scholarly journals Basic asymptotic estimates for powers of Wallis’ ratios

Cubo (Temuco) ◽  
2021 ◽  
Vol 23 (3) ◽  
pp. 357-368
Author(s):  
Vito Lampret
Keyword(s):  
1990 ◽  
Vol 13 (3) ◽  
pp. 517-525 ◽  
Author(s):  
Hans G. Feichtinger ◽  
A. Turan Gürkanli

Continuing a line of research initiated by Larsen, Liu and Wang [12], Martin and Yap [13], Gürkanli [15], and influenced by Reiter's presentation of Beurling and Segal algebras in Reiter [2,10] this paper presents the study of a family of Banach ideals of Beurling algebrasLw1(G),Ga locally compact Abelian group. These spaces are defined by weightedLp-conditions of their Fourier transforms. In the first section invariance properties and asymptotic estimates for the translation and modulation operators are given. Using these it is possible to characterize inclusions in section 3 and to show that two spaces of this type coincide if and only if their parameters are equal. In section 4 the existence of approximate identities in these algebras is established, from which, among other consequences, the bijection between the closed ideals of these algebras and those of the corresponding Beurling algebra is derived.


1979 ◽  
Vol 26 (4) ◽  
pp. 792-796
Author(s):  
N. N. Kuzyurin

2003 ◽  
Vol 3 (2) ◽  
Author(s):  
Bruno Colbois ◽  
Ana-Maria Matei

AbstractWe consider a 1-parameter family of hyperbolic surfaces M(t) of genus ν which degenerate as t → 0 and we obtain a precise estimate of λAs a direct application, we obtain that the quotientTo prove our results we use in an essential way the geometry of hyperbolic surfaces which is very well known. We show that an eigenfunction for λ


Nonlinearity ◽  
2021 ◽  
Vol 34 (6) ◽  
pp. 3953-3968
Author(s):  
Qinghua Chen ◽  
Yutian Lei

Author(s):  
M. S. P. Eastham ◽  
W. N. Everitt

SynopsisThe paper gives asymptotic estimates of the formas λ→∞ for the length l(μ)of a gap, centre μ in the essential spectrum associated with second-order singular differential operators. The integer r will be shown to depend on the differentiability properties of the coefficients in the operators and, in fact, r increases with the increasing differentiability of the coefficients. The results extend to all r ≧ – 2 the long-standing ones of Hartman and Putnam [10], who dealt with r = 0, 1, 2.


Author(s):  
S. M. Bauer ◽  
S. B. Filippov ◽  
A. L. Smirnov ◽  
P. E. Tovstik ◽  
R. Vaillancourt
Keyword(s):  

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