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23 sonuçtan 1-3 arası sonuçlar
Sayfa 722
In fact , the proofs of all these theorems are carried out in a similar way , but the
first is the simplest . Theorem 1 . There exists a unique analytic injective map T - :
C + C2 such that ( 1 ) r _ conjugates the shift x H x + 1 in C with the restriction of ...
In fact , the proofs of all these theorems are carried out in a similar way , but the
first is the simplest . Theorem 1 . There exists a unique analytic injective map T - :
C + C2 such that ( 1 ) r _ conjugates the shift x H x + 1 in C with the restriction of ...
Sayfa 731
... depend on the choice of N . Then we have , taking into account ( 4 . 22 ) , ( 4 .
28 ) Fr ( x , n ) = 0 ( 212 ) + 0 G ( x2N + 4 and ( 4 . 29 ) Fr x , n ) = 0 ( n ) + 0 ( ) as x
tends to infinity . The following steps are similar to those in proving Propositions ...
... depend on the choice of N . Then we have , taking into account ( 4 . 22 ) , ( 4 .
28 ) Fr ( x , n ) = 0 ( 212 ) + 0 G ( x2N + 4 and ( 4 . 29 ) Fr x , n ) = 0 ( n ) + 0 ( ) as x
tends to infinity . The following steps are similar to those in proving Propositions ...
Sayfa 1173
7 ) is satisfied at every point . The proof of ( 2 . 8 ) is similar . • We give here one
more consequence of ( 2 . 5 ) which is necessary for a study of the functionals JD
, in the cones KD . Lemma 2 . 4 . Suppose that u , w e Kim and ( u – W ) xx > 0 .
7 ) is satisfied at every point . The proof of ( 2 . 8 ) is similar . • We give here one
more consequence of ( 2 . 5 ) which is necessary for a study of the functionals JD
, in the cones KD . Lemma 2 . 4 . Suppose that u , w e Kim and ( u – W ) xx > 0 .
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İçindekiler
HADAMARDS CONJECTURE | 634 |
Necessary facts about Sobolev spaces | 643 |
Elliptic differential inequalities | 655 |
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According algebra analytic apply assertion assume asymptotic Banach space boundary bounded called closed complete condition cone connected Consequently consider const constant construction contains continuous corresponding cubes defined definition denote depend derivatives described determined differential direct domain eigenvalues element English transl equality equation equivalent estimate example exists extension fact field finite fixed follows formula function Further given gives hence holds implies inequality integral introduce lattice Lemma limit linear mapping Math Mathematical matrix means measure multiplicity norm obtained Obviously operator pair particular perturbation polynomial positive possible present principle problem Proof properties Proposition proved reduced relation remains Remark representation respect satisfies scattering side smooth solution space spectral spectrum subspace sufficiently Suppose Theorem theory unique valid vector zero