St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
83 sonuçtan 1-3 arası sonuçlar
Sayfa 40
... define the operator M ( z ) outside this spectrum by the formula ( 3.9 ) -1 M ( 2 ) = | V | 1/2 ( Loz ) 1 | V | 1/2 ... definition of M1 ( z ) , the operators P and P * can be commuted with | V | 1/2 , and we see that ( 3.12 ) || M1 ( 2 ) ...
... define the operator M ( z ) outside this spectrum by the formula ( 3.9 ) -1 M ( 2 ) = | V | 1/2 ( Loz ) 1 | V | 1/2 ... definition of M1 ( z ) , the operators P and P * can be commuted with | V | 1/2 , and we see that ( 3.12 ) || M1 ( 2 ) ...
Sayfa 166
... definition implies that ( 6.17 ) for lp , and I ( Te ( P ) , Te + 1 ( P ) ) < N − 1 I ( [ Te ( P ) , Te + 1 ( P ) ] ) ≥ N − 1 ( 6.18 ) for lp , provided Be ( P ) : = [ Te ( P ) , Te + 1 ( P ) ) contains more than one vertex . For a ...
... definition implies that ( 6.17 ) for lp , and I ( Te ( P ) , Te + 1 ( P ) ) < N − 1 I ( [ Te ( P ) , Te + 1 ( P ) ] ) ≥ N − 1 ( 6.18 ) for lp , provided Be ( P ) : = [ Te ( P ) , Te + 1 ( P ) ) contains more than one vertex . For a ...
Sayfa 177
... define a function c on the set { x : = kM − 3 : k Є Z , j Є Z + } by By this definition , ( 10.2 ) c ( x ) = ko ( x ) ( N ) , c ( x ) = { 0 , 1 , . . . , N − 1 } . c ( kM ̃3 ) = c ( k'M - 3 ) if and only if k = k ' ( N ) . In this ...
... define a function c on the set { x : = kM − 3 : k Є Z , j Є Z + } by By this definition , ( 10.2 ) c ( x ) = ko ( x ) ( N ) , c ( x ) = { 0 , 1 , . . . , N − 1 } . c ( kM ̃3 ) = c ( k'M - 3 ) if and only if k = k ' ( N ) . In this ...
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