St. Petersburg Mathematical Journal, 15. cilt,469-972. sayfalarAmerican Mathematical Society, 2004 |
Kitabın içinden
18 sonuçtan 1-3 arası sonuçlar
Sayfa 693
... potential p ( x ) are T - periodic and such that ( 1.2 ) ( 1.3 ) ~ -1 ğ + ğ - 1 € L∞ , PEL , ( ) , where 2s > d for d > 2 and s 1 for d = 1 . The precise definition of the selfadjoint operator H in G = L2 ( Rd ) is given in terms of ...
... potential p ( x ) are T - periodic and such that ( 1.2 ) ( 1.3 ) ~ -1 ğ + ğ - 1 € L∞ , PEL , ( ) , where 2s > d for d > 2 and s 1 for d = 1 . The precise definition of the selfadjoint operator H in G = L2 ( Rd ) is given in terms of ...
Sayfa 695
... potential , convergence in ( 1.18 ) §2 . THE TWO - DIMENSIONAL PERIODIC PAULI OPERATOR 2.1 . Definition and factorization of the Pauli operator . The role of the magnetic potential will be played by a T - periodic R2 - valued function A ...
... potential , convergence in ( 1.18 ) §2 . THE TWO - DIMENSIONAL PERIODIC PAULI OPERATOR 2.1 . Definition and factorization of the Pauli operator . The role of the magnetic potential will be played by a T - periodic R2 - valued function A ...
Sayfa 713
... potential is not too large , the answer is in the positive ; otherwise serious complications may occur even for d = 2. The corresponding analysis was performed recently in [ Sh ] . REFERENCES [ BaPa ] N. S. Bakhvalov and G. P. Panasenko ...
... potential is not too large , the answer is in the positive ; otherwise serious complications may occur even for d = 2. The corresponding analysis was performed recently in [ Sh ] . REFERENCES [ BaPa ] N. S. Bakhvalov and G. P. Panasenko ...
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