St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
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35 sonuçtan 1-3 arası sonuçlar
Sayfa 135
... invertible , and the norm of the solution ( I + P [ N ] ) ( − P_ ( N ) ) can be made as small as we need . This proves the existence part of the lemma . X = Suppose T ( A , r ) and ( A , x ) form another pair of functions with the same ...
... invertible , and the norm of the solution ( I + P [ N ] ) ( − P_ ( N ) ) can be made as small as we need . This proves the existence part of the lemma . X = Suppose T ( A , r ) and ( A , x ) form another pair of functions with the same ...
Sayfa 139
... invertible in ( No \ { 0 } ) × Ds ( ro ) , then the the- orem follows immediately from Lemma A.3 ( with ✪ = Ø ) . Suppose that det M ( Noo , x ) = 0 for some 0 o € No \ w . αρ ( Consider the new local coordinates = A - Ao and define ...
... invertible in ( No \ { 0 } ) × Ds ( ro ) , then the the- orem follows immediately from Lemma A.3 ( with ✪ = Ø ) . Suppose that det M ( Noo , x ) = 0 for some 0 o € No \ w . αρ ( Consider the new local coordinates = A - Ao and define ...
Sayfa 228
... invertible and || W " ( 2 ) −1 || ≤ c ( ed2 ) −1 . Since1 , from ( 6.13 ) it follows that W ( 2 ) is invertible with bound ( 6.10 ) . 6.3 . Critical points of . Now , we are ready to prove Theorem 3.4 . The estimates below depend on ...
... invertible and || W " ( 2 ) −1 || ≤ c ( ed2 ) −1 . Since1 , from ( 6.13 ) it follows that W ( 2 ) is invertible with bound ( 6.10 ) . 6.3 . Critical points of . Now , we are ready to prove Theorem 3.4 . The estimates below depend on ...
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