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87 sonuçtan 1-3 arası sonuçlar
Sayfa 51
The following proposition can easily be checked by applying the theorem on
local smoothness for solutions of elliptic problems. Proposition 8.5. For arbitrarily
small e > 0 and s > 1/2, if u+ € HS(T)2, then the solution of the system Liu = 0 ...
The following proposition can easily be checked by applying the theorem on
local smoothness for solutions of elliptic problems. Proposition 8.5. For arbitrarily
small e > 0 and s > 1/2, if u+ € HS(T)2, then the solution of the system Liu = 0 ...
Sayfa 129
Proposition 2. The function $(A, x) is an entire function of A; indeed, $(\,x)eH°(Cx(
DSo(x0)\e0)), and both $(A,x) and <f>_1(A, x) are meromorphic along Dq x 0q.
Moreover, (67) $(A,x)51--5fc_1~A("oI -°Jfl0(/ + £ I^)e-e<A'*>**, A — * 00, A € Ck, ...
Proposition 2. The function $(A, x) is an entire function of A; indeed, $(\,x)eH°(Cx(
DSo(x0)\e0)), and both $(A,x) and <f>_1(A, x) are meromorphic along Dq x 0q.
Moreover, (67) $(A,x)51--5fc_1~A("oI -°Jfl0(/ + £ I^)e-e<A'*>**, A — * 00, A € Ck, ...
Sayfa 160
We apply Proposition 4.1 to the partition of V into the collection of trees Vfl(7) with
R G 7^(7) and 7 belonging to the set F of colors. Here V is the set of vertices of
the digraph Gr := Gr(A,T>). To simplify the consequent notation, we shall index
the ...
We apply Proposition 4.1 to the partition of V into the collection of trees Vfl(7) with
R G 7^(7) and 7 belonging to the set F of colors. Here V is the set of vertices of
the digraph Gr := Gr(A,T>). To simplify the consequent notation, we shall index
the ...
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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