St. Petersburg Mathematical Journal, 4. cilt,4-6. sayılarAmerican Mathematical Society, 1993 |
Kitabın içinden
29 sonuçtan 1-3 arası sonuçlar
Sayfa 671
... inverse theorem will be given in the same place . The remaining assertion will be proved in a subsequent paper . We note that the methods proposed here , in combination with methods in [ 2 ] ( see [ 17 ] for details ) , can also be ...
... inverse theorem will be given in the same place . The remaining assertion will be proved in a subsequent paper . We note that the methods proposed here , in combination with methods in [ 2 ] ( see [ 17 ] for details ) , can also be ...
Sayfa 728
... inverse operator to the operator Lo defined by ( 4.5 ) . The homogeneous equation has two solutions 1 ∞ 1 ( 4.9 ) 901 ( x ) = 6 + 12x + 12x2 Σ 902 ( x ) = - ( x - k ) 2 ' k = 1 It is not difficult to establish the following properties ...
... inverse operator to the operator Lo defined by ( 4.5 ) . The homogeneous equation has two solutions 1 ∞ 1 ( 4.9 ) 901 ( x ) = 6 + 12x + 12x2 Σ 902 ( x ) = - ( x - k ) 2 ' k = 1 It is not difficult to establish the following properties ...
Sayfa 742
... inverse to L. In fact , we will construct an approximate one . Let 1 and 2 be approximate solutions to the homogeneous equation L = 0 , defined by ( 6.19 ) , namely : әй ( 7.8 ) 91 = Әх = jk k ! Στα 4 ( x ) , Әй 92 = k = 0 ay Estimates ...
... inverse to L. In fact , we will construct an approximate one . Let 1 and 2 be approximate solutions to the homogeneous equation L = 0 , defined by ( 6.19 ) , namely : әй ( 7.8 ) 91 = Әх = jk k ! Στα 4 ( x ) , Әй 92 = k = 0 ay Estimates ...
İçindekiler
HADAMARDS CONJECTURE | 634 |
1993 No 4 | 921 |
AND ESTIMATES OF THE GREEN FUNCTION | 1054 |
Telif Hakkı | |
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According algebra analytic apply assertion assume asymptotic boundary bounded closed complete condition cone connected Consequently consider const constant construction contains continuous corresponding cubes defined definition denote depend derivatives described determined differential domain eigenvalues element English transl equality equation equivalent estimate example exists extension fact field finite fixed follows formula function given gives hence holds implies inequality integral introduce Lemma limit linear mapping Math Mathematical means measure multiplicity norm obtained Obviously operator pair particular perturbation positive possible 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 vector zero