St. Petersburg Mathematical Journal, 11. cilt,1-542. sayfalarAmerican Mathematical Society, 2000 |
Kitabın içinden
69 sonuçtan 1-3 arası sonuçlar
Sayfa 286
... identity mapping and all constant mappings are Bernstein . It is easy to prove that in dimensions n ≤ 2 every Bernstein mapping is either the identity or constant . A linear stochastic mapping T ( in its quadratic representation ) is ...
... identity mapping and all constant mappings are Bernstein . It is easy to prove that in dimensions n ≤ 2 every Bernstein mapping is either the identity or constant . A linear stochastic mapping T ( in its quadratic representation ) is ...
Sayfa 365
... identity in ( 7.4 ) and using the second we obtain B ( To , R ) = - + 42σk : ε ( uk ) dx In ( 10 . R ) JB ( 20.8 ) B ( xo , R ) σ ̧k : ( ū ̧k © ▽ 2 ) dx + B ( xo , R ) ( Okjj + fk - ( fk ) 10 , R ) 2.uk dx . This identity , combined ...
... identity in ( 7.4 ) and using the second we obtain B ( To , R ) = - + 42σk : ε ( uk ) dx In ( 10 . R ) JB ( 20.8 ) B ( xo , R ) σ ̧k : ( ū ̧k © ▽ 2 ) dx + B ( xo , R ) ( Okjj + fk - ( fk ) 10 , R ) 2.uk dx . This identity , combined ...
Sayfa 470
... Identities of the form ( 4.32 ) will be used in the proof of Theorem 2.3 . Thus , u is a weak solution of the problem ... identity ( 4.9 ) for their limit function ; this is done without reference to the strict monotonicity condition ...
... Identities of the form ( 4.32 ) will be used in the proof of Theorem 2.3 . Thus , u is a weak solution of the problem ... identity ( 4.9 ) for their limit function ; this is done without reference to the strict monotonicity condition ...
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A(Sp A₁ absolutely continuous American Mathematical Society assume assumptions asymptotics b₁ Bernstein algebra bigon boundary bounded c₁ coefficients condition configurations consider constant Corollary corresponding defined definition denote distinguished triangle domain dx dt dz² embedding English transl equation equivalent estimate exists extremal decomposition finite formula function functor G₁ geometrization H¹(k homomorphism homotopy classes idempotents implies inequality integral isomorphism journals K₁ kernel Lemma linear mapping Math MathSciNet matrix metric morphism norm notation obtain operator orthogonal P-category parameters polynomials problem proof of Theorem Proposition proved quadratic differential quadratic forms reduced module relation Riemann surface satisfying selfadjoint semigroup sequence solution space Steklov subalgebra Subsection sufficiently Suppose symmetric Theorem 2.1 theory trajectories u₁ unique variables vector vertex whence