Institute of Mathematics Conferences, Sixth International Conference on Analytic Number Theory and Spatial Tessellations

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A generalization of the Walsh series by means of $Q_2$-representation of real numbers
Mykola Pratsiovytyi, Julia Maslova

Last modified: 2018-09-24


The report is devoted to the generalization of the Rademacher and Walsh functions, as well as the Walsh series, which are based on $Q_2$-representation of real numbers (a self-similar generalization of the classical binary representation of numbers with the preservation of zero redundancy). Various applications of new objects and their properties are indicated.