Kitabın içinden
54 sonuçtan 1-3 arası sonuçlar
Sayfa 316
Proposition 3.3 . Let T1 E Sp ( X3 , X2 ) , T2 E Sp ( X1 , X3 ) , T ( a ) = alı ( a ) T2 (
a ) . Then TE Sp ( X1 , X2 ) and , for every e > 0 , ( 3.10 ) Ap ( T ) < Ap ( ETi ) + Ap (
e - T2 ) . Proof . Inequality ( 1.3 ) with T , = s - T1 ( s- ? ) , s = 8-1 , S2 = € 8 , 8 > 0 ...
Proposition 3.3 . Let T1 E Sp ( X3 , X2 ) , T2 E Sp ( X1 , X3 ) , T ( a ) = alı ( a ) T2 (
a ) . Then TE Sp ( X1 , X2 ) and , for every e > 0 , ( 3.10 ) Ap ( T ) < Ap ( ETi ) + Ap (
e - T2 ) . Proof . Inequality ( 1.3 ) with T , = s - T1 ( s- ? ) , s = 8-1 , S2 = € 8 , 8 > 0 ...
Sayfa 321
In inequality ( 1.2 ) , we put Ti = G_ ( A ) , T2 = -axi ( A_ ( a ) ) G_ ( A ) , $ ı = 2 = 2 -
' s ( s > 0 , a € Y ) . ... In order to estimate the second summand on the right , we
use inequality ( 1.3 ) with Ti = axi ( A_ ( a ) ) , T2 = G- ( A ) , sı = 1 , 82 = 2-1s ( s , a
> ...
In inequality ( 1.2 ) , we put Ti = G_ ( A ) , T2 = -axi ( A_ ( a ) ) G_ ( A ) , $ ı = 2 = 2 -
' s ( s > 0 , a € Y ) . ... In order to estimate the second summand on the right , we
use inequality ( 1.3 ) with Ti = axi ( A_ ( a ) ) , T2 = G- ( A ) , sı = 1 , 82 = 2-1s ( s , a
> ...
Sayfa 476
For 0 < a < 2 , ( 31 ) may be derived from the Hardy inequality ( see [ 6 ] ) 1 * ---- (
** sie , as ) ay spaj 6 . * » - * pwdy :) applied to the function YER + \ ( Y2 , Y1 ) , f (
x ) = { , ( 2.1 ) – ayn - 1 , VE ( Y , Y ) . This will result in the inequality Y1 1 Yı ( 32 )
...
For 0 < a < 2 , ( 31 ) may be derived from the Hardy inequality ( see [ 6 ] ) 1 * ---- (
** sie , as ) ay spaj 6 . * » - * pwdy :) applied to the function YER + \ ( Y2 , Y1 ) , f (
x ) = { , ( 2.1 ) – ayn - 1 , VE ( Y , Y ) . This will result in the inequality Y1 1 Yı ( 32 )
...
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İçindekiler
REPRESENTATION OF A FORM | 17 |
10 The automorphism groups of discriminant forms | 59 |
12 A general formula for the weight of representations | 65 |
Telif Hakkı | |
5 diğer bölüm gösterilmiyor
Diğer baskılar - Tümünü görüntüle
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apply arbitrary assume assumptions asymptotics bases basis belongs boundary bounded classical coefficients coincides compact complex condition Consequently consider constant construction contains continuous convex corresponding curve decomposition defined definition denote depends described determined differential dimension direct discrete domain eigenfunctions eigenvalues elements English equal equation estimate example exists factor field finite fixed formula function given gives graph implies independent inequality integral introduce invariant lattice Lemma limit linear manifolds Math Mathematical matrix measure method Moreover observe obtain operator orbits particular periodic perturbation Phys positive potential present problem Proof properties Proposition prove quantum relation Remark representations respect restriction result satisfies similar smooth solutions space spectral spectrum statement Subsection sufficiently surface symbol Theorem theory transformation transl unique values vector