St. Petersburg Mathematical Journal, 4. cilt,4-6. sayılarAmerican Mathematical Society, 1993 |
Kitabın içinden
25 sonuçtan 1-3 arası sonuçlar
Sayfa 1075
... asymptotics for 29 is obviously the same as for λ ( N ) , where is the operator ( 5.1 ) , ( 6.7 ) Ω = -2πΠ - π ( Π + Π " ) . = It follows from the limiting absorption principle for H and from ( 2.23 ) that Sn ( ÑÌ ) o ( n - P ) . In ...
... asymptotics for 29 is obviously the same as for λ ( N ) , where is the operator ( 5.1 ) , ( 6.7 ) Ω = -2πΠ - π ( Π + Π " ) . = It follows from the limiting absorption principle for H and from ( 2.23 ) that Sn ( ÑÌ ) o ( n - P ) . In ...
Sayfa 1076
... asymptotics were found in [ 27 ] – [ 29 ] , where rigorous proofs are given . §7 . ASYMPTOTICS OF THE SPECTRUM OF THE MODIFIED SCATTERING MATRIX 1. In connection with the Schrödinger operator it is sometimes more convenient to consider ...
... asymptotics were found in [ 27 ] – [ 29 ] , where rigorous proofs are given . §7 . ASYMPTOTICS OF THE SPECTRUM OF THE MODIFIED SCATTERING MATRIX 1. In connection with the Schrödinger operator it is sometimes more convenient to consider ...
Sayfa 1079
... asymptotics of the total scattering cross - section for the Schrödinger equation , Ann . Inst . H. Poincaré Phys . Théor . 44 ( 1986 ) , 397-425 . 28 . The quasiclassical asymptotics of the scattering cross - section for the Schrödinger ...
... asymptotics of the total scattering cross - section for the Schrödinger equation , Ann . Inst . H. Poincaré Phys . Théor . 44 ( 1986 ) , 397-425 . 28 . The quasiclassical asymptotics of the scattering cross - section for the Schrödinger ...
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HADAMARDS CONJECTURE | 634 |
1993 No 4 | 921 |
AND ESTIMATES OF THE GREEN FUNCTION | 1054 |
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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