St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
86 sonuçtan 1-3 arası sonuçlar
Sayfa 101
... Proof of Theorem 7.4 . We fix a point zo € C \ R and set a = zo in the arguments in the proof of Theorem 1.1 . The inclusion ( 7.4 ) and the hypotheses of the theorem imply that ran { ( G + − z。I ) −1 — ( G_ — ≈0I ) −1 } = H → ran ...
... Proof of Theorem 7.4 . We fix a point zo € C \ R and set a = zo in the arguments in the proof of Theorem 1.1 . The inclusion ( 7.4 ) and the hypotheses of the theorem imply that ran { ( G + − z。I ) −1 — ( G_ — ≈0I ) −1 } = H → ran ...
Sayfa 200
... proof of Corollary 7.2 . §8 . SSF ASYMPTOTICS OF ORDER b : PROOF OF THEOREM 2.3 In this section we use the above results and the notation ( 3.18 ) , ( 3.20 ) , ( 4.10 ) , and ( 7.1 ) to prove Theorem 2.3 . Lemma 8.1 . For each q € Z + ...
... proof of Corollary 7.2 . §8 . SSF ASYMPTOTICS OF ORDER b : PROOF OF THEOREM 2.3 In this section we use the above results and the notation ( 3.18 ) , ( 3.20 ) , ( 4.10 ) , and ( 7.1 ) to prove Theorem 2.3 . Lemma 8.1 . For each q € Z + ...
Sayfa 229
... proof of Proposition 2.1 ; see §8 ) imply that Weff , e has a unique critical point zo Є BR2 ( ze , C ) and zo ze = O ( 2 ) . - To show that zo E Nes , we use exactly the same arguments as those used in part 1 ) for the proof of the ...
... proof of Proposition 2.1 ; see §8 ) imply that Weff , e has a unique critical point zo Є BR2 ( ze , C ) and zo ze = O ( 2 ) . - To show that zo E Nes , we use exactly the same arguments as those used in part 1 ) for the proof of the ...
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