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85 sonuçtan 1-3 arası sonuçlar
Sayfa 171
We require that the auxiliary function ( 3.12 ) $ ( 11 , x ) = ( 2 ( V.219 , x + ) + d % )
n ( x1 ) + ( V274 , x1 ) satisfy an ... Assume that the function b ( x1 ) satisfies the
conditions ( 3.18 ) 16 ( x1 ) | > c | x1 | o , c > 0 , | D * b ( x1 ) | < C \ x110-1 « !, IKI ...
We require that the auxiliary function ( 3.12 ) $ ( 11 , x ) = ( 2 ( V.219 , x + ) + d % )
n ( x1 ) + ( V274 , x1 ) satisfy an ... Assume that the function b ( x1 ) satisfies the
conditions ( 3.18 ) 16 ( x1 ) | > c | x1 | o , c > 0 , | D * b ( x1 ) | < C \ x110-1 « !, IKI ...
Sayfa 180
By ( 5.7 ) , the function ( 5.11 ) satisfies equation ( 5.6 ) , where ( 5.12 ) 1 ( x1 ) = -
a - P + A ( at ) a - 27 , 27 > p . Assumption 5.1 and estimates ( 4.8 ) imply that the
function ( 5.12 ) satisfies ( 3.8 ) . Thus , we arrive at the following lemma . Lemma
...
By ( 5.7 ) , the function ( 5.11 ) satisfies equation ( 5.6 ) , where ( 5.12 ) 1 ( x1 ) = -
a - P + A ( at ) a - 27 , 27 > p . Assumption 5.1 and estimates ( 4.8 ) imply that the
function ( 5.12 ) satisfies ( 3.8 ) . Thus , we arrive at the following lemma . Lemma
...
Sayfa 250
Compared with Theorem 3.1 , the following statement describes such
eigenvalues and eigenfunctions in more detail . Proposition 3.9 . Let u be a
solution of ( 3.33 ) . Then ( i ) U is an entire solution of the Harper equation ; ( ii ) 4
satisfies the ...
Compared with Theorem 3.1 , the following statement describes such
eigenvalues and eigenfunctions in more detail . Proposition 3.9 . Let u be a
solution of ( 3.33 ) . Then ( i ) U is an entire solution of the Harper equation ; ( ii ) 4
satisfies the ...
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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
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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