Results 21 to 30 of about 13,937,425 (345)

On the Vector Representation of Characteristic Functions

open access: yesStats, 2023
Based upon the vector representation of complex numbers and the vector exponential function, we introduce the vector representation of characteristic functions and consider some of its elementary properties such as its polar representation and a vector ...
Wolf-Dieter Richter
doaj   +1 more source

Representation zeta functions of compact p-adic analytic groups and arithmetic groups [PDF]

open access: yes, 2013
We introduce new methods from p-adic integration into the study of representation zeta functions associated to compact p-adic analytic groups and arithmetic groups.
Onn, Uri   +3 more
core   +1 more source

Representation of hysteresis operators for vector-valued continuous monotaffine input functions by functions on strings [PDF]

open access: yes, 2012
In Brokate-Sprekels-1996, it was shown that scalar-valued hysteresis operators for scalar-valued continuous piecewise monotone input functions can be uniquely represented by functionals defined on the set of all finite alternating strings of real ...
Klein, Olaf
core   +1 more source

Representation of some special functions on transcendence basis

open access: yesTạp chí Khoa học Đại học Huế: Khoa học Tự nhiên, 2020
The special functions such as multiple harmonic sums, polyzetas or multiple polylogarithm functions are compatible with quasi-shuffle algebras. By using transcendence bases of the quasi-shuffle algebras studied in the paper [4], we will express non ...
Bui Van Chien
doaj   +1 more source

Cyclotomic Expressions for Representation Functions

open access: yesUniform Distribution Theory, 2019
Given a subset A of the natural numbers 𝕅 = {0, 1, 2, ···} (resp. of the ring 𝕑/ N𝕑 of residue classes modulo a positive integer N), we introduce certain sums of roots of unity associated with A.
C. Hélou
semanticscholar   +1 more source

Contributions from Theory of Semiotics Representation Registers to the function chapter analysis of a textbook

open access: yesEducação Matemática Debate, 2020
This paper presents an analysis of a chapter of Luiz Roberto Dante's high school textbook “Mathematics: Context and Applications” on the content of functions, based on some assumptions of the Semiotic Representation Records Theory.
Izabella Batista Silva   +2 more
doaj   +1 more source

Correlations of representation functions of binary quadratic forms [PDF]

open access: yes, 2012
This paper extends previous work on linear correlations of representation functions of positive definite binary quadratic forms to allow indefinite forms.
Lilian Matthiesen
semanticscholar   +1 more source

Representation of functions as the Post-Widder inversion operator of generalized functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1984
A study is made of the Post-Widder inversion operator to a class of generalized functions in the sense of distributional convergence. Necessary and sufficient conditions are proved for a given function to have the representation as the rth operate of the
R. P. Manandhar, L. Debnath
doaj   +1 more source

Integral Representation of Functions of Bounded Variation

open access: yesJournal of Mathematics, 2019
Functions of bounded variations form important transition between absolute continuous and singular functions. With Bainov’s introduction of impulsive differential equations having solutions of bounded variation, this class of functions had eventually ...
Z. Lipcsey   +3 more
doaj   +1 more source

A distributional representation of strip analytic functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1982
A strip analytic function converging in the D′ topology to certain boundary values (from the interior of the strip) is represented as the difference of two generalized Cauchy integrals.
Dragiŝa Mitrović
doaj   +1 more source

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