منابع مشابه
Exact results for some Madelung type constants in the finite-size scaling theory
A general formula is obtained from which the Madelung type constant: C(d|ν) = ∞ 0 dxx d/2−ν−1 ∞ l=−∞ e −xl 2 d − 1 − π x d 2 extensively used in the finite-size scaling theory is computed analytically for some particular cases of the parameters d and ν. By adjusting these parameters one can obtain different physical situations corresponding to different geometries and magnitudes of the ...
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We provide a short proof of the inequality (cf. Ben-Artzi and Klainerman [Regularity and decay of evolution equations, preprint] and Kato and Yajima [Rev. I m ~~(1+~~)~ " ~(1-4) " ~e " ~~~/*dt~C~~~~~~-cc with explicit (essentially exact) values for C. Recently Ben-Artzi and Klainerman [l] and Kato and Yajima [S] have focused interest on the estimate I I, 11(1 +x2)) " 2 (1-4)1'4ei'dUJ12dt<C IIU1...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1994
ISSN: 0024-3795
DOI: 10.1016/0024-3795(94)90429-4