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Sayfa 226
Proof . See ( I ) . Remark . Relations ( B.1 ) , ( B.2 ) , and ( B.4 ) imply immediately
the known result that hu ( A ) = htop ( A ) = log 1 . We turn to some consequences
of Theorem B.1 . We denote by 7 ' ( n ) and ( x ) the number of prime cycles ...
Proof . See ( I ) . Remark . Relations ( B.1 ) , ( B.2 ) , and ( B.4 ) imply immediately
the known result that hu ( A ) = htop ( A ) = log 1 . We turn to some consequences
of Theorem B.1 . We denote by 7 ' ( n ) and ( x ) the number of prime cycles ...
Sayfa 403
Unfortunately , there was a gap in the original proof of Theorem 4.1 ; here we are
going to fill this gap . In order to explain the essence , we outline the main idea of
Pogorelov's proof of Theorem 4.1 . Let r ( u ) , u = ( u ?, ... , u ) , be a ...
Unfortunately , there was a gap in the original proof of Theorem 4.1 ; here we are
going to fill this gap . In order to explain the essence , we outline the main idea of
Pogorelov's proof of Theorem 4.1 . Let r ( u ) , u = ( u ?, ... , u ) , be a ...
Sayfa 431
It is amusing that the invocation of an appropriate integrable Morse function leads
to a much simpler proof of the following remarkable geometric result from ( 12 ] .
Assume that the Grassmannians Gi ( V ) , G2 ( V ) , ... , Gn - 1 ( V ) , where V is ...
It is amusing that the invocation of an appropriate integrable Morse function leads
to a much simpler proof of the following remarkable geometric result from ( 12 ] .
Assume that the Grassmannians Gi ( V ) , G2 ( V ) , ... , Gn - 1 ( V ) , where V is ...
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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 | |
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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