St. Petersburg Mathematical Journal, 15. cilt,469-972. sayfalarAmerican Mathematical Society, 2004 |
Kitabın içinden
83 sonuçtan 1-3 arası sonuçlar
Sayfa 536
... theorem ( see [ 1 , Theorem 3.5 on page 196 ] ) asserts that if R is a commutative ring and dim ( Max ( R ) ) = d , then sr ( R ) ≤ d +1 . We mention a few immediate consequences of this theorem : • sr ( R ) = 1 if R is semilocal ...
... theorem ( see [ 1 , Theorem 3.5 on page 196 ] ) asserts that if R is a commutative ring and dim ( Max ( R ) ) = d , then sr ( R ) ≤ d +1 . We mention a few immediate consequences of this theorem : • sr ( R ) = 1 if R is semilocal ...
Sayfa 676
... theorems follow equally easily from the results of Chapter 3 with the help of the scale transformation . We give the statements . Theorem 2.3 . Under the assumptions of Theorem 3.2.7 , let Аɛ ( g , f ) = A ( gε , fε ) and Aɛ ( go , ƒ ) ...
... theorems follow equally easily from the results of Chapter 3 with the help of the scale transformation . We give the statements . Theorem 2.3 . Under the assumptions of Theorem 3.2.7 , let Аɛ ( g , f ) = A ( gε , fε ) and Aɛ ( go , ƒ ) ...
Sayfa 695
... Theorem 4.2.8 . Theorem 1.6 . Under the assumptions of Theorem 1.5 , we have || ( w © ) −1 ( H2 ( ỹ , w ) + 1 ) −1 − ( Ĥ ( g ° ) + I ) ̄1w || ¬B1 ≤ Ce13 , 0 ≤ s < 1 , 0 < ɛ ≤ 1 . Next , Theorem 4.2.9 ( with Q = 1 ) implies the ...
... Theorem 4.2.8 . Theorem 1.6 . Under the assumptions of Theorem 1.5 , we have || ( w © ) −1 ( H2 ( ỹ , w ) + 1 ) −1 − ( Ĥ ( g ° ) + I ) ̄1w || ¬B1 ≤ Ce13 , 0 ≤ s < 1 , 0 < ɛ ≤ 1 . Next , Theorem 4.2.9 ( with Q = 1 ) implies the ...
İçindekiler
S 1061002204008180 | 470 |
3 Linearized differential operators | 480 |
5 Moduli spaces for the solutions of quasilinear elliptic | 488 |
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A₁ algebra American Mathematical Society assume asymptotics cellular ring coefficients commutative compact consider constant convergence Corollary corresponding curve cyclic defined Definition denote differential operator domain eigenvalues element elliptic elliptic gamma function English transl equation equivalent estimate exists finite formula Hankel Hankel operators Hecke operators Hilbert space homogenization hypergeometric hypergeometric series ideal implies inequality integral isomorphism Jordan model lattice Lemma linear manifold mapping Math matrix multiple norm notation obtain orthogonal paper parameters perestroika Petersburg polynomial problem proof of Theorem Proposition prove quasiaffinity quasilinear relation representation respectively right-hand side satisfies selfadjoint sequence Sobolev spaces solution solvable subgroup Subsection subspaces Suppose symplectic symplectic group Theorem theory theta theta-series transformation vector zero