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70 sonuçtan 1-3 arası sonuçlar
Sayfa 853
The relation ( 6 . 13 ) holds with E = 0 for the function 5 = £ ( : ; H , H ) . The
relations ( 3 . 1 ) and ( 3 . 7 ) are valid with the perturbation determinant replaced
by the determinant ( 6 . 16 ) . Recall that the SSF is now normalized according to
...
The relation ( 6 . 13 ) holds with E = 0 for the function 5 = £ ( : ; H , H ) . The
relations ( 3 . 1 ) and ( 3 . 7 ) are valid with the perturbation determinant replaced
by the determinant ( 6 . 16 ) . Recall that the SSF is now normalized according to
...
Sayfa 859
It follows from the elementary relation U * ( t ) Uo ( t ) – 1 = i | U * ( t ) V Uo ( t ) dt
that W _ - W4 = - i ( U * ( r ) VUo ( t ) dt . JR Further , we find from ( 7 . 2 ) and ( 7 .
19 ) that JR ( 8 . 4 ) ( ( S – 1 ) f , 8 ) = ( ( W _ - W - ) 5 , W78 ) = - i ( VVo ( t ) } , U ( 7
) ...
It follows from the elementary relation U * ( t ) Uo ( t ) – 1 = i | U * ( t ) V Uo ( t ) dt
that W _ - W4 = - i ( U * ( r ) VUo ( t ) dt . JR Further , we find from ( 7 . 2 ) and ( 7 .
19 ) that JR ( 8 . 4 ) ( ( S – 1 ) f , 8 ) = ( ( W _ - W - ) 5 , W78 ) = - i ( VVo ( t ) } , U ( 7
) ...
Sayfa 864
4 ) becomes the relation 18 ( k ) + nt \ k - 1 dk < 00 , which refines ( 9 . 2 ) . 3 . In
applications to ... of the Schrödinger operator ) the connection between the SSF
and the SM is usually described by a relation somewhat different from ( 1 . 9 ) .
4 ) becomes the relation 18 ( k ) + nt \ k - 1 dk < 00 , which refines ( 9 . 2 ) . 3 . In
applications to ... of the Schrödinger operator ) the connection between the SSF
and the SM is usually described by a relation somewhat different from ( 1 . 9 ) .
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İçindekiler
HADAMARDS CONJECTURE | 634 |
Necessary facts about Sobolev spaces | 643 |
Elliptic differential inequalities | 655 |
Telif Hakkı | |
5 diğer bölüm gösterilmiyor
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