St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
48 sonuçtan 1-3 arası sonuçlar
Sayfa 153
... Theorem ( 3.4 ) Corollary 3.2 . Under the assumptions of Theorem 3.1 , but with p < 1 if q = ∞ , the inequality ( 3.5 ) N≥1 is true with C = C ( 4 , p * ) . Remark 3.3 . By using the assertion of Example 2.12 , assumption ( a ) in Theorem ...
... Theorem ( 3.4 ) Corollary 3.2 . Under the assumptions of Theorem 3.1 , but with p < 1 if q = ∞ , the inequality ( 3.5 ) N≥1 is true with C = C ( 4 , p * ) . Remark 3.3 . By using the assertion of Example 2.12 , assumption ( a ) in Theorem ...
Sayfa 158
... Theorem 3.1 will be attained in two steps . A. The first step . We show that Theorem 3.1 can be derived from the following result . Proposition 5.1 . Suppose that conditions ( a ) and ( b ) of Theorem 3.1 are fulfilled . Also , assume ...
... Theorem 3.1 will be attained in two steps . A. The first step . We show that Theorem 3.1 can be derived from the following result . Proposition 5.1 . Suppose that conditions ( a ) and ( b ) of Theorem 3.1 are fulfilled . Also , assume ...
Sayfa 337
... Theorem 3.1 . Thus , M has property ( E ) . Yw 6.3 . Spectral criterion for ( VE ) . Here we prove Theorem 4.6 . The " only if " part . Suppose a manifold M Є M has property ( VE ) . By Theorem 3.1 , there is a compatible symmetric ...
... Theorem 3.1 . Thus , M has property ( E ) . Yw 6.3 . Spectral criterion for ( VE ) . Here we prove Theorem 4.6 . The " only if " part . Suppose a manifold M Є M has property ( VE ) . By Theorem 3.1 , there is a compatible symmetric ...
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