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| Arthur Erdélyi — Operational Calculus and Generalized Fuctions |
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| Предметный указатель |
Absolutely integrable 10
Algebra 22
Continuity of operator functions 8
Convergence of convolution quotients 8 43f
Convergence, uniform 43
Convolution 8 14f 24 27
Convolution quotients 1 2 8f
Convolution ring 14f
Derivative of operator function 54f
Derivative, extended 29 33
Derivative, locally integrable 10 28f 35
Difference equations 70f
Differential equation 35f 59f
Diffusion equation 85f
Distributions 7f
Divisor of zero 16f
Embedding 23f
Field of convolution quotients 20f
Function of slow growth 64f 67 87 89f 92
Function, Bessel 40f 50 61 66
Function, delta 1 4f 8 25 33 45 47 61
Function, error 66f 89 91
Function, exponential 2 60f
Function, generalized 1 6f 25f
Function, generating 70
Function, Heaviside's unit 5 9 14 29 53
Function, impulse 1 5 6 8 33
Function, locally integrable 9f 23f 27
| Function, numerical 52
Function, operator 2 8 51f
Heaviside calculus 1f
Integral equations 39f 49
Integral of fractional order 15
Integral of operator function 56f
Integral, finite part of 31f
Integration 9f
Laplace transformation 3f 34 57
Lerch's theorem 18
Logarithm 60f
Operational calculus 1f
Operator 1 26
Operator of differentiation 8 23 26 28f
Operator of integration 8 9 23 26
Operator, numerical 25
Operator, perfect 26
Operator, shift 53
Power series 48f
Recurrence relation 70 72f
Sequence, of convolution quotients 43f
Series, of convolution quotients 48f
Singularity, of a locally integrable function 9f
Solution, generalized 76f 80 84 86f
Symbolic method 2
Telegraphist's equation 76
Value, of a generalized function 25f
Vector space 15 22 24 27
Wave equation 75f
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