St. Petersburg Mathematical Journal, 14. cilt,1-534. sayfalarAmerican Mathematical Society, 2003 |
Kitabın içinden
73 sonuçtan 1-3 arası sonuçlar
Sayfa 81
... ( consequently , reflexive ) . ( iii ) The strong dual of K∞ ( H ) can be identified with A1 ( H ) with the help of the mapping 4 → ( ❤ ( C ( k ) ) ) k € N⋅ The spaces K∞ ( H ) and △ 1 ( H ) are put in duality via the bilinear form ...
... ( consequently , reflexive ) . ( iii ) The strong dual of K∞ ( H ) can be identified with A1 ( H ) with the help of the mapping 4 → ( ❤ ( C ( k ) ) ) k € N⋅ The spaces K∞ ( H ) and △ 1 ( H ) are put in duality via the bilinear form ...
Sayfa 84
... consequently , from K ( H ) to E. Now we show that к is a left inverse for R. By the upper estimates for IQ , if ƒ Є E , then Am Em > Oz , μ C : | Q ( z , μ ) || f ( μ ) | ≤ C exp ( Hm ( 2 ) + U ( μ ) + Hm ( μ ) – Hn ( μ ) + Hm , ( μ ) ...
... consequently , from K ( H ) to E. Now we show that к is a left inverse for R. By the upper estimates for IQ , if ƒ Є E , then Am Em > Oz , μ C : | Q ( z , μ ) || f ( μ ) | ≤ C exp ( Hm ( 2 ) + U ( μ ) + Hm ( μ ) – Hn ( μ ) + Hm , ( μ ) ...
Sayfa 443
... Consequently , ( 9.17 ) implies ( 9.20 ) . Thus , for any maximal H - i.i . [ a , b ] we have ( 9.20 ) . Since h , g E L ( I ) , the function h * ( t ) H ( t ) g ( t ) is integrable on I. Therefore , the integral in ( 9.4 ) is equal to ...
... Consequently , ( 9.17 ) implies ( 9.20 ) . Thus , for any maximal H - i.i . [ a , b ] we have ( 9.20 ) . Since h , g E L ( I ) , the function h * ( t ) H ( t ) g ( t ) is integrable on I. Therefore , the integral in ( 9.4 ) is equal to ...
İçindekiler
Китаев А В Специальные функции изомонодромного типа ра | 121 |
Набоко С Н Янас Я Критерии полуограниченности в одном | 158 |
Пажитнов А В О замкнутых орбитах градиентных потоков ото | 186 |
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A₁ absolutely continuous algebraic algebraic torus American Mathematical Society analytic functions assume Bergman spaces BMO-regular boundary Cayley ring cellular ring chain complex chain homotopy coefficients computation construction converges convex Corollary corresponding cyclic group defined definition deformation denote domain element English transl equation equivalence estimate exists finite formal groups formula homotopy implies inequality integral intersection number inverse isomorphism lattice Lemma linear Math matrix metric Moreover Morse function nontrivial normal notation obtain orientation orthogonal Painlevé equation paper parameters polynomial problem proof of Theorem properties Proposition prove relation respectively S-ring scheme selfadjoint sequence shade number singular smooth solutions space statement subalgebra Subsection subspace Suppose t₁ theory Toeplitz operators torus transformation vector field zero