St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
90 sonuçtan 1-3 arası sonuçlar
Sayfa 43
... true . In particular , there exists a real point z = λo at which ( 3.27 ) is true . Proof of Theorem 3.1 . Consider the operator K = | V | 1/2 ( Lo - Ao ) -1 with this o . The spectrum of K * K coincides with the spectrum of the ...
... true . In particular , there exists a real point z = λo at which ( 3.27 ) is true . Proof of Theorem 3.1 . Consider the operator K = | V | 1/2 ( Lo - Ao ) -1 with this o . The spectrum of K * K coincides with the spectrum of the ...
Sayfa 153
... true . Theorem 3.1 . For each fЄ B ( ) and each integer N≥ 1 , there is a function fN E L ( N ) such that ( 3.3 ) n || ƒ − ƒÑ || q ≤ CN ̄ || ƒ || B ; ( 4 ) , where C is a constant depending only on and p * : = min ( 1 , p ) . 3.1 ...
... true . Theorem 3.1 . For each fЄ B ( ) and each integer N≥ 1 , there is a function fN E L ( N ) such that ( 3.3 ) n || ƒ − ƒÑ || q ≤ CN ̄ || ƒ || B ; ( 4 ) , where C is a constant depending only on and p * : = min ( 1 , p ) . 3.1 ...
Sayfa 184
... true . Denote A min info ( x ( X1 ) ) . XLER2 Evidently , A Є [ -Co , 0 ] , and A = 0 for nonnegative V. By ( 1.3 ) , we have έ ( A ; X ( X1 ) , Xo ) = 0 for all X if X < A. Thus , the integrals in ( 2.3 ) and ( 2.4 ) vanish if X < A ...
... true . Denote A min info ( x ( X1 ) ) . XLER2 Evidently , A Є [ -Co , 0 ] , and A = 0 for nonnegative V. By ( 1.3 ) , we have έ ( A ; X ( X1 ) , Xo ) = 0 for all X if X < A. Thus , the integrals in ( 2.3 ) and ( 2.4 ) vanish if X < A ...
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