894 research outputs found
Comparison of the Pr-integral with Burkill's integrals and some applications to trigonometric series
No full textIt is proved that the Pr-integral [9] which recovers a function from its derivative defined in the space Lr, 1 <= r < infinity, is properly included in Burkill's trigonometric CP-and SCP-integrals. As an application to harmonic analysis, a de La Vallee-Poussin-type theorem for the Pr-integral is obtained: convergence nearly everywhere of a trigonometric series to a Pr-integrable function f implies that this series is the Pr-Fourier series of f.(c) 2023 Elsevier Inc. All rights reserved
Kurzweil-Henstock type integral on zero-dimensional group and some of its applications
No full textsummary:A Kurzweil-Henstock type integral on a zero-dimensional abelian group is used to recover by generalized Fourier formulas the coefficients of the series with respect to the characters of such groups, in the compact case, and to obtain an inversion formula for multiplicative integral transforms, in the locally compact case
An Optimal Estimate of the --Variation
No full textA notion of Lr-δ-variation of a function in Lr which plays an essential role in the theory of the Henstock-Kurzweil integral for functions in Lr (HKr-integral) is studied. We obtain an improved, in fact the best possible, estimate from below for this variation via the classical variation. We show that the class of functions having a finite Lr-δ-variation on an interval coincides with the class of functions of bounded variation on this interval. As a by-product of the results of the paper we obtain a new proof of the uniqueness of the HKr-integral
On the Lr-differentiability of two Lusin classes and a full descriptive characterization of the HKr-integral
No full textIt is proved that any function of a Lusin-type class, the class of ACGr-functions, is differentiable almost everywhere in the sense of a derivative defined in the space Lr, 1 ≤ r < ∞. This leads to a full descriptive characterization of a Henstock-Kurzweil-type integral, the HKr-integral, which serves to recover functions from their Lr-derivatives. The class ACGr is compared with the classical Lusin class ACG and it is shown that continuous ACG-functions can fail to be Lr-differentiable almost everywhere
On the Coefficients of Multiple Series with Respect to Vilenkin System
No full textWe give a sufficient condition for coefficients of double series ∑∑ n,m a n,m χ n,m with respect to Vilenkin system to be convergent to zero when n + m →∞. This result can be applied to the problem of recovering coefficients of a Vilenkin series from its su
Alf Nilsen-Børsskog — The Author Chosen by the Language
No full textThis article discusses Alf Nilsen-Børsskog’s four-volume series of novels Elämän jatko [Continuation of life, 2004–2015], seen as the first literary works treating the Kven culture from a native perspective. Nilsen-Børsskog’s novels are analysed as constituting a “counterstory”, a term coined in the postcolonial cultural research paradigm to refer to self-representation. The Kvens have been considered a national minority in Norway since 1999, and their language has been an official minority language since 2005. The present author scrutinizes how Nilsen-Børsskog’s work differs from previous literary descriptions of this minority, often marked by the frequent use of stereotypes of the Kven language and culture
LIBS and LA-SD-OES Analysis of Minor and Trace Elements in Steel Samples
No full textAuthor Valentin Ehrentraut, BScMasterarbeit Universität Linz 2022Arbeit nach Ablauf der Sperre auf den öffentlichen PCs in den Bibliotheken der JKU+Medizin abrufba
Johann Siegmund Valentin Popowitsch (Janez Žiga Valentin Popovič), Vocabula Austriaca et Stiriaca 1-2 (Frankfurt am Main 2004)
No full textThe Austrian dictionary composed by the Slovenian scho-lar Janez Žiga Valentin Popovič (1705-1774) in the third quarter of the 18th century was only published in 2004, and edited by Richard Reutner, who wrote an extensive introduction to it. The dictionary comprises many language-geographical data for the German language, excellent explanations and many comparisons with much information provided regarding Popovic's mother tongue. The author broad horizon is admirable, especially with regard to the German language area and the linguistic literature of that time.Avstrijski slovar, ki ga je v tretji četrtini 18. stoletja sestavil slovenski učenjak Janez Žiga Valentin Popovič (1705-1774), je izšel šele leta 2004 v uredništvu Richarda Reutnerja, kije k njemu napisal obsežen uvod. Slovar vsebuje mnogo jezikovnogeografskih podatkov za nemščino, odlične razlage in marsikaj primerjalnega, veliko pa se najde tudi v zvezi s Popovičevo materinščino. Občudovanja vredna je avtorjeva razgledanost predvsem po nemškem jezikoslovnem prostoru in po takratni jezikoslovni literaturi
Valentin N. Volóchinov: um filósofo da ciência da linguagem
No full textThis text address the work of Russian scholar Valentin N. Vološinov, author of the book Marxism and the Philosophy of Language. The objective is to demonstrate a set of characteristics that place Vološinov as a participant in the critique of science movement, which had its epicenter in Germany, between the years 1840 and 1900. To this end, in addition to a general reflection, which recovers the meaning of the term “criticism” most present in the academic environment of the time, this text considers two points of the much mentioned – and, apparently, somewhat misunderstood – opposition of the Russian thinker to the linguistics of Ferdinand de Saussure, as this linguistics is presented in the Course in General Linguistics. Finally, by way of provocation, this text outlines a few words about the proximity between the epistemological works of Valentin N. Vološinov and Wilhelm Dilthey.Este texto aborda la obra del estudioso ruso Valentin N. Voloshinov, autor de la obra Marxismo y filosofía del lenguaje. El objetivo es demostrar un conjunto de características que sitúan a Voloshinov como participante del movimiento de crítica científica, que tuvo su epicentro en Alemania, entre los años 1840 y 1900. Para ello, además de una reflexión general, que recupera el significado del término “crítica” más presente en el ambiente académico de la época, se consideran dos puntos de la tan mencionada –y, aparentemente, algo incomprendida– oposición del pensador ruso a la lingüística de Ferdinand de Saussure, tal como se presenta esta última en el curso de lingüística general. Al final, a modo de provocación, se esbozan algunas palabras sobre la proximidad entre las obras epistemológicas de Valentin N. Voloshinov y Wilhelm Dilthey.O presente texto aborda o trabalho do estudioso russo Valentin N. Volóchinov, autor da obra Marxismo e filosofia da linguagem. O objetivo é demonstrar um conjunto de características que situam Volóchinov como um partícipe do movimento de crítica das ciências, o qual teve seu epicentro na Alemanha, entre os anos 1840 e 1900. Para isso, além de uma reflexão geral, que recupera a acepção do termo “crítica” mais presente no ambiente acadêmico da época, são considerados dois pontos da muito mencionada – e, ao que tudo indica, um tanto mal compreendido – oposição do pensador russo à linguística de Ferdinand de Saussure, tal como essa última é apresentada no Curso de linguística geral. Ao fim, a título de provocação, são esboçadas algumas palavras a respeito da proximidade entre os trabalhos epistemológicos de Valentin N. Volóchinov e Wilhelm Dilthey
Shifting patterns of fruit production in tropical forests with negative outnumbering positive trends
No full textAnalysis related to Shifting patterns of fruit production in tropical
forests with negative outnumbering positive trends from Hacket-Pain et al.
Code generated by Journé Valentin.
For details please check the README (Wiki) and the main study
corresponding author: Andrew Hacket-Pain; [email protected]
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