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TUTCRIS

Gibbs Dyadic Differentiation on Groups - Evolution of the Concept

Tutkimustuotosvertaisarvioitu

Yksityiskohdat

AlkuperäiskieliEnglanti
OtsikkoComputer Aided Systems Theory – EUROCAST 2017 - 16th International Conference, Revised Selected Papers
KustantajaSpringer Verlag
Sivut229-237
Sivumäärä9
ISBN (painettu)9783319747262
DOI - pysyväislinkit
TilaJulkaistu - 2018
OKM-julkaisutyyppiA4 Artikkeli konferenssijulkaisussa
TapahtumaINTERNATIONAL CONFERENCE ON COMPUTER AIDED SYSTEMS THEORY -
Kesto: 1 tammikuuta 1900 → …

Julkaisusarja

NimiLecture Notes in Computer Science
Vuosikerta10672
ISSN (painettu)0302-9743
ISSN (elektroninen)1611-3349

Conference

ConferenceINTERNATIONAL CONFERENCE ON COMPUTER AIDED SYSTEMS THEORY
Ajanjakso1/01/00 → …

Tiivistelmä

Differential operators are usually used to determine the rate of change and the direction of change of a signal modeled by a function in some appropriately selected function space. Gibbs derivatives are introduced as operators permitting differentiation of piecewise constant functions. Being initially intended for applications in Walsh dyadic analysis, they are defined as operators having Walsh functions as eigenfunctions. This feature was used in different generalizations and extensions of the concept firstly defined for functions on finite dyadic groups. In this paper, we provide a brief overview of the evolution of this concept into a particlar class of differential operators for functions on various groups.

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