St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
21 sonuçtan 1-3 arası sonuçlar
Sayfa 33
... multiplication by the potential determines a selfadjoint operator in L2 . More precisely , the following statement is true . Proposition 2.1 . There exists a selfadjoint operator ( DV ) R3 in L2 such that its domain Hy Hy ( R3 ) 4 is a ...
... multiplication by the potential determines a selfadjoint operator in L2 . More precisely , the following statement is true . Proposition 2.1 . There exists a selfadjoint operator ( DV ) R3 in L2 such that its domain Hy Hy ( R3 ) 4 is a ...
Sayfa 38
... multiplication by the singular part of the potential as V , multiplication by its smooth part as W , and the full Dirac operator with the potential consisting of the singular and smooth parts as B. In the next section we shall show that ...
... multiplication by the singular part of the potential as V , multiplication by its smooth part as W , and the full Dirac operator with the potential consisting of the singular and smooth parts as B. In the next section we shall show that ...
Sayfa 86
... multiplication by t is bounded in L1⁄2 ( dμ ) if and only if du has bounded support . Proof . Assume that the support of du is unbounded , say toward + ∞ . Then for every n > 0 there exists a function ƒ € L2 ( dμ ) with support on [ n ...
... multiplication by t is bounded in L1⁄2 ( dμ ) if and only if du has bounded support . Proof . Assume that the support of du is unbounded , say toward + ∞ . Then for every n > 0 there exists a function ƒ € L2 ( dμ ) with support on [ n ...
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