St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
75 sonuçtan 1-3 arası sonuçlar
Sayfa 34
Proof . Statement 1 follows from ( 2.3 ) . We check statement 2. Let w1 Є Hy , so that the form ( Dw1 + Vw1 , w2 ) 0 is continuous in w2 with respect to the L2 - norm . Then , assuming for simplicity that is real , we have ( 2.5 ) ( D ...
Proof . Statement 1 follows from ( 2.3 ) . We check statement 2. Let w1 Є Hy , so that the form ( Dw1 + Vw1 , w2 ) 0 is continuous in w2 with respect to the L2 - norm . Then , assuming for simplicity that is real , we have ( 2.5 ) ( D ...
Sayfa 131
... statement 2 of Theorem 4 ) , we arrive at the asymptotic relation ( iii ) . To obtain ( ii ) , we note that for every fixed x we have 入 det o ( A , x ) 1 , X → ∞ , and ( ii ) follows via the Liouville theorem . Finally , to prove the ...
... statement 2 of Theorem 4 ) , we arrive at the asymptotic relation ( iii ) . To obtain ( ii ) , we note that for every fixed x we have 入 det o ( A , x ) 1 , X → ∞ , and ( ii ) follows via the Liouville theorem . Finally , to prove the ...
Sayfa 222
Note that statement ( 5.3 ) is equivalent to the statement in Theorem 3.3 . The ( ← ) part of statement ( 5.3 ) is trivial : if Ɛ ( Vzye│z = z , ) = 0 , then ƏzÞe ( 2 ) | z = ze = ( ƏzUzye , Ɛ ( Uzye ) ) | z = ze = ( ƏzVzye│z = z ...
Note that statement ( 5.3 ) is equivalent to the statement in Theorem 3.3 . The ( ← ) part of statement ( 5.3 ) is trivial : if Ɛ ( Vzye│z = z , ) = 0 , then ƏzÞe ( 2 ) | z = ze = ( ƏzUzye , Ɛ ( Uzye ) ) | z = ze = ( ƏzVzye│z = z ...
İçindekiler
ISOMETRIC EMBEDDINGS OF FINITEDIMENSIONAL SPACES | 17 |
CONTENTS | 27 |
1 Introduction | 117 |
Telif Hakkı | |
5 diğer bölüm gösterilmiyor
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analytic apply approximation assume asymptotic belongs BKN-equation block boundary bounded called closed coefficients compatible complete components condition Consequently consider constant construction contains continuous corresponding covering defined definition denote differential domain edge eigenvalues embedding equal equation estimate example exists extension fact fibers field finite fixed formula function given graph harmonic implies inequality integral invertible Lemma linear manifold Math Mathematical matrix monodromy Moreover norm obtain operator oriented pair particular periodic polynomial positive potential present problem proof properties Proposition prove rational relation Remark representation respect result satisfies selfadjoint separation singular smooth solution space spectral spectrum statement Subsection sufficiently Suppose surface symmetric Theorem theory transl true unique values vector vertex vertices zero