St. Petersburg Mathematical Journal, 10. cilt,579-1070. sayfalarAmerican Mathematical Society, 1999 |
Kitabın içinden
67 sonuçtan 1-3 arası sonuçlar
Sayfa 591
... introduce an electric potential VЄ L2 ( N ) by the formula ( 4.5 ) Ỹ ( x ) = | Ã ( x ) | 2 – | A ( x ) | 2 + B ( x ) , where B is defined as in ( 3.2 ) . At the first stage , we apply ( 4.2 ) to the operators ( 4.6 ) M ( y ) = M ( y , A ...
... introduce an electric potential VЄ L2 ( N ) by the formula ( 4.5 ) Ỹ ( x ) = | Ã ( x ) | 2 – | A ( x ) | 2 + B ( x ) , where B is defined as in ( 3.2 ) . At the first stage , we apply ( 4.2 ) to the operators ( 4.6 ) M ( y ) = M ( y , A ...
Sayfa 775
... introduce yet another Hilbert space T + ( A ) coinciding with the linear set W1 / 2 ( A ) ( N® N. ) = W1 / 2 ( A ) To ( A ) and equipped with the following scalar product : ( w1 / 2 ( X ) l , W'1 / 2 ( X ) g ) s . ( A ) = ( 1,9 ) 50 ( 1 ) ...
... introduce yet another Hilbert space T + ( A ) coinciding with the linear set W1 / 2 ( A ) ( N® N. ) = W1 / 2 ( A ) To ( A ) and equipped with the following scalar product : ( w1 / 2 ( X ) l , W'1 / 2 ( X ) g ) s . ( A ) = ( 1,9 ) 50 ( 1 ) ...
Sayfa 802
... introduce the quantity It suffices to prove that A = lim So ( z ) . Г + Э2-0 || ( To + So – A ) || 19 , ( T + ) ≤ c || o || 2 ; 9 , ( T ) - - To this end , we represent Tσ ( z ) + So ( z ) – A , z = x + iк + ( x ) Є T + , in the form ...
... introduce the quantity It suffices to prove that A = lim So ( z ) . Г + Э2-0 || ( To + So – A ) || 19 , ( T + ) ≤ c || o || 2 ; 9 , ( T ) - - To this end , we represent Tσ ( z ) + So ( z ) – A , z = x + iк + ( x ) Є T + , in the form ...
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American Mathematical Society analytic assume assumptions B₁ Banach algebra Beurling-Sobolev algebra boundary c₁ compact conformal mapping construct continuous convergence Corollary corresponding defined definition denote domain embedding English transl equation equivalent esk₁ estimate exists finite formula Fourier geodesic Hence Hilbert space homeomorphic homotopy implies inequality integral interpolation interval intrinsic metric inverse IP(Z kernel Lemma linear manifold mapping class groups Math Mathematics Subject Classification metric metric spaces mult N₁ nonselfadjoint norm obtain operator-valued function Petersburg polyhedron polynomial problem Proposition proved pure point r.i. space rank one perturbations relation respect scalar selfadjoint selfadjoint operator sequence singular spectrum solution spectral function spline subgroup Subsection subspace sufficiently symmetric operator theory unitary unitary operator upper bounded curvature vector field whence zero