Peyerimhoff A. - Lectures On Summability :: Электронная библиотека попечительского совета мехмата МГУ

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Peyerimhoff A. - Lectures On Summability

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Название: Lectures On Summability

Автор: Peyerimhoff A.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1969

Количество страниц: 111

Добавлена в каталог: 10.09.2008

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

Предметный указатель

$C_{\alpha_{\nu}}$ $(C_{O})$       11
$M_{p}$       16-17 25-27 31 37 44 46 55-57 60-61 63
$RS_{\alpha}$       11
(A, $\lambda$ ) method      69
A* method      88-89
Abel      3
Abel - Dini theorem      12
Abel's limit theorem      24 67
Abel's method      24-26 62 67 70-71 75-77 84
Abelian theorems      67
Agnew      92
Analytic continuation by Borel's method      72 76
Analytic continuation by Euler's method      73 95-96
Analytic continuation by Hausdorff methods      93-96
Analytic continuation, general      71-73
Arithmetical means      see " $M_{p}$ "
Axer's theorem      87
Banach      30 95
Basu      50
Bernstein      53
Bohr      42
Bohr - Hardy theorem      43 45
Borel's method      24-26 62 68 72 75-78 81-82
Borel-star      76
Bosanquet      42 43
Cesaro      2
Cesaro methods, $C_{1}$       3-8 16 25-26 31 36 38 46 55 59 66 74-75 80-81
Cesaro methods, $C_{\alpha}$       8-9 15-17 22 24-25 27 33 35 38 42-43 45 47-48 50 55 66 76 82 96 99-100
Cesaro's theorem      2
Chow      7
Comparison theorems, $C_{\alpha}$ , $C_{\beta}$       15 38 66
Comparison theorems, $C_{\alpha}$ , $E_{p}$       25 77 79
Comparison theorems, $C_{\alpha}$ , $H^{\alpha}$       8 29 47-48 50
Comparison theorems, $C_{\alpha}$ , Abel      25 76 81
Comparison theorems, $C_{\alpha}$ , Borel      76
Comparison theorems, $E_{p}$ , Borel      25
Comparison theorems, $M_{p}$ , $M_{q}$       37
Comparison theorems, $N_{p}$ , $C_{1}$       38
Comparison theorems, $N_{p}$ , $N_{q}$       37-38
Comparison theorems, A*, Hausdorff      89
Comparison theorems, Abel, Borel      76-77 79
Comparison theorems, general      15-16 26 29 36-37 56 98-99
Comparison theorems, Hausdorff, $E_{p}$       25
Comparison theorems, Lambert, Abel      84
Comparison theorems, Riesz      24-26 37 99-100
Completely monotone function      53
Consistency, first theorem of      25
Consistency, second theorem of      37
Consistent      18
Consistent methods      18-19 22 29-30 88 91-92
Convergence factors      39
Convergence generating      13
Convergence preserving      12
Convexity theorem      63-64
Counting function      57
De La Vallee Poussin      84 88
Dedekind      38
Dirichlet series      24
Divided differences      51
du Bois-Reymond      38
Equivalent      15
Euler means $E_{p}$       20 22 25 29 31-32 46 60 62 67-68 72-74 95-96
Exact region of summability      76 92-96
Fejer      4
Frobenius      25
Function of a matrix      51
Gaier      75
Gap-series      73
Gap-Tauberian theorem      74-76
hadamard      84 88
Hadamard's gap theorem      75
Hardy      7 18 42 80
Hardy - Littlewood      75 76 82
Hausdorff      47
Hausdorff means      20-25 28 47 49 88-96
Hausdorff means, order of      25
Hausdorff moment problem      23
High indices theorem      17
Hill      29
Hoelder's method, $H^{2}$       10
Hoelder's method, $H^{k}$       8-9 22 29 47-50 56
inclusion      see "Comparison theorems"
Jurkat      24 70
Karamata      70
Knopp      20 25 47 50
Knopp - Lorentz theorem      13
Knopp - Schnee - (Hausdorff) theorem      8 29 48
Knopp - Schnee - (Hausdorff) theorem, generalized      56

Kuttner      24
Lambert's method      82-84
Landau      7
Limitable      3 15
Littlewood      67 70
Lorentz      57 73
Matrix method      16
Mazur      26 29
Mazur - Orlicz theorem      29
Mean value conditions, $C_{\aplha}$       31 33 35
Mean value conditions, $E_{p}$       32
Mean value conditions, $H^{\aplha}$       48-49
Mean value conditions, $M^{*}_{K}(A)$       34
Mean value conditions, $M_{K}(A)$       31
Mean value conditions, $M_{p}$       31
Mean value conditions, $N_{p}$       35
Mean value conditions, general      31-36 53
Mercerian theorem      50
Mittag-Leffler star      73
Moebius functions      85
Moment function      28
Moment sequence      23 25 89
Muentz approximation theorem      95
Noerlund mean $N_{p}$       17-19 25 28 30 35 37-38 45-46 61 88 91-92 96-99
Noerlund mean $N_{p}$ , generalized      97
normal      14
Okada      73
One-sided      7
Order conditions for limitable sequences, $C_{1}$       4
Order conditions for limitable sequences, $C_{\alpha}$       15
Order conditions for limitable sequences, $E_{p}$       22
Order conditions for limitable sequences, $M_{p}$       17
Order conditions for limitable sequences, general      14 27 32
Order of a Hausdorff method      25
Ostrowski's theorem on over-convergence      75
Perfect      18 26
Perfect methods, $C_{\alpha}$       27
Perfect methods, $H^{\alpha}$       29
Perfect methods, $M_{p}$       27
Perfect methods, $N_{p}$       28
Perfect methods, Euler      29
Perfect methods, general      27-32
Perfect methods, Hausdorff      28
Petersen, G.E.      43
Prime number theorem      88
Regular      12
Riemann's zeta function      84-85 100
Riesz      24 63
Riesz methods, $(R,\lambda,\kappa)$       24-26
Riesz methods, $(R^{*},\lambda,\kappa)$       24 26 99-100
RN      11
Schmidt, R.      7
Schnee      47
schur      50
Schur's theorem      13
Slowly decreasing      6 7 80
Slowly increasing      6
Slowly oscillating      5 6 80
Stirling      3
Summability factors      39
Summability functions, $C_{1}$       59
Summability functions, $E_{p}$       60-62
Summability functions, $M_{p}$       60-61
Summability functions, $N_{p}$       61
Summability functions, Abel      62
Summability functions, Borel      62
Summability functions, general      59
Summable      6 15
Szasz      89 95
Tauber      5 7
Tauberian conditions      7 57 59-63 66-68 71 77 82
Tauberian theorems      see also "Tauberian conditions" "Gap-Tauberian
Tauberian theorems, $C_{1}$       6-7 81
Tauberian theorems, $C_{\alpha}$       66 82
Tauberian theorems, $E_{p}$       67
Tauberian theorems, $M_{p}$       46
Tauberian theorems, $N_{p}$       46
Tauberian theorems, (A, $\lambda$ )      69
Tauberian theorems, Abel      67 69-71 81
Tauberian theorems, Borel      68 82
Tauberian theorems, Lambert      83-84
Toeplitz's theorem      11
Translative      45-46
Triangular      14
Vijayaraghavan      69
Wiener      80
Wiener - Levy theorem      98
Wiener's Tauberian theorems      80

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