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7 sonuçtan 1-3 arası sonuçlar
Sayfa 116
Because of the separability of the Stark operator K ( F ) = - ( 1/2 ) 4 - 1 / [ x ] + Fri in
L2 ( R3 ) , in parabolic coordinates the resonances Em .. ( F ) are given implicitly
by the following equation in E , F : fim.ng ( u ) = e - in / 36 , where , for m = 0,1,2 ...
Because of the separability of the Stark operator K ( F ) = - ( 1/2 ) 4 - 1 / [ x ] + Fri in
L2 ( R3 ) , in parabolic coordinates the resonances Em .. ( F ) are given implicitly
by the following equation in E , F : fim.ng ( u ) = e - in / 36 , where , for m = 0,1,2 ...
Sayfa 166
We prove relation ( 1.7 ) under the condition that the asymptotics ( 1.8 ) is valid for
o < 1/2 . If ( 1.8 ) is fulfilled , then the solution ( 1.7 ) “ lives ” in a parabolic region
where ( 21 ] ~ t , \ x41 ~ to . This ensures the orthogonality of the subspaces H ...
We prove relation ( 1.7 ) under the condition that the asymptotics ( 1.8 ) is valid for
o < 1/2 . If ( 1.8 ) is fulfilled , then the solution ( 1.7 ) “ lives ” in a parabolic region
where ( 21 ] ~ t , \ x41 ~ to . This ensures the orthogonality of the subspaces H ...
Sayfa 479
E. M. Landis , Second order equations of elliptic and parabolic type , “ Nauka ” ,
Moscow , 1971. ( Russian ) ST . PETERSBURG STATE UNIVERSITY ,
DEPARTMENT OF MATHEMATICS AND MECHANICS , 198904 , ST .
PETERSBURG ...
E. M. Landis , Second order equations of elliptic and parabolic type , “ Nauka ” ,
Moscow , 1971. ( Russian ) ST . PETERSBURG STATE UNIVERSITY ,
DEPARTMENT OF MATHEMATICS AND MECHANICS , 198904 , ST .
PETERSBURG ...
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İçindekiler
REPRESENTATION OF A FORM | 17 |
10 The automorphism groups of discriminant forms | 59 |
12 A general formula for the weight of representations | 65 |
Telif Hakkı | |
5 diğer bölüm gösterilmiyor
Diğer baskılar - Tümünü görüntüle
Sık kullanılan terimler ve kelime öbekleri
apply arbitrary assume assumptions asymptotics bases basis belongs boundary bounded classical coefficients coincides compact complex condition Consequently consider constant construction contains continuous convex corresponding curve decomposition defined definition denote depends described determined differential dimension direct discrete domain eigenfunctions eigenvalues elements English equal equation estimate example exists factor field finite fixed formula function given gives graph implies independent inequality integral introduce invariant lattice Lemma limit linear manifolds Math Mathematical matrix measure method Moreover observe obtain operator orbits particular periodic perturbation Phys positive potential present problem Proof properties Proposition prove quantum relation Remark representations respect restriction result satisfies similar smooth solutions space spectral spectrum statement Subsection sufficiently surface symbol Theorem theory transformation transl unique values vector