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Sayfa 837
6 ) is the condition , introduced by Krein in ( K2 ) , that the difference between the
resolvents for Ho and H be trace - class : ( 1 . 8 ) Rz - R , ESI , Z Ep ( H ) n P ( H ) .
It is easy to see that ( 1 . 8 ) holds ( or does not hold ) simultaneously for all ...
6 ) is the condition , introduced by Krein in ( K2 ) , that the difference between the
resolvents for Ho and H be trace - class : ( 1 . 8 ) Rz - R , ESI , Z Ep ( H ) n P ( H ) .
It is easy to see that ( 1 . 8 ) holds ( or does not hold ) simultaneously for all ...
Sayfa 852
Finally , & = $ a is uniquely determined by the normalization condition ( 6 . 9 ) ,
which now depends on a . The estimate ( 6 . 8 ) holds under the condition ( 6 . 9 )
. Remark 6 . 3 . Under the conditions of Theorem 6 . 2 the relations ( 3 . 27 ) and ...
Finally , & = $ a is uniquely determined by the normalization condition ( 6 . 9 ) ,
which now depends on a . The estimate ( 6 . 8 ) holds under the condition ( 6 . 9 )
. Remark 6 . 3 . Under the conditions of Theorem 6 . 2 the relations ( 3 . 27 ) and ...
Sayfa 1061
For B ( z ) the matter reduces to verifying the existence of the operator ( 2 . 5 ) ( 1
+ Bo ( a 10 ) Q ) - ' EB ( N ) , a . e . NER . The condition ( 2 . 5 ) can be verified
under each of Conditions 2 . 1 and 2 . 2 . See [ 2 ] , [ 5 ] , and [ Y ] for details on
these ...
For B ( z ) the matter reduces to verifying the existence of the operator ( 2 . 5 ) ( 1
+ Bo ( a 10 ) Q ) - ' EB ( N ) , a . e . NER . The condition ( 2 . 5 ) can be verified
under each of Conditions 2 . 1 and 2 . 2 . See [ 2 ] , [ 5 ] , and [ Y ] for details on
these ...
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İçindekiler
HADAMARDS CONJECTURE | 634 |
Necessary facts about Sobolev spaces | 643 |
Elliptic differential inequalities | 655 |
Telif Hakkı | |
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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