St. Petersburg Mathematical Journal, 4. cilt,4-6. sayılarAmerican Mathematical Society, 1993 |
Kitabın içinden
31 sonuçtan 1-3 arası sonuçlar
Sayfa 1209
... convergence ƒ → ƒ ( 0 ) has been proved in the space C ( [ 8 , T ] × K , L∞ , B ) for any 8 and T in ( 0 , ∞ ) and any compact set K in R. The space L∞ , is defined by ( 6.3 ) . The convergence f → f ( 0 ) in L2 ( [ 0 , ∞ ) , Hs ) ...
... convergence ƒ → ƒ ( 0 ) has been proved in the space C ( [ 8 , T ] × K , L∞ , B ) for any 8 and T in ( 0 , ∞ ) and any compact set K in R. The space L∞ , is defined by ( 6.3 ) . The convergence f → f ( 0 ) in L2 ( [ 0 , ∞ ) , Hs ) ...
Sayfa 1229
... convergence is uniform with respect to 0 for any m . Indeed , B [ x , x9 ] takes one of the values ( 2.15 ) B [ x ... convergence follows from ( 2.12 ) with A : = I and ( C ) of Theorem 1.1 , and in the second it follows from ( C ) and ...
... convergence is uniform with respect to 0 for any m . Indeed , B [ x , x9 ] takes one of the values ( 2.15 ) B [ x ... convergence follows from ( 2.12 ) with A : = I and ( C ) of Theorem 1.1 , and in the second it follows from ( C ) and ...
Sayfa 1237
... converge in L2 ( 0 , л ) . The following fact has also been used : if the convergence qn ( ) → 9∞ ( ) holds in for the kernels 9n ( • ) € % = L2 ( [ 0 , ñ ] × [ 0 , ñ ] ) of the integral operators An : L2 ( 0 , л ) → L1⁄2 ( 0 , π ) ...
... converge in L2 ( 0 , л ) . The following fact has also been used : if the convergence qn ( ) → 9∞ ( ) holds in for the kernels 9n ( • ) € % = L2 ( [ 0 , ñ ] × [ 0 , ñ ] ) of the integral operators An : L2 ( 0 , л ) → L1⁄2 ( 0 , π ) ...
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