St. Petersburg Mathematical Journal, 10. cilt,579-1070. sayfalarAmerican Mathematical Society, 1999 |
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84 sonuçtan 1-3 arası sonuçlar
Sayfa 621
0.7 . Theorem . For each maximal face f of a polyhedron X ERK , the surface Clf with intrinsic metric df induced by the metric d of X belongs to the class RÊ . The proof of Theorem 0.5 is based on the next theorem . K 0.8 . Limit Metric ...
0.7 . Theorem . For each maximal face f of a polyhedron X ERK , the surface Clf with intrinsic metric df induced by the metric d of X belongs to the class RÊ . The proof of Theorem 0.5 is based on the next theorem . K 0.8 . Limit Metric ...
Sayfa 640
... THEOREM AND THE APPROXIMATION THEOREM K 4.A. The Characterization Theorem ( Theorem 0.6 ) can be deduced from Theorems 0.5 , 0.8 , and 0.11 as follows . It is clear that the polyhedron X € R is obtained by gluing from its own closed ...
... THEOREM AND THE APPROXIMATION THEOREM K 4.A. The Characterization Theorem ( Theorem 0.6 ) can be deduced from Theorems 0.5 , 0.8 , and 0.11 as follows . It is clear that the polyhedron X € R is obtained by gluing from its own closed ...
Sayfa 1065
Theorem 6.2 . ( i ) Under the assumptions of Theorem 6.1 ( i ) , suppose that d≤3 . Let H = H ± ( Ho , √V ) . Then , for any λo < inf ( σ ( H + ) Uo ( Ho ) ) relation ( 2.10 ) is fulfilled with k = 1 ; thus , the SSF for the pair H + ...
Theorem 6.2 . ( i ) Under the assumptions of Theorem 6.1 ( i ) , suppose that d≤3 . Let H = H ± ( Ho , √V ) . Then , for any λo < inf ( σ ( H + ) Uo ( Ho ) ) relation ( 2.10 ) is fulfilled with k = 1 ; thus , the SSF for the pair H + ...
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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