St. Petersburg Mathematical Journal, 15. cilt,469-972. sayfalarAmerican Mathematical Society, 2004 |
Kitabın içinden
44 sonuçtan 1-3 arası sonuçlar
Sayfa 480
... independent of the choice of a family ut satisfying ( 3.1 ) . Relation ( 3.2 ) can be understood as follows . For each x Є M , the vector A. ( u ) v ( x ) is the value at t = 0 of the covariant derivative of the vector field Aut ( x ) ...
... independent of the choice of a family ut satisfying ( 3.1 ) . Relation ( 3.2 ) can be understood as follows . For each x Є M , the vector A. ( u ) v ( x ) is the value at t = 0 of the covariant derivative of the vector field Aut ( x ) ...
Sayfa 512
... independent of ε Є ( 0,1 ] . Combining this with ( 2.3 ) , ( 2.12 ) , and ( 2.13 ) , we arrive at the following statement . Proposition 2.2 . We have ( 2.15 ) ε || S , ( ε ) — [ 40 ] ( A + ε2x2I ) −1 [ 40 ] || ≤ C , 0 < ɛ ≤ 1 . §3 ...
... independent of ε Є ( 0,1 ] . Combining this with ( 2.3 ) , ( 2.12 ) , and ( 2.13 ) , we arrive at the following statement . Proposition 2.2 . We have ( 2.15 ) ε || S , ( ε ) — [ 40 ] ( A + ε2x2I ) −1 [ 40 ] || ≤ C , 0 < ɛ ≤ 1 . §3 ...
Sayfa 664
... independent of k = te . Observe the identity √1h ̄1BC dx = = C. This implies that Ker B { 0 } , whence rank B = m . Now , let cЄ and C = b ( 0 ) c . Then ( see ( 1.1.7 ) - ( 1.1.10 ) ) v plays the role of ( c ) and R ( 0 ) c = B ( b ...
... independent of k = te . Observe the identity √1h ̄1BC dx = = C. This implies that Ker B { 0 } , whence rank B = m . Now , let cЄ and C = b ( 0 ) c . Then ( see ( 1.1.7 ) - ( 1.1.10 ) ) v plays the role of ( c ) and R ( 0 ) c = B ( b ...
İçindekiler
S 1061002204008180 | 470 |
3 Linearized differential operators | 480 |
5 Moduli spaces for the solutions of quasilinear elliptic | 488 |
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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