St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
16 sonuçtan 1-3 arası sonuçlar
Sayfa 186
... trace class perturbation and was generalized in [ 23 ] to the case of relatively trace class perturbations . The formula generalizes the earlier results of [ 21 ] , [ 30 ] and can be regarded as a far - reaching extension of the Birman ...
... trace class perturbation and was generalized in [ 23 ] to the case of relatively trace class perturbations . The formula generalizes the earlier results of [ 21 ] , [ 30 ] and can be regarded as a far - reaching extension of the Birman ...
Sayfa 190
... trace class S1 . This can be seen as follows . By the spectral theorem , we can write t ( z ) = where F ( v ) : L2 ( R ) → C2 is given by dv ν- 2 2 € C + , = √ F ( 1 ) F ( M ) F ( v ) : u ( x ) → ( ( 2 +/- 1-1 / 4 [ ̧ + i√vx ( x ) ...
... trace class S1 . This can be seen as follows . By the spectral theorem , we can write t ( z ) = where F ( v ) : L2 ( R ) → C2 is given by dv ν- 2 2 € C + , = √ F ( 1 ) F ( M ) F ( v ) : u ( x ) → ( ( 2 +/- 1-1 / 4 [ ̧ + i√vx ( x ) ...
Sayfa 191
... trace class S1 and depends continuously on z € C + \ { 2bq } in the trace class norm . Moreover , ( 4.8 ) || Tq ( E + i0 ) || ≤ C1 E - 2bq | 1/2 EЄR \ { 2bq } , ( 4.9 ) || Tq ( E + i0 ) || s1 ≤ - C2b | E – 2bq | 1/2 - · ( 1+ | E ...
... trace class S1 and depends continuously on z € C + \ { 2bq } in the trace class norm . Moreover , ( 4.8 ) || Tq ( E + i0 ) || ≤ C1 E - 2bq | 1/2 EЄR \ { 2bq } , ( 4.9 ) || Tq ( E + i0 ) || s1 ≤ - C2b | E – 2bq | 1/2 - · ( 1+ | E ...
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