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Sayfa 685
If QE D ( K ) , then K an be covered by a family consisting of at most No : = 2 ( 20
– 1 ) subcubes of K . Further , a point lying on a k - dimensional face of K can be
covered by at most 2k cubes , and a point lying on a k - dimensional face of Q can
...
If QE D ( K ) , then K an be covered by a family consisting of at most No : = 2 ( 20
– 1 ) subcubes of K . Further , a point lying on a k - dimensional face of K can be
covered by at most 2k cubes , and a point lying on a k - dimensional face of Q can
...
Sayfa 841
The case y < 0 is reduced to the exchange of the roles of Ho and H . Further , ( 3 .
1 ) , ( 3 . 2 ) , ( 3 . 7 ) , and ( 3 . 8 ) are again obtained , but ( 3 . 5 ) is - 1 < Im g ( z )
< 0 . From this and ( 3 . 5 ) and ( 3 . 7 ) we get ( 3 . 9 ) 05 ( sgn y ) & ( a ) < 1 , a ...
The case y < 0 is reduced to the exchange of the roles of Ho and H . Further , ( 3 .
1 ) , ( 3 . 2 ) , ( 3 . 7 ) , and ( 3 . 8 ) are again obtained , but ( 3 . 5 ) is - 1 < Im g ( z )
< 0 . From this and ( 3 . 5 ) and ( 3 . 7 ) we get ( 3 . 9 ) 05 ( sgn y ) & ( a ) < 1 , a ...
Sayfa 842
17 ) shows that & is continuous in Li ( R ) with respect to a change of V in the
norm of Si : Further , it follows from ( 3 . 17 ) that & is a continuous function of V .
In particular , $ ( 2 ) > 0 for W 2 . 0 , and $ ( 2 ) SD - for VSO ( moreover , this is ...
17 ) shows that & is continuous in Li ( R ) with respect to a change of V in the
norm of Si : Further , it follows from ( 3 . 17 ) that & is a continuous function of V .
In particular , $ ( 2 ) > 0 for W 2 . 0 , and $ ( 2 ) SD - for VSO ( moreover , this is ...
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İçindekiler
HADAMARDS CONJECTURE | 634 |
Necessary facts about Sobolev spaces | 643 |
Elliptic differential inequalities | 655 |
Telif Hakkı | |
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Diğer baskılar - Tümünü görüntüle
Sık kullanılan terimler ve kelime öbekleri
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