St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
85 sonuçtan 1-3 arası sonuçlar
Sayfa 64
... implies 3 ) . The fact that 3 ) implies 1 ) is trivial ( simply take z = w ) . It remains to show that 1 ) implies 2 ) . First , we note that the function N is analytic in the open upper half - plane C + . Indeed , the function S ( z ) ...
... implies 3 ) . The fact that 3 ) implies 1 ) is trivial ( simply take z = w ) . It remains to show that 1 ) implies 2 ) . First , we note that the function N is analytic in the open upper half - plane C + . Indeed , the function S ( z ) ...
Sayfa 159
... implies the existence of a linear combination 9N.k E LM ( ) such that ( 5.11 ) supp gNk C supp gk ( C supp fok ) ; ( 5.12 ) Mk ≤ CNv ( gk ) P , ( 5.13 ) - || 9k - 9N , k || q ≤ CN ̄nv ( gk ) . Now we set ΣΥΝΑ fN = 9N , k k Since the ...
... implies the existence of a linear combination 9N.k E LM ( ) such that ( 5.11 ) supp gNk C supp gk ( C supp fok ) ; ( 5.12 ) Mk ≤ CNv ( gk ) P , ( 5.13 ) - || 9k - 9N , k || q ≤ CN ̄nv ( gk ) . Now we set ΣΥΝΑ fN = 9N , k k Since the ...
Sayfa 220
... implies part a ) with D = 28 - 1k : ( 4.7 ) -1 || Wzyc || H2 ≤28 - 1KE . To prove part b ) , we proceed in a standard way . Define F : R2 x ( Ran ( T2y ) H2 ) → ( Ran ( 2 ) ( 4.8 ) L2 ) by F1 ( z , w ) = F ( Vzy + w ) , πzy ΖΥ where ...
... implies part a ) with D = 28 - 1k : ( 4.7 ) -1 || Wzyc || H2 ≤28 - 1KE . To prove part b ) , we proceed in a standard way . Define F : R2 x ( Ran ( T2y ) H2 ) → ( Ran ( 2 ) ( 4.8 ) L2 ) by F1 ( z , w ) = F ( Vzy + w ) , πzy ΖΥ where ...
İçindekiler
ISOMETRIC EMBEDDINGS OF FINITEDIMENSIONAL SPACES | 17 |
CONTENTS | 27 |
1 Introduction | 117 |
Telif Hakkı | |
5 diğer bölüm gösterilmiyor
Diğer baskılar - Tümünü görüntüle
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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