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88 sonuçtan 1-3 arası sonuçlar
Sayfa 745
Consider the product { En x En } of the standard { rn } -adic sequence { en } and a
nonstandard dyadic sequence { En } . Clearly , this yields a nonstandard { 2rn } -
adic sequence in Xx X since it has a nonstandard subsequence , which ...
Consider the product { En x En } of the standard { rn } -adic sequence { en } and a
nonstandard dyadic sequence { En } . Clearly , this yields a nonstandard { 2rn } -
adic sequence in Xx X since it has a nonstandard subsequence , which ...
Sayfa 1141
Consider the functions v ( + ) = exp ( Ex ) – 1 , where n = MV- !. It is clear that v +
... For an arbitrary function v e Cl + y / 2 ( 0 ) , where y is the constant from
Theorem 3.1 , we consider the following family of problems : t { W ! ? ! - a ' ( x ; t ; v
; Dv ) ...
Consider the functions v ( + ) = exp ( Ex ) – 1 , where n = MV- !. It is clear that v +
... For an arbitrary function v e Cl + y / 2 ( 0 ) , where y is the constant from
Theorem 3.1 , we consider the following family of problems : t { W ! ? ! - a ' ( x ; t ; v
; Dv ) ...
Sayfa 1175
Proof . We consider the series ( 14 ) g ( 2 , 3 ) = Žanan ( z , z ) , n = 1 ; where an
runs over the set of all the potentials from Lemma 7 for all eigenvalues an of A
corresponding to the eigenfunctions that lie in the subspace Xol2 ) ; the an are
some ...
Proof . We consider the series ( 14 ) g ( 2 , 3 ) = Žanan ( z , z ) , n = 1 ; where an
runs over the set of all the potentials from Lemma 7 for all eigenvalues an of A
corresponding to the eigenfunctions that lie in the subspace Xol2 ) ; the an are
some ...
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İçindekiler
THE THEORY OF DECREASING SEQUENCES | 706 |
1 Main definitions and terminology | 712 |
Theorem on lacunary isomorphism | 719 |
Telif Hakkı | |
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action algebra analytic apply approximation arbitrary assume belongs boundary bounded called closed coefficients coincides compact complete condition cone Consequently consider consists constant constructed contains continuous Corollary corresponding defined definition denote depends determined differential domain elements English transl equal equation equivalent estimate example exists finite fixed follows formula function given homogeneous ideal identity implies independent inequality integral introduce invariant irreducible isomorphic Lemma limit linear mapping Math Mathematical means measure metric Moreover neighborhood obtain operator parabolic particular partition plane polynomials positive problem projection Proof properties Proposition proved relation Remark representation respect satisfying sequence similar smooth solution space spectrum standard statement Subsection sufficiently Theorem theory transformation valid values variables vector weight zero