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75 sonuçtan 1-3 arası sonuçlar
Sayfa 253
Suppose a linear functional tp is defined on some linear space D D XoHXi. Let ip
be the restriction of ip to Xq fl Xi, and suppose that ip G (Xo n Xi)*, ip ^ 0. Let a,f3,
cto, and be the dilation indices of the function k(t) = K(t, ip; Xq. X\ ). We assume ...
Suppose a linear functional tp is defined on some linear space D D XoHXi. Let ip
be the restriction of ip to Xq fl Xi, and suppose that ip G (Xo n Xi)*, ip ^ 0. Let a,f3,
cto, and be the dilation indices of the function k(t) = K(t, ip; Xq. X\ ). We assume ...
Sayfa 260
Suppose two numbers po, P\ (1 < Po < pi < oo) and two weight functions Wq(x),
wi(x) satisfy (*) if po > 1 and satisfy (**) if po = 1. Let a.p.ctQ, and 0X be the pn-'
_s_ dilation indices of the function /^(i) = s(t) 'o wo{s(t)) "o , where s(t) is the
solution ...
Suppose two numbers po, P\ (1 < Po < pi < oo) and two weight functions Wq(x),
wi(x) satisfy (*) if po > 1 and satisfy (**) if po = 1. Let a.p.ctQ, and 0X be the pn-'
_s_ dilation indices of the function /^(i) = s(t) 'o wo{s(t)) "o , where s(t) is the
solution ...
Sayfa 417
Suppose {J-,G,H} G T. Then there exist unique real-valued functions G Hq(K) and
a vector 5r G R2 such that (2.4) id+($ - itf ) = -{Q + iT)xx - iH(x2 + »)□ Moreover, (
2.4) implies that G Co(K) and x\ > 0. Lemma 2.6 ^[29]). Suppose {T,G,H~\ G T.
Suppose {J-,G,H} G T. Then there exist unique real-valued functions G Hq(K) and
a vector 5r G R2 such that (2.4) id+($ - itf ) = -{Q + iT)xx - iH(x2 + »)□ Moreover, (
2.4) implies that G Co(K) and x\ > 0. Lemma 2.6 ^[29]). Suppose {T,G,H~\ G T.
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A FeHepanoe A M KorieHHan nopoacfleHHOCTb aire6p | 1 |
BblUKO A r O Uqsl2 HHBapHaHTHbIX lMaTpHljaX flJIfl CTapilJMX | 24 |
Mamuioe JI M 06 OTcyrcTBHH coScTBeHHbix 3HaMeHHH b cneKTpe | 47 |
Telif Hakkı | |
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absolutely continuous algebraic solutions amoebas analytic arbitrary assume asymptotic badly approximable Belyi function Bose gas bounded coefficients coincides compact condition conjugacy classes consider constant convergence convex Corollary correlation functions corresponding curves defined definition deformation denote dessins diagram differential dimension Dirac operator discrete edges eigenvalues element English transl equivalent estimate exists finite matrix functions formula G-cycle geodesic given Goursat problem graph hyperbolic identity implies inequality integral intersection invariant lattice Lemma linear Lipschitz Lipschitz map locally Math Mathematics Subject Classification metric space Newton polygon notation obtain Painleve parameter Phys polygon polynomial problem proof of Theorem Proposition prove quantum R-matrix rational functions relation respectively result right-hand side satisfies selfadjoint sequence sixth Painleve equation spectrum strongly regular graph Subsection subspace Suppose symmetric Theorem 2.1 theory transformation unique variables vector vertex vertices YB equation zero