St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
85 sonuçtan 1-3 arası sonuçlar
Sayfa 40
... bounded operator on H ° ( N ) by the formula ( 3.10 ) ( cf. ( 2.18 ) ) . M ( z ) = { | V | 1 / 2 | Lol - 1 / 2 } ... bounded operator in L2 ( N ) 1 , and M2 ( z ) and M3 ( z ) extend to bounded operators in L2 ( R3 ) 4 . As functions of z ...
... bounded operator on H ° ( N ) by the formula ( 3.10 ) ( cf. ( 2.18 ) ) . M ( z ) = { | V | 1 / 2 | Lol - 1 / 2 } ... bounded operator in L2 ( N ) 1 , and M2 ( z ) and M3 ( z ) extend to bounded operators in L2 ( R3 ) 4 . As functions of z ...
Sayfa 42
... bounded as well . Now we verify that T2 ( z ) can be extended to a bounded operator from H ° ( ) 4 to H ° ( T ) and that its norm tends to zero as z = is , so . Since y same function we have = 0 , with the ( 3.24 ) T2 ( z ) = ÞyP [ ( Dc ...
... bounded as well . Now we verify that T2 ( z ) can be extended to a bounded operator from H ° ( ) 4 to H ° ( T ) and that its norm tends to zero as z = is , so . Since y same function we have = 0 , with the ( 3.24 ) T2 ( z ) = ÞyP [ ( Dc ...
Sayfa 225
... bounded uniformly in e . = Proof . To show that the operator A : = -A + 2 H2 L2 is invertible ( with bounded inverse ) , we show that its spectrum is disjoint from zero . Clearly , A is selfadjoint and positive . Hence , σ ( A ) C [ 0 ...
... bounded uniformly in e . = Proof . To show that the operator A : = -A + 2 H2 L2 is invertible ( with bounded inverse ) , we show that its spectrum is disjoint from zero . Clearly , A is selfadjoint and positive . Hence , σ ( A ) C [ 0 ...
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