St. Petersburg Mathematical Journal, 18. cilt,511-1027. sayfalarAmerican Mathematical Society, 2007 |
Kitabın içinden
49 sonuçtan 1-3 arası sonuçlar
Sayfa 634
... yields the following . = Corollary 10. Suppose l ≥ 0 and p € [ 1 , + ∞ ] . A cascade algorithm converges in W , if and only if the corresponding symbol m can be factored as in ( 46 ) and Pp Pp ( T ( l + 1 ) , T ' ( l + 1 ) ) < 1 ...
... yields the following . = Corollary 10. Suppose l ≥ 0 and p € [ 1 , + ∞ ] . A cascade algorithm converges in W , if and only if the corresponding symbol m can be factored as in ( 46 ) and Pp Pp ( T ( l + 1 ) , T ' ( l + 1 ) ) < 1 ...
Sayfa 890
... yields ( 8.10 ) and ( 8.11 ) . We introduce the following condition . Condition 8.4 . The solutions v ; of problem ( 5.4 ) with C = e ; satisfy ( 8.16 ) Consider the operator vj € L∞ , j = 1 , ... , m . Â12Ʌb ( D ) ( Âo + ε2I ) ̃1 ( I ...
... yields ( 8.10 ) and ( 8.11 ) . We introduce the following condition . Condition 8.4 . The solutions v ; of problem ( 5.4 ) with C = e ; satisfy ( 8.16 ) Consider the operator vj € L∞ , j = 1 , ... , m . Â12Ʌb ( D ) ( Âo + ε2I ) ̃1 ( I ...
Sayfa 961
... yields a natural transformation a : ix , 1 iy , 1 . Then dia ( B ) ( a ) : = By . ← In what follows we shall need the following axioms . Isomorphism axiom . A morphism ƒ : A → B in C is an isomorphism if and only if dia ( ƒ ) is an ...
... yields a natural transformation a : ix , 1 iy , 1 . Then dia ( B ) ( a ) : = By . ← In what follows we shall need the following axioms . Isomorphism axiom . A morphism ƒ : A → B in C is an isomorphism if and only if dia ( ƒ ) is an ...
İçindekiler
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27 diğer bölüm gösterilmiyor
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Sık kullanılan terimler ve kelime öbekleri
adjacent algebra algorithm apply approximation assume assumptions of Theorem b₁ bounded called closed coefficients commutative complex consider constant constructed contains continuous convergence Corollary corresponding cycle defined definition denote depends domain elements entire equal equation equivalent estimate example exists extension fact factorization field finite formal formula function given graph Hence ideal implies inequality integral invariant isomorphic lattice Lemma Math Mathematical matrix means module multiplicity norm Note obtain operator parameters polynomial positive present problem Proof properties Proposition proved reduces refinable regularity relations Remark representation respectively result ring root satisfies scheme sequence solution space statement Subsection subspace suffices Suppose symbol symmetric Theorem theory twisted vector vertex vertices zero