Reflection, of distribution 80
Reflection, of function 31
Regularity theorem 112
Remainder of order k 51
Restriction of distribution 53
Retarded potential 140
Riemann integration 22
Riemann — Lebesgue theorem 142
Riemann — Liouville integral 126
Riemann's "nondifferentiable" function 46
Seminorm 61
Seminorms, separating 61
Sense, in distributional 6
Sense, in weak 6
Separating seminorms 61
Sequence of moderate growth 169
Sequentially continuous 62
Set of sums 13
Set, measurable 23
Sheaf 56
Sine 142
Singular integral operator 112
Singular support 56
Singular support, analytic 116
Sinus cardinalis 142
Sobolev embedding theorem 202
Sobolev space 201
Sokhotsky formulas 221
Solution of Cauchy problem, distributional 132
Solution, fundamental 109
Source, point 2
Space, Banach 103
| Space, Hilbert 154
Space, Sobolev 201
Space, topological linear 28
square-integrable 154
Stationary point 57
Subcovering 11
Submersion 85
Subsequence 11
Sum mapping 96
Support, analytic singular 116
Support, of distribution 54
Support, of function 15
Support, singular 56
Symbol 179
Taylor polynomial 51
Tempered distribution 150
Tensor product 96
Test function 15
Theorem on changing differentiation and integration 22
Theorem on interchanging differentiations 18
Theorem, Arzela — Ascoli's 5
Theorem, Banach — Steinhaus' 44
Theorem, Bolzano — Weierstrass' 13
Theorem, Cauchy's Integral 114
Theorem, divergence 2
Theorem, Hahn — Banach's 153
Theorem, Heine — Borel's 13
Theorem, Inverse Function 78
Theorem, Liouville's 184
Theorem, Paley — Wiener's 190
Theorem, regularity 112
Theorem, Riemann — Lebesgue's 142
Theorem, Sobolev's Embedding 202
Theorem, Weierstrass' Approximation 96 153
Topological dual 28 63
Topological linear space 28
topology 62
Torus 174 175
Total derivative 49
Transform, Fourier 142
Transform, Fourier — Laplace 144
Transform, Hilbert 158
Transform, Laplace 144
Transform, Radon 164
Transformation, as density 79
Transformation, as generalized function 79
Translated function 7
Translation 80
TRANSPOSE 75
Uniform boundedness, principle of 44
Unitary 154
Value, principal 3
Velocity vector field 82
Wave operator 113
Wave, plane 141
Weak convergence 43 63
Weak convergence of measures 43
Weak locality property 215
Weak sense, in 6
Weierstrass' approximation theorem 96 153
Weight function, averaging with 6
Weyl's lemma 112
Young's inequality 106
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