Hartman S., Mikusinski J. — The theory of Lebesgue measure and integration :: Электронная библиотека попечительского совета мехмата МГУ

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Hartman S., Mikusinski J. — The theory of Lebesgue measure and integration

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Название: The theory of Lebesgue measure and integration

Авторы: Hartman S., Mikusinski J.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1961

Количество страниц: 174

Добавлена в каталог: 21.11.2012

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Предметный указатель

Absolutely continuous functions      99
Accumulation (limit) point      15
Bessel's inequality      121
Borel sets      19
Bunyakovsky (Schwarz) inequality      109
Cantor set      16
Cauchy criterion in measure      74
Closed set      15
Complement of set      10
Completeness      124
Components of set      15
Convergence in measure      71
Convolution      160
Countable set      13
Darboux property      83
De Morgan laws      10
Dense set      11
Density point (point of metric density)      98
Denumerable set      11
Difference of sets      9
Dini derivates      91
Distance between functions      110
Equi-integrable functions      79
Exterior measure      32
Fourier coefficients      122
Fourier series      122
Fubini theorem      150
Function of finite (bounded) variation      85
Fundamental theorem of the integral calculus      83
Hoelder's inequality      108
inclusion      9
Integration by parts      103
Intersection of sets      9
Jordan decomposition      86
Lebesgue integral      43 53 156
Lebesgue measure      20

Lebesgue theorem      60
Lebesgue-integrable functions      156
Limit (accumulation) point      15
Mean convergence      61
Mean convergence of order p      111
Measurable functions      33
Measurable sets      19 20
Measure of set      18 143
Metric space      111
Minkowski inequality      109
Multiple integrals      149
Nondenumerable set      12
Norm of function      110
Open set      14
Orthogonal functions      119
Orthonormal functions      120 134
Oscillation of function      40
Parseval relation      124
Point of metric density (density point)      98
Primitive function      83
Rarefaction point      98
Rectangle rule      143
Rectifiable arc      87
Riemann — Stieltjes integral      170
Schwarz (Bunyakovsky) inequality      109
Set      9
Set of type $F_{\sigma}$       39
Set of type $G_{\delta}$       39
Space      10
Stieltjes integral      163
Subset, superset      9
Tonelli theorem      155
Union (of sets)      9
Variation of function      85
Void sets      18
Weights      107

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