St. Petersburg Mathematical Journal, 4. cilt,4-6. sayılarAmerican Mathematical Society, 1993 |
Kitabın içinden
84 sonuçtan 1-3 arası sonuçlar
Sayfa 652
... equality is proved . ∞ P £ ( N ) ± = C1 || P £ ( wk ) ± k = 1 It follows from this equality that there is a sequence of functions uk € Pƒ ( wk ) + ( k = 1 , 2 , ... ) such that u = limk - ∞ Uk in L2 ( N ) . Therefore , Ě * u ) \ s ...
... equality is proved . ∞ P £ ( N ) ± = C1 || P £ ( wk ) ± k = 1 It follows from this equality that there is a sequence of functions uk € Pƒ ( wk ) + ( k = 1 , 2 , ... ) such that u = limk - ∞ Uk in L2 ( N ) . Therefore , Ě * u ) \ s ...
Sayfa 704
... equality VL = LV | ; Since Ho V ( Ĩ * − ¿ 0 ) ̃1g3 = V ( Ĩ * — λo ) ̃ ' ( Ĩ * — ¡ ) — ' e ' — - ( Ĩ * — ¿ o ) — ' _ ( Ĩ * −  ; ) — ' ] - L = V λ0 − âj - 1 20 - λj - 1 e ' ;: = - [ V8 - V8 { ] g 20 - λj λο λο - λ ; - - [ ( L * ...
... equality VL = LV | ; Since Ho V ( Ĩ * − ¿ 0 ) ̃1g3 = V ( Ĩ * — λo ) ̃ ' ( Ĩ * — ¡ ) — ' e ' — - ( Ĩ * — ¿ o ) — ' _ ( Ĩ * −  ; ) — ' ] - L = V λ0 − âj - 1 20 - λj - 1 e ' ;: = - [ V8 - V8 { ] g 20 - λj λο λο - λ ; - - [ ( L * ...
Sayfa 719
... equality , = || ƒk , L2 ( F ) || 2 + k − 2 " || ƒ ( " ) , L2 ( T ) || 2 = G ( k ) . Thus , for f = fk the inequality ( 4.8 ) becomes an equality . The theorem is proved . We mention some special cases of Theorem 4.7 . 1. If k = 1 ...
... equality , = || ƒk , L2 ( F ) || 2 + k − 2 " || ƒ ( " ) , L2 ( T ) || 2 = G ( k ) . Thus , for f = fk the inequality ( 4.8 ) becomes an equality . The theorem is proved . We mention some special cases of Theorem 4.7 . 1. If k = 1 ...
İçindekiler
MATHEMATICS | 665 |
150 | 832 |
ABSTRACT Let be an elliptic differential operator of order n2 with constant | 940 |
Telif Hakkı | |
4 diğer bölüm gösterilmiyor
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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