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63 sonuçtan 1-3 arası sonuçlar
Sayfa 86
JER 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 : = { 0
ER : 0p ( H , ) nY # 0 } . If Y is thin , then X is also thin . Proof of Statement 1 . For &
= ( 0 ...
JER 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 : = { 0
ER : 0p ( H , ) nY # 0 } . If Y is thin , then X is also thin . Proof of Statement 1 . For &
= ( 0 ...
Sayfa 183
Basic definitions , notation , and statement of the results ( Quantum ergodicity :
the von Neumann definition and recent notions . Formulation of the quantum
mixing properties . Statement of the main results ) 82 . Hyperbolic automorphisms
of ...
Basic definitions , notation , and statement of the results ( Quantum ergodicity :
the von Neumann definition and recent notions . Formulation of the quantum
mixing properties . Statement of the main results ) 82 . Hyperbolic automorphisms
of ...
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 | | f | | L2 ( B ) = a ( f ) > 2 | | $ | | L2 ( E ) . O $ 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 | | f | | L2 ( B ) = a ( f ) > 2 | | $ | | L2 ( E ) . O $ 4 .
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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 basis belongs boundary bounded classical closed coincides compact complex condition Consequently consider constant construction contains continuous convex corresponding curve defined definition denote depends described determined differential dimension direct discrete domain eigenfunctions eigenvalues elements equal equation equivalent estimate example exists expression factor field finite fixed formula function given gives implies independent inequality integral introduce invariant isospectral lattice Lemma limit manifolds Math Mathematical matrix measure method Moreover observe obtain operator orbits particular periodic perturbation Phys positive potential present problem Proof properties Proposition prove quadratic quantum relation Remark representations respect satisfies similar smooth solution space spectral spectrum statement Subsection sufficiently surface symbol Theorem theory transformation unique values vector