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67 sonuçtan 1-3 arası sonuçlar
Sayfa 101
Consequently , the following result can be formulated . Theorem 2. If the operator
Am ) = ( A ( m ) +1 ) -1 is compact , then ( m ) 1 Less ( HM ) ) = ( ( m ) , +00 ) . A
sufficient condition for the compactness of Am ) is given by the following relations
...
Consequently , the following result can be formulated . Theorem 2. If the operator
Am ) = ( A ( m ) +1 ) -1 is compact , then ( m ) 1 Less ( HM ) ) = ( ( m ) , +00 ) . A
sufficient condition for the compactness of Am ) is given by the following relations
...
Sayfa 135
... where B ( 0,8 ) denotes the open ball of radius 8 centered at 0. It follows that (
4.4 ) converges uniformly on Ñ as a geometric series ; consequently , F ( y ) is of
class C TM and even analytic , and we can differentiate repeatedly under the sign
...
... where B ( 0,8 ) denotes the open ball of radius 8 centered at 0. It follows that (
4.4 ) converges uniformly on Ñ as a geometric series ; consequently , F ( y ) is of
class C TM and even analytic , and we can differentiate repeatedly under the sign
...
Sayfa 470
By ( 14 ) and ( 17 ) , F / ( z ) = 0 ; consequently , F ( z ) = 4 ( x ) , z = ( 1 , y ) = R1 +
1 . Thus , the function h ( z ) = 4 ( x ) + By2 is a solution of ( 1 ) : ( a – 1 ) ( 18 ) Ah h
, = Aro + 23 ( 2 – a ) = 0 . ก + у But the general solution of equation ( 18 ) is of ...
By ( 14 ) and ( 17 ) , F / ( z ) = 0 ; consequently , F ( z ) = 4 ( x ) , z = ( 1 , y ) = R1 +
1 . Thus , the function h ( z ) = 4 ( x ) + By2 is a solution of ( 1 ) : ( a – 1 ) ( 18 ) Ah h
, = Aro + 23 ( 2 – a ) = 0 . ก + у But the general solution of equation ( 18 ) is of ...
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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
Sık kullanılan terimler ve kelime öbekleri
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