St. Petersburg Mathematical Journal, 4. cilt,4-6. sayılarAmerican Mathematical Society, 1993 |
Kitabın içinden
82 sonuçtan 1-3 arası sonuçlar
Sayfa 640
... prove that these definitions are unambiguous . –Ž1⁄2 −K −K * Let cos ( K ) ≥0 . Then the relations ( u ) e - K C -K * imply that Ž ( u ) = Вx ( −Žx ( u ) ) = 0 . - Therefore , the sums ( 4.1 ) and ( 5.1 ) are formed from finitely ...
... prove that these definitions are unambiguous . –Ž1⁄2 −K −K * Let cos ( K ) ≥0 . Then the relations ( u ) e - K C -K * imply that Ž ( u ) = Вx ( −Žx ( u ) ) = 0 . - Therefore , the sums ( 4.1 ) and ( 5.1 ) are formed from finitely ...
Sayfa 651
... proved . Let u € P ( ) + . We prove that Ě ✶ue W ( ) . Take open sets w1 , w2 , ... such that w1 C Clw1 C @ 2 C Cl 2 C ... CN and N = Ux = 1 wk • We prove that ∞ Pƒ ( N ) + = ClŬ Pg ( wk ) + , k = 1 where Cl denotes the closure in the ...
... proved . Let u € P ( ) + . We prove that Ě ✶ue W ( ) . Take open sets w1 , w2 , ... such that w1 C Clw1 C @ 2 C Cl 2 C ... CN and N = Ux = 1 wk • We prove that ∞ Pƒ ( N ) + = ClŬ Pg ( wk ) + , k = 1 where Cl denotes the closure in the ...
Sayfa 652
... proved continuity of the operator Ě * : Pƒ ( N ) 1 → Ŵ1⁄2 ( N ) . The rest of the proof is now technically simpler . Let U Є W1⁄2 ( N ) . We prove that ŽU € PÅ ( Q ) 1 . In Coo ° ( N ) take a sequence of test functions 91 , 92 ...
... proved continuity of the operator Ě * : Pƒ ( N ) 1 → Ŵ1⁄2 ( N ) . The rest of the proof is now technically simpler . Let U Є W1⁄2 ( N ) . We prove that ŽU € PÅ ( Q ) 1 . In Coo ° ( N ) take a sequence of test functions 91 , 92 ...
İçindekiler
MATHEMATICS | 665 |
150 | 832 |
ABSTRACT Let be an elliptic differential operator of order n2 with constant | 940 |
Telif Hakkı | |
4 diğer bölüm gösterilmiyor
Diğer baskılar - Tümünü görüntüle
Sık kullanılan terimler ve kelime öbekleri
a₁ analytic assertion assume asymptotic Blaschke product boundary bounded C₁ cone consider const constant construction convex corresponding covector cubes D₁ decomposition defined definition denote diffeomorphisms differential domain eigenvalues English transl equality equation equivalent estimate exists finite follows function f H₁ hence Hilbert space Hölder holds inequality inner function integral irreducible lattice Lemma Leningrad Lie algebra linear M₁ mapping Mathematical Mathematics Subject Classification maximum principle morphism multiplicity nonlinear norm obtained operator pair perturbation polynomial problem proof of Theorem properties Proposition proved representation Riemann-Roch theorem S₁ satisfying the conditions scattering matrix scattering theory selfadjoint singular smooth solution Soviet Math space spectral spectrum Steklov subspace sufficiently Suppose t₁ Theorem 1.1 theory trace formula trace-class unique unitary V₁ zero