St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
59 sonuçtan 1-3 arası sonuçlar
Sayfa 34
... belongs to Hy ( R3 ) 4 , and for every C ( N ) vanishing in a neighborhood of the origin and equal to 1 outside a larger neighborhood the product w belongs to H1 ( N , B ) 1 . Relations ( 2.6 ) and ( 2.3 ) imply that for w € Hy ( N , B ) ...
... belongs to Hy ( R3 ) 4 , and for every C ( N ) vanishing in a neighborhood of the origin and equal to 1 outside a larger neighborhood the product w belongs to H1 ( N , B ) 1 . Relations ( 2.6 ) and ( 2.3 ) imply that for w € Hy ( N , B ) ...
Sayfa 51
... belongs to Hs + 1 / 2 ( N ) 2 . In particular , this solution ( Nɛ ) 2 . belongs to C ( \ { 0 } ) 2 if u + € C∞ ( г ) 2 . Furthermore , the Poisson operator P1 is well defined ; it maps ut to the solution of the homogeneous system L1u ...
... belongs to Hs + 1 / 2 ( N ) 2 . In particular , this solution ( Nɛ ) 2 . belongs to C ( \ { 0 } ) 2 if u + € C∞ ( г ) 2 . Furthermore , the Poisson operator P1 is well defined ; it maps ut to the solution of the homogeneous system L1u ...
Sayfa 190
... belongs to the Hilbert Schmidt class S2 , and is Hölder contin- uous in v in the Hilbert - Schmidt norm . It follows that , for any z Є C + , the operator t ( z ) belongs to the trace class , is continuous in z € C + \ { 0 } in the ...
... belongs to the Hilbert Schmidt class S2 , and is Hölder contin- uous in v in the Hilbert - Schmidt norm . It follows that , for any z Є C + , the operator t ( z ) belongs to the trace class , is continuous in z € C + \ { 0 } in 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