St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
86 sonuçtan 1-3 arası sonuçlar
Sayfa 83
... obtain the relations ( Raf , g ) ( f , Rog ) = = a B 1 - 1 พ บ ( Kn ( ã , v ) – Kn ( w , v ) ) , ( KN ( 3 , w ) – KÑ ( v , w ) ) , 1 ( Raf , R39 ) = - ( a − w ) ( ß − v ) - ( KN ( 3 , a ) - KN ( 3 , w ) – KN ( v , α ) + KÑ ( v , w ) ...
... obtain the relations ( Raf , g ) ( f , Rog ) = = a B 1 - 1 พ บ ( Kn ( ã , v ) – Kn ( w , v ) ) , ( KN ( 3 , w ) – KÑ ( v , w ) ) , 1 ( Raf , R39 ) = - ( a − w ) ( ß − v ) - ( KN ( 3 , a ) - KN ( 3 , w ) – KN ( v , α ) + KÑ ( v , w ) ...
Sayfa 101
... obtain that is , whence the result . ( ( S – zI ) u , { ( G + − zI ) −1 — ( G_ − zI ) −1 } h ) μ = 0 , - - ran ( S – žI ) C ran { ( G + − zI ) −1 – ( G_ − zI ) −1 } + , The above lemma implies that ( 7.5 ) If G + 1 dim ran { ( G ...
... obtain that is , whence the result . ( ( S – zI ) u , { ( G + − zI ) −1 — ( G_ − zI ) −1 } h ) μ = 0 , - - ran ( S – žI ) C ran { ( G + − zI ) −1 – ( G_ − zI ) −1 } + , The above lemma implies that ( 7.5 ) If G + 1 dim ran { ( G ...
Sayfa 203
... obtain ( 8.8 ) 1 Ex ( 2no , X1 , t ) dX1 ) . 2π lim sup ess supAAUA2 { b ̄1E ( 2bqo + X ; H ( b ) , Ho ( b ) ) ∞19 1 ∞ dX 2π + [ * du ( t ) = x ( 2n , X1 , t ) } ≤ 0 . -∞ Similarly , ( 8.9 ) lim inf ess infà¤a‚ʊ ^ 2 { b ̄1ɛ ( 2bqo + ...
... obtain ( 8.8 ) 1 Ex ( 2no , X1 , t ) dX1 ) . 2π lim sup ess supAAUA2 { b ̄1E ( 2bqo + X ; H ( b ) , Ho ( b ) ) ∞19 1 ∞ dX 2π + [ * du ( t ) = x ( 2n , X1 , t ) } ≤ 0 . -∞ Similarly , ( 8.9 ) lim inf ess infà¤a‚ʊ ^ 2 { b ̄1ɛ ( 2bqo + ...
İçindekiler
ISOMETRIC EMBEDDINGS OF FINITEDIMENSIONAL pSPACES | 11 |
OVER THE QUATERNIONS | 104 |
1 Introduction | 117 |
Telif Hakkı | |
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analytic approximation assume asymptotic Birman BKN-equation bounded C(zIm coefficients cohomology classes compatible components constant corresponding defined denote diffeomorphism Dirac operator domain edge eigenvalues embedding English transl estimate Euler characteristic exists finite formula geodesic graph graph-manifold harmonic Hilbert space holomorphic implies inequality integral invertible isometric K₁ kernel Lemma length function linear Math matrix matrix-valued function maximal blocks meromorphic monodromy nonzero norm NPC-solution obtain oriented Painlevé equations pair paper polynomial positive potential problem proof of Theorem properties Proposition prove rational refinable function relation representation respect result Riemann-Hilbert Riemann-Hilbert problem Riemannian manifold S₁ satisfies Schrödinger operator Seifert fibered space self-affine selfadjoint selfadjoint operators singular Sobolev Sobolev spaces solution spectrum Subsection subspace supp Suppose symmetric Theorem Theorem 3.1 theory torus vector vertex vertices zero