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Erdelyi A. — Operational Calculus and Generalized Functions
Erdelyi A. — Operational Calculus and Generalized Functions

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Название: Operational Calculus and Generalized Functions

Автор: Erdelyi A.


This book is based on a course offered at the California Institute of Technology. Typically, the majority of the students are advanced undergraduates (juniors and seniors), the others being beginning graduate students (mostly engineering). With a class having a firm grasp of advanced calculus, it has been found possible to cover the material, with some omissions in the last two chapters, in a one-quarter course meeting three times a week. Without omissions, and at a somewhat more leisurely pace, the material presented in the book should be sufficient for a one-semester course.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1962

Количество страниц: 108

Добавлена в каталог: 12.07.2013

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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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