Ene V. — Real Functions - Current Topics :: Электронная библиотека попечительского совета мехмата МГУ

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Ene V. — Real Functions - Current Topics

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Название: Real Functions - Current Topics

Автор: Ene V.

Аннотация:

Most books devoted to the theory of the integral have ignored the nonabsolute integrals, despite the fact that the journal literature relating to these has become richer and richer. The aim of this monograph is to fill this gap, to perform a study on the large number of classes of real functions which have been introduced in this context, and to illustrate them with many examples. This book reports on some recent advances in the theory of real functions and can serve as a textbook for a course in the subject, and to stimulate further research in this exciting field.

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Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1995

Количество страниц: 332

Добавлена в каталог: 25.06.2008

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Предметный указатель

$\overline{\mathcal{M}}_{10}(f)$       175
$\overline{\mathcal{M}}_{10}^#(f)$       161
$\overline{\mathcal{M}}_{11}(f)$       175
$\overline{\mathcal{M}}_{11}^#(f)$       161
$\overline{\mathcal{M}}_{12}(f)$       175
$\overline{\mathcal{M}}_{12}^#(f)$       161
$\overline{\mathcal{M}}_{13}(f)$       175
$\overline{\mathcal{M}}_{13}^#(f)$       161
$\overline{\mathcal{M}}_{14}(f)$       175
$\overline{\mathcal{M}}_{15}(f)$       175
$\overline{\mathcal{M}}_{16}(f)$       175
$\overline{\mathcal{W}}^#_1(f)$       186
$\overline{\mathcal{W}}^#_2(f)$       186
$\overline{\mathcal{W}}^#_3(f)$       186
$\overline{\mathcal{W}}_1(f)$       186
$\overline{\mathcal{W}}_2(f)$       186
$\overline{\mathcal{W}}_3(f)$       186
$\overline{\mathcal{Z}}_d$       34
$\overline{\mathcal{Z}}_i$       34
$\Pi([a, b]; \Delta)$       121
$\Pi_p(X; \Delta)$       121
$\sigma f.l.$       4
$\sigma(f; P)$       169 188
$\sigma(P)$       169 188
$\underine{D}^# F$       15
$\underline{AC}$       51
$\underline{AC}(P \wedge Q)$       51
$\underline{AC}(P;Q)$       51
$\underline{AC}*$       54
$\underline{AC}*G$       54
$\underline{AC}G$       51
$\underline{AC}_D$       88
$\underline{AC}_D_#$       88
$\underline{AC}_D_o$       88
$\underline{AC}_n$       93
$\underline{AC}_{\infty}$       93
$\underline{AC}_{\omega}$       93
$\underline{DW}_n$       116
$\underline{DW}_{\infty}$       116
$\underline{DW}_{\omega}$       116
$\underline{D}F$       13
$\underline{d}^i_+(A;x_0)$       9
$\underline{E}_n$       118
$\underline{E}_{\infty}$       118
$\underline{E}_{\omega}$       118
$\underline{F}'$       13
$\underline{I}(b)$       198 209
$\underline{I}_j(b)$       175
$\underline{I}_k(b)$       162
$\underline{J}_j{b)$       166 186
$\underline{L} \infty$       104
$\underline{L} \omega$       104
$\underline{L}$       58
$\underline{L}(P \wedge Q)$       58
$\underline{L}G$       58
$\underline{L}_n$       104
$\underline{L}_{\omega}$       104
$\underline{M}$       84
$\underline{M}*$       82
$\underline{VB}$       41
$\underline{VB}(P \wedge Q)$       41
$\underline{VB}^*$       44
$\underline{VB}_n$       96
$\underline{VB}_{\infty}$       96
$\underline{VB}_{\omega}$       96
$\underline{Y}_D$       89
$\underline{Y}_D^{\circ}$       89
$\underline{Y}_{D^#}$       89
$\underline{\mathcal{B}}$       97
$\underline{\mathcal{B}}_1$       27
$\underline{\mathcal{E}}$       118
$\underline{\mathcal{F}}$       94
$\underline{\mathcal{L}}$       105
$\underline{\mathcal{M}}_j(f)$ , $j = \overline{1, 16}$       175
$\underline{\mathcal{M}}_k^#(f)$ , $k = \overline{1, 13}$       162
$\underline{\mathcal{W}}^#_j(f)$       186
$\underline{\mathcal{W}}_j(f)$       186
$\underline{\mathcal{Z}}_d$       34
$\underline{\mathcal{Z}}_i$       34
${\underline{\mathcal{B}}]$       97
(+)      71
(+)'      145
(-)      71
(-)'      145
(AP)-integral      200
(LSRS)      192
(M)      84
(N)      71
(S)      71
(W) (wrinkled)      131
< LPG > integral      198
< LPG > major function      197
< LPG > minor function      197
< uL >      197
<L>      197 207 210
A(n)      93
a.e.      1
AC      51
AC(P;Q)      51

AC*      54
AC*G      54
Analytic set      9
Approximately continuous      14
Approximately quasi-derivable      127
B(F; X)      1
B(n)      97
bAC*      54
Bilaterally c-dense in themselves      38
Bilaterally dense in themselves      38
Borel function      9
Borel set      8
BRS (bounded Riemann sum)      192
cm      35
Compact components      1 38
Components of a sparse figure      111
Components of P      1
Connected graph      38
Contiguous interval      1
D(P;Q)      47
decreasing*      47
Denjoy Clarkson Property      40
Density property of O'Malley      21
DW*      116
DW*G      116
D[P]      87
Everywhere dense      10
Exact $\mathcal{S}$ -derivative      16
F*(x)      175
f.l.      4
Filtering      17
First category      10
Hereditary property      11
I(P;Q)      47
increasing*      47
increasing* G      47
Indefinete $(\mathcal{V}_i)$ -integral      187
Internal      33
Internal*      35
Intersection conditions, (E.I.C.)      16
Intersection conditions, (E.I.C.[m])      17
Intersection conditions, (I.C.)      16
Iseki's sparse integral      210
L      58
L(P;Q)      58
L*      58
lg      58
Local system      16
Lower internal      33
lower internal*      35
M(P;Q)      47
m(X) the Lebesgue measure      1
M*      82
monotone*      47
n.e.      1
Nowhere dense      10
Path leading to x      124
PG      11
Portion      1
Quasi-derivable      127
Ridder's \beta-integral      200
S(f; P)      169 188
s(y) - Banach indicatrix function      101
SAC      112
SCM      35
sD(P; Q)      47
Second category      10
Semicontinuity      21
SG      71
sI(P;Q)      47
singular      60
sM(P;Q)      47
Sparse figure      111
Sparse figure for P      111
Sparsely continuous      112
Strictly $\mathcal{S}$ -decreasing      16
Strictly $\mathcal{S}$ -increasing      16
strictly increasing*G      47
Strong property      11
Summable      60
SVB      114
Typical continuous function      134
uCM      35
Upper internal      33
upper internal*      35
U[P]      87
V*(F;P)      44
VB      41
VB*      44
VB*G      44
VBG      41
Vitali cover      11
W*      134
Zahorski's classes , , , ,       19
[AC*G]      54
[ACG]      51
[LG]      58
[PG]      11
[VB'G]      44
[VBG]      41

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