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82 sonuçtan 1-3 arası sonuçlar
Sayfa 79
In (3.1), the matrix A is Hermitian, the matrix B is positive, and d/x is a C"x "-
valued positive measure such that /R < oo. 3.1. £(Ar)-spaces. The reproducing-
kernel Hilbert spaces associated with Herglotz- Nevanlinna functions (that is, the
...
In (3.1), the matrix A is Hermitian, the matrix B is positive, and d/x is a C"x "-
valued positive measure such that /R < oo. 3.1. £(Ar)-spaces. The reproducing-
kernel Hilbert spaces associated with Herglotz- Nevanlinna functions (that is, the
...
Sayfa 309
... an oriented manifold M £ (I) M has property (I) if and only if the BKN-equation
over the graph X has a compatible solution; (HI) M has property (HI) if and only if
the BKN-equation has a compatible solution (a, 7) with positive length function a,
...
... an oriented manifold M £ (I) M has property (I) if and only if the BKN-equation
over the graph X has a compatible solution; (HI) M has property (HI) if and only if
the BKN-equation has a compatible solution (a, 7) with positive length function a,
...
Sayfa 338
Since Hm is positive semidefinite, the vector a lies in its kernel, so Hm is
supersingular. □ The "if" part. By Theorem 3.1(VF), it suffices to show that the
BKN-equation over M has a compatible symmetric solution with positive length
function.
Since Hm is positive semidefinite, the vector a lies in its kernel, so Hm is
supersingular. □ The "if" part. By Theorem 3.1(VF), it suffices to show that the
BKN-equation over M has a compatible symmetric solution with positive length
function.
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İçindekiler
ISOMETRIC EMBEDDINGS OF FINITEDIMENSIONAL SPACES | 17 |
Dedicated to M Sh Birman on the occasion of his 75th birthday | 285 |
Abstract The nonexistence of isometric embeddings I J1 t with p q is proved | 296 |
Telif Hakkı | |
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admits separation approximation assume asymptotic Birman BKN-equation boundary condition bounded C(zlm coefficients cohomology classes components consider constant Corollary corresponding defined definition denote diffeomorphism differential equations Dirac operator domain edge eigenvalues elliptic English transl estimate Euler characteristic exists finite formula geodesic graph-manifold Hilbert space holomorphic homogeneous hypoelliptic implies inequality inverse kernel labeled graph Lemma linear Math Mathematics Subject Classification matrix matrix-valued function maximal blocks meromorphic monodromy nonzero norm notation NPC-solution obtain oriented Painleve Painleve equations pair paper polynomial positive potential problem proof of Theorem properties Proposition prove rational refinable function relation respect result Riemann-Hilbert problem Riemannian manifold satisfies Seifert fibered Seifert fibered space selfadjoint selfadjoint operators singular smooth Sobolev Sobolev spaces spectrum Subsection subspace Suppose symmetric tensor Theorem Theorem 3.1 theory torus trace class unique vector vertex vertices zero