St. Petersburg Mathematical Journal, 6. cilt,4-6. sayılarAmerican Mathematical Society, 1995 |
Kitabın içinden
79 sonuçtan 1-3 arası sonuçlar
Sayfa 754
... estimate . O ᄆ Now we present a corollary concerning a uniform law of large numbers . Corollary . Let Fe , h be the class of functions on the state space of a Bernoulli scheme such that the ɛ - entropy of the distribution of functions ...
... estimate . O ᄆ Now we present a corollary concerning a uniform law of large numbers . Corollary . Let Fe , h be the class of functions on the state space of a Bernoulli scheme such that the ɛ - entropy of the distribution of functions ...
Sayfa 831
... estimate , after m steps we conclude that w ( z ) ≤ { ( h + ɛ ) ( 1 − ( 1 − 8 ) m ) + a ( 1 − 8 ) " } y for all z = ( x , y ) € Rn + 1 . If m is sufficiently large , then the right - hand side of this inequality is less than ( h + ...
... estimate , after m steps we conclude that w ( z ) ≤ { ( h + ɛ ) ( 1 − ( 1 − 8 ) m ) + a ( 1 − 8 ) " } y for all z = ( x , y ) € Rn + 1 . If m is sufficiently large , then the right - hand side of this inequality is less than ( h + ...
Sayfa 1140
... estimate for M1 in terms of the quantities mentioned in the statement of the theorem . Now the first estimate in ( 3.2 ) follows from ( 3.16 ) , and the third one from ( 3.10 ) . In order to establish the second estimate in ( 3.2 ) , we ...
... estimate for M1 in terms of the quantities mentioned in the statement of the theorem . Now the first estimate in ( 3.2 ) follows from ( 3.16 ) , and the third one from ( 3.10 ) . In order to establish the second estimate in ( 3.2 ) , we ...
İçindekiler
THE THEORY OF DECREASING SEQUENCES | 706 |
1 Main definitions and terminology | 712 |
4 Universal models | 719 |
Telif Hakkı | |
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algebra analytic arbitrary assume asymptotic automorphic boundary conditions boundary value C*-algebras c₁ Cauchy problem coefficients composition series cone consider constant convex Corollary corresponding decreasing sequence defined definition denote differential Dirac operator domain dyadic sequence eigenvalues elements English transl entropy ergodic estimate exists finite follows formula function groupoid h₁ Hilbert space Hölder homogeneous implies inequality integral invariant irreducible representations isomorphic Jacobi K3 surfaces kernel lattice Lemma linear mapping Mathematical matrix measurable partitions metric modular forms moduli moduli spaces Moreover neighborhood obtain operator orbit orthogonal orthogonal group parabolic equations polynomials proof of Theorem Proposition proved quantum relation respect satisfying selfadjoint semigroup smooth solution solvability Soviet Math space spectrum Subsection subspace theory Toeplitz operators topology vector y₁ zero