St. Petersburg Mathematical Journal, 10. cilt,579-1070. sayfalarAmerican Mathematical Society, 1999 |
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30 sonuçtan 1-3 arası sonuçlar
Sayfa 637
... direction space , TX Cr . There is a natural map log : UTX defined on U = B , ( x ) C X for 0 < r < r ( x ) , log , ( x ' ) = ( v , | xx ' ) , where ve is the direction of the geodesic segment rx ' at x . We have Lip ( log ) ≤ 1 + o ...
... direction space , TX Cr . There is a natural map log : UTX defined on U = B , ( x ) C X for 0 < r < r ( x ) , log , ( x ' ) = ( v , | xx ' ) , where ve is the direction of the geodesic segment rx ' at x . We have Lip ( log ) ≤ 1 + o ...
Sayfa 641
... direction ve Σx , and ve is singular . Proof . Suppose the contrary . Then , as e ⇒ x ' → x , the directions of xx ' accumulate to a subset AC Er that contains a regular direction v § , where έ is an edge of Σx . By Lemma 4.1 , for ...
... direction ve Σx , and ve is singular . Proof . Suppose the contrary . Then , as e ⇒ x ' → x , the directions of xx ' accumulate to a subset AC Er that contains a regular direction v § , where έ is an edge of Σx . By Lemma 4.1 , for ...
Sayfa 643
... directions xxm Σr converge to a direction v . Let O be the angle between v and the singular direction of Σ , nearest to v and different from v . For m≥ 1 we put Am = 2 min { 1 , tan 0 } / xxml . Then for the ball B1 ( Tm ) C Am X we ...
... directions xxm Σr converge to a direction v . Let O be the angle between v and the singular direction of Σ , nearest to v and different from v . For m≥ 1 we put Am = 2 min { 1 , tan 0 } / xxml . Then for the ball B1 ( Tm ) C Am X we ...
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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