St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
44 sonuçtan 1-3 arası sonuçlar
Sayfa 99
... extension of S in H ( such an extension is called canonical ) . For every z ЄC \ R , the operator -1 I + ( z − zo ) ( Ao − zI ) −1 - - - is a bijection from ker ( S * – zoI ) onto ker ( S * – zI ) . Let Tz , denote a bijection from C ...
... extension of S in H ( such an extension is called canonical ) . For every z ЄC \ R , the operator -1 I + ( z − zo ) ( Ao − zI ) −1 - - - is a bijection from ker ( S * – zoI ) onto ker ( S * – zI ) . Let Tz , denote a bijection from C ...
Sayfa 101
... extensions of S. Then there exists a Q - function of S such that 1 Tr ( ( G + − zI ) -1 — ( G_ − zI ) −1 ) = TrQ ( z ) ̄1Q ' ( z ) , = - z € C + . Proof . We take Go G in ( 7.3 ) and take a Q - function coming from G. The extension G ...
... extensions of S. Then there exists a Q - function of S such that 1 Tr ( ( G + − zI ) -1 — ( G_ − zI ) −1 ) = TrQ ( z ) ̄1Q ' ( z ) , = - z € C + . Proof . We take Go G in ( 7.3 ) and take a Q - function coming from G. The extension G ...
Sayfa 317
... extension to an NPC - metric on it ( Lemma 5.3 ) , and to have an extension to a horizontal immersion in it ( Lemma 5.6 ) . These conditions are an essential part of the proof of Theorems 2.3 and 3.1 . Though Lemmas 5.3 and 5.6 are ...
... extension to an NPC - metric on it ( Lemma 5.3 ) , and to have an extension to a horizontal immersion in it ( Lemma 5.6 ) . These conditions are an essential part of the proof of Theorems 2.3 and 3.1 . Though Lemmas 5.3 and 5.6 are ...
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