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71 sonuçtan 1-3 arası sonuçlar
Sayfa 86
VER Assertion ( 3 ) is a direct consequence of the following two statements .
Statement 1. DnE is thin . Statement 2. Let Y be a subset of R , and let X : = {
V E R : 0p ( H , ) NY # 0 } . If Y is thin , then X is also thin . Proof of Statement 1.
For & = ( 0 ...
VER Assertion ( 3 ) is a direct consequence of the following two statements .
Statement 1. DnE is thin . Statement 2. Let Y be a subset of R , and let X : = {
V E R : 0p ( H , ) NY # 0 } . If Y is thin , then X is also thin . Proof of Statement 1.
For & = ( 0 ...
Sayfa 252
Statement ( iv ) of the proposition follows from the compactness of the operator K ,
and the last two statements follow from ( iii ) . Also , we note that ( v ) can be
checked by direct calculation : - E || | || L2 ( K ) = a ( f ) > 2 || $ || L2 ( R ) . $ 4 .
Statement ( iv ) of the proposition follows from the compactness of the operator K ,
and the last two statements follow from ( iii ) . Also , we note that ( v ) can be
checked by direct calculation : - E || | || L2 ( K ) = a ( f ) > 2 || $ || L2 ( R ) . $ 4 .
Sayfa 467
Now we prove statement 2. For some R > 0 , we put 4 ( x ) = ( R – 1012 ) , 4 ( x , y
) = yo 4 ( x ) , XER " , y > 0 . 1 Setting D = { ( x , y ) E R * + 1 : 1x \ < R , 0 < yi < y <
y2 } ( where 0 < y1 < y2 ) , we apply the Green formula ( 8 ) : S , ul ( w ) dr dy ...
Now we prove statement 2. For some R > 0 , we put 4 ( x ) = ( R – 1012 ) , 4 ( x , y
) = yo 4 ( x ) , XER " , y > 0 . 1 Setting D = { ( x , y ) E R * + 1 : 1x \ < R , 0 < yi < y <
y2 } ( where 0 < y1 < y2 ) , we apply the Green formula ( 8 ) : S , ul ( w ) dr dy ...
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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