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84 sonuçtan 1-3 arası sonuçlar
Sayfa 652
The equality P = ( 12 ) 4 = C U Pz ( k = 1 is proved . It follows from this equality
that there is a sequence of functions Uk E PS ( Wk ) + ( k = 1 , 2 , . . . ) such that u
= limk4 Uk in L2 ( 92 ) . Therefore , ( Ě * u ) \ n = lim ( Ě * ux ) In k - + 00 koo ' in W
} ...
The equality P = ( 12 ) 4 = C U Pz ( k = 1 is proved . It follows from this equality
that there is a sequence of functions Uk E PS ( Wk ) + ( k = 1 , 2 , . . . ) such that u
= limk4 Uk in L2 ( 92 ) . Therefore , ( Ě * u ) \ n = lim ( Ě * ux ) In k - + 00 koo ' in W
} ...
Sayfa 704
... V implements a unitary equivalence between L and the simple part of L . To do
this it suffices to verify the equality VLū = LV : Since V ( T * – 20 ) - 1gi = V ( T * –
20 ) - ' ( Ž * – â ; ) - le ; - y | Ĩ• - Ao ) - ( Ĩ - 1 , 0 - 11 - - - Te ; = in - ī . lv gło – Vg } .
... V implements a unitary equivalence between L and the simple part of L . To do
this it suffices to verify the equality VLū = LV : Since V ( T * – 20 ) - 1gi = V ( T * –
20 ) - ' ( Ž * – â ; ) - le ; - y | Ĩ• - Ao ) - ( Ĩ - 1 , 0 - 11 - - - Te ; = in - ī . lv gło – Vg } .
Sayfa 719
8 ) | f , C ( D ) | < G ( k ) | | | , L2 ( 1 ) | | 2 + k - 20 | | ) , L2 ( 1 ) | 12 ) , where equality
is attained on the function ( t € [ 0 , 1 ] ) too fr ( t ) = 1 + [ 1 + ( 27j / k ) 2nj - ' eila je j
= - oo Proof . We remark first of all that 2nG ( k ) = kF ( k , 0 ) . This follows from ...
8 ) | f , C ( D ) | < G ( k ) | | | , L2 ( 1 ) | | 2 + k - 20 | | ) , L2 ( 1 ) | 12 ) , where equality
is attained on the function ( t € [ 0 , 1 ] ) too fr ( t ) = 1 + [ 1 + ( 27j / k ) 2nj - ' eila je j
= - oo Proof . We remark first of all that 2nG ( k ) = kF ( k , 0 ) . This follows from ...
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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