1,721,155 research outputs found
On the Paley–Wiener theorem in the Mellin transform setting
No full textWe establish a version of the Paaley-Wiener theorem of Fourier Analysis in the frame of Mellin transforms. We provide two different proofs, one involving complex analysis arguments, namely the Riemann surface of the logarithm and Cauchy theorems, and the other one employing a Bernstein inequality here derived for Mellin derivatives
Mellin Analysis and its basic associated metric- Applications to sampling theory
No full textIn this paper a notion of functional distance in the Mellin transform setting is introduced and a general representation formula is obtained for it. Also, a determination of the distance is given in terms of Lipschitz classes and Mellin-Sobolev spaces. Finally applications to approximate versions of certain basic relations valid for Mellin band-limited functions are studied in details
A fresh approach to the Paley-Wiener theorem for Mellin transforms and the Mellin-Hardy spaces
No full textHere we give a new approach to the Paley-Wiener theorem in a Mellin analysis setting which avoids the use of the Riemann surfaces of the logarithm and analytical branches and it is based on new concepts of polar analytic function in the Mellin setting and Mellin-Bernstein spaces. a notion of Hardy spaces in the Mellin setting is also given along with applications to exponential sampling formulas of optical physics
Integration of polar-analytic functions and applications to Boas' differentiation formula and Bernstein's inequality in Mellin setting
No full textWe establish a general version of Cauchy's integral formula and a residue theorem for polar-analytic functions, employing the new notion of
logarithmic poles. As an application, a Boas-type differentiation formula in Mellin setting and a Bernstein-type inequality for polar Mellin
derivatives are deduced
Going Beyond Counting First Authors in Author Co-citation Analysis
Full text linkThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
Variations on the Author
Full text link“Variations on the Author” discusses two of Eduardo Coutinho’s recent films (Um Dia na Vida, from 2010, and Últimas Conversas, posthumously released in 2015) and their contribution to the general question of documentary authorship. The director’s filmography is characterized by a consistent yet self-effacing form of authorial self-inscription: Coutinho often features as an interviewer that rather than express opinions propels discourses; an interviewer that is good at listening. This mode of self-inscription characterizes him as an author who is not expressive but who is nonetheless markedly present on the screen. In Um Dia na Vida, however, Coutinho is completely absent form the image, while Últimas Conversas, on the contrary, includes a confessional prologue that moves the director from the margins to the center of his films. This article examines the ways in which these works stand out in the filmography of a director who offers new insights into the notion of cinematic authorship
Appropriate Similarity Measures for Author Cocitation Analysis
Full text linkWe provide a number of new insights into the methodological discussion about author cocitation analysis. We first argue that the use of the Pearson correlation for measuring the similarity between authors’ cocitation profiles is not very satisfactory. We then discuss what kind of similarity measures may be used as an alternative to the Pearson correlation. We consider three similarity measures in particular. One is the well-known cosine. The other two similarity measures have not been used before in the bibliometric literature. Finally, we show by means of an example that our findings have a high practical relevance.information science;Pearson correlation;cosine;similarity measure;author cocitation analysis
Verallgemeinerte Stirling-, Bernoulli- und Euler-Zahlen, deren Anwendungen und schnell konvergente Reihen für Zeta-Funktionen
No full textVerallgemeinerte Stirling-, Bernoulli- und Euler-Zahlen, deren Anwendungen und schnell konvergente Reihen für Zeta-Funktionen
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