St. Petersburg Mathematical Journal, 16. cilt,437-1077. sayfalarAmerican Mathematical Society, 2005 |
Kitabın içinden
80 sonuçtan 1-3 arası sonuçlar
Sayfa 521
... hence N ( e ) = 7 ; then N ( e e ; ) = 4 for all i by > - ( * ) , which implies ee ; = 3 , whence N ( e - e ; - ej ) = 1 + 2e ; · ej , and finally e ; · e ; = 1 , − because N ( ee ; − ej ) = 3 by ( ** ) . This shows that the Gram ...
... hence N ( e ) = 7 ; then N ( e e ; ) = 4 for all i by > - ( * ) , which implies ee ; = 3 , whence N ( e - e ; - ej ) = 1 + 2e ; · ej , and finally e ; · e ; = 1 , − because N ( ee ; − ej ) = 3 by ( ** ) . This shows that the Gram ...
Sayfa 524
... hence d > 489 > 69.28 ... ; similarly , if min A * > , we have > ( 4d ) 1/9 , ~ ( A * ) ≥ ¦ · d1 / 9 , hence d≤ ( 3 ) 99 < 71.02 .... Thus , we have just proved that d must be equal to 70 or 71. Since these integers are square free ...
... hence d > 489 > 69.28 ... ; similarly , if min A * > , we have > ( 4d ) 1/9 , ~ ( A * ) ≥ ¦ · d1 / 9 , hence d≤ ( 3 ) 99 < 71.02 .... Thus , we have just proved that d must be equal to 70 or 71. Since these integers are square free ...
Sayfa 525
... hence d ≤ 28 , and in fact d < 28 , because A is not similar to Es . Calculating ( even ) , we obtain the bound 4 ( 4d ) -1/8 < 2 , i.e. , d > 26. Hence we have 8 < h < 16 . Let ( 1 , ... , Eg ) be the canonical basis for Z8 , set H ...
... hence d ≤ 28 , and in fact d < 28 , because A is not similar to Es . Calculating ( even ) , we obtain the bound 4 ( 4d ) -1/8 < 2 , i.e. , d > 26. Hence we have 8 < h < 16 . Let ( 1 , ... , Eg ) be the canonical basis for Z8 , set H ...
İçindekiler
S Buslaev M V Buslaeva and A Grigis Adiabatic asymptotics | 437 |
Volchkov A local tworadii theorem on the sphere | 453 |
A Kokotov and B Plamenevskii On the asymptotics of solutions | 477 |
Telif Hakkı | |
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Abelian group absolutely continuous Aleksandrov algebra American Mathematical Society angle assume asymptotics boundary values bounded braid Chevalley groups coefficients commutative comparison triangle condition cone consider constant convergence convex Corollary corresponding curvature curve defined denote differential dimension domain eigenvalues element English transl equation estimate exists finite formula function geodesic homomorphism hyperplane section implies inequality integral lattices isometry lattice of minimum Lemma linear Math Mathematics Subject Classification matrix metric minimal vectors Moreover nonzero norm obtain operator orthogonal P₁ parabolic subgroups PETERSBURG points polynomial problem proof of Theorem Proposition prove r₁ refinable functions regular triangulation respectively root subgroups S₁ satisfies selfadjoint simplicial solutions space spectrum statement subharmonic functions Subsection subspace summands Suppose t₁ twist number unipotent unique W₁ zero