St. Petersburg Mathematical Journal, 15. cilt,469-972. sayfalarAmerican Mathematical Society, 2004 |
Kitabın içinden
63 sonuçtan 1-3 arası sonuçlar
Sayfa 551
... proof of Theorem 2.1 . From Lemma 2.3 and the properties of the family V in HP ( -h , 0 ) for m < p < m + 1 ( see above ) , we conclude that the defect of V in H3 ( -h , 0 ) is equal to [ sm + 1/2 ] . The subspace H is determined by ...
... proof of Theorem 2.1 . From Lemma 2.3 and the properties of the family V in HP ( -h , 0 ) for m < p < m + 1 ( see above ) , we conclude that the defect of V in H3 ( -h , 0 ) is equal to [ sm + 1/2 ] . The subspace H is determined by ...
Sayfa 552
Theorem 2.2 . Under condition b ) of Theorem 2.1 , if u ( t ) E Na≥o Va , then u ( t ) = 0 . Proof . This theorem can be proved in the same way as Theorem 2.1 ( b ) on the complete- ness of exponential solutions . We outline the ...
Theorem 2.2 . Under condition b ) of Theorem 2.1 , if u ( t ) E Na≥o Va , then u ( t ) = 0 . Proof . This theorem can be proved in the same way as Theorem 2.1 ( b ) on the complete- ness of exponential solutions . We outline the ...
Sayfa 757
... Theorem 2.1 for R " , H " ( R ) , and H2 " ( C ) were obtained in [ 1 , 12 , 13 ] . The distributions Ui are constructed explicitly in §7 ; the construction is based on the Paley - Wiener theorem for the spherical transformation on H4n ...
... Theorem 2.1 for R " , H " ( R ) , and H2 " ( C ) were obtained in [ 1 , 12 , 13 ] . The distributions Ui are constructed explicitly in §7 ; the construction is based on the Paley - Wiener theorem for the spherical transformation on H4n ...
İçindekiler
S 1061002204008180 | 470 |
3 Linearized differential operators | 480 |
5 Moduli spaces for the solutions of quasilinear elliptic | 488 |
Telif Hakkı | |
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A₁ algebra American Mathematical Society assume asymptotics cellular ring coefficients commutative compact consider constant convergence Corollary corresponding curve cyclic defined Definition denote differential operator domain eigenvalues element elliptic elliptic gamma function English transl equation equivalent estimate exists finite formula Hankel Hankel operators Hecke operators Hilbert space homogenization hypergeometric hypergeometric series ideal implies inequality integral isomorphism Jordan model lattice Lemma linear manifold mapping Math matrix multiple norm notation obtain orthogonal paper parameters perestroika Petersburg polynomial problem proof of Theorem Proposition prove quasiaffinity quasilinear relation representation respectively right-hand side satisfies selfadjoint sequence Sobolev spaces solution solvable subgroup Subsection subspaces Suppose symplectic symplectic group Theorem theory theta theta-series transformation vector zero