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75 sonuçtan 1-3 arası sonuçlar
Sayfa 722
... negative real semi - axis . The value of log in the last formula is fixed to be real
for negative x . The following asymptotic expansion for x + op is valid uniformly in
a sector do < arg x < 21 - do , where do e ] 0 , 2 / 2 [ is an arbitrary fixed number ...
... negative real semi - axis . The value of log in the last formula is fixed to be real
for negative x . The following asymptotic expansion for x + op is valid uniformly in
a sector do < arg x < 21 - do , where do e ] 0 , 2 / 2 [ is an arbitrary fixed number ...
Sayfa 952
3 , in the part 5o = 1° ; its derivation , which uses Carleson contours , remains in
force for an arbitrary function se H2 , and not only for feng , as assumed in
Theorem 1 . 3 . However , ( 1 . 1 ) is certainly not necessary for Haf to be in Aa .
Indeed ...
3 , in the part 5o = 1° ; its derivation , which uses Carleson contours , remains in
force for an arbitrary function se H2 , and not only for feng , as assumed in
Theorem 1 . 3 . However , ( 1 . 1 ) is certainly not necessary for Haf to be in Aa .
Indeed ...
Sayfa 1003
21 ) , Vx is an arbitrary rigid motion , o is the solution of ( 1 . 5 ) , and u the
solution of ( 1 . 4 ) ; we have also used the notation for average values + f dx : =B
( x0 , R ) B ( x0 , R ) Thus , we have proved the following assertion . Lemma 4 . 1 .
21 ) , Vx is an arbitrary rigid motion , o is the solution of ( 1 . 5 ) , and u the
solution of ( 1 . 4 ) ; we have also used the notation for average values + f dx : =B
( x0 , R ) B ( x0 , R ) Thus , we have proved the following assertion . Lemma 4 . 1 .
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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