St. Petersburg Mathematical Journal, 16. cilt,437-1077. sayfalarAmerican Mathematical Society, 2005 |
Kitabın içinden
85 sonuçtan 1-3 arası sonuçlar
Sayfa 512
... vectors is bounded from below by zero . This implies the following statement . Theorem 3.2 . Equality occurs in 3.1 ( 1 ) if and only if S is a spherical 3 - design and S does not contain any pair of orthogonal vectors ; equality occurs ...
... vectors is bounded from below by zero . This implies the following statement . Theorem 3.2 . Equality occurs in 3.1 ( 1 ) if and only if S is a spherical 3 - design and S does not contain any pair of orthogonal vectors ; equality occurs ...
Sayfa 513
... vectors e x , x ≤ T ‡ , constitute a basis for a copy of the root lattice Ar - 1 scaled to minimum 4 . ( 2 ) Otherwise , the lattice L generated by the vectors e - x , x Є T + , and x + y , x , y € T + x . y = -1 , is a copy of a rank ...
... vectors e x , x ≤ T ‡ , constitute a basis for a copy of the root lattice Ar - 1 scaled to minimum 4 . ( 2 ) Otherwise , the lattice L generated by the vectors e - x , x Є T + , and x + y , x , y € T + x . y = -1 , is a copy of a rank ...
Sayfa 527
... vectors in its dual A * ( we associate with e the section of A by e ) . Under various assumptions about the norm of ... vectors with strictly negative mutual scalar products . Then | T | ≤1 + dim V. Proof . If the vectors in T are ...
... vectors in its dual A * ( we associate with e the section of A by e ) . Under various assumptions about the norm of ... vectors with strictly negative mutual scalar products . Then | T | ≤1 + dim V. Proof . If the vectors in T are ...
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 | |
15 diğer bölüm gösterilmiyor
Diğer baskılar - Tümünü görüntüle
Sık kullanılan terimler ve kelime öbekleri
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