St. Petersburg Mathematical Journal, 16. cilt,437-1077. sayfalarAmerican Mathematical Society, 2005 |
Kitabın içinden
79 sonuçtan 1-3 arası sonuçlar
Sayfa 461
... statement is valid also for f V , ( BR ) . To prove this lemma , it suffices to notice that SO ( n ) = { 7 € SO ( n + 1 ) : t0 = and to use formulas ( 3.3 ) and ( 3.4 ) . o } , Lemma 6.2 . Suppose s Є N , ƒ € V ( BR ) , and f ( 01 ...
... statement is valid also for f V , ( BR ) . To prove this lemma , it suffices to notice that SO ( n ) = { 7 € SO ( n + 1 ) : t0 = and to use formulas ( 3.3 ) and ( 3.4 ) . o } , Lemma 6.2 . Suppose s Є N , ƒ € V ( BR ) , and f ( 01 ...
Sayfa 465
... statement b ) of Lemma 6.3 , we obtain fk , 1 ( On ) Y ( 0 ) = 0 in BR Consequently , f = 0 in BR . Next , suppose that statement 1 ) is valid for a radius R ≤ ( m + 1 ) r , where m is a fixed positive integer . We prove statement 1 ...
... statement b ) of Lemma 6.3 , we obtain fk , 1 ( On ) Y ( 0 ) = 0 in BR Consequently , f = 0 in BR . Next , suppose that statement 1 ) is valid for a radius R ≤ ( m + 1 ) r , where m is a fixed positive integer . We prove statement 1 ...
Sayfa 467
... statement 3 ) for r = = π / 2 . Proof of statement 3b ) . Suppose ε E ( 0 , r ) , u E C [ 0 , r ] , and supp u = [ re , r - ε / 2 ] . The proof of statement 3a ) shows that if 0 ≤ 0≤r , then u ( 0 ) = ΣvEN ( r ) v Vv , 1 ( 0 ) , where ...
... statement 3 ) for r = = π / 2 . Proof of statement 3b ) . Suppose ε E ( 0 , r ) , u E C [ 0 , r ] , and supp u = [ re , r - ε / 2 ] . The proof of statement 3a ) shows that if 0 ≤ 0≤r , then u ( 0 ) = ΣvEN ( r ) v Vv , 1 ( 0 ) , where ...
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