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Cesaro sequences and Cesaro hereditary automataWe consider a class of so-called cesaro sequences over a finite alphabet, which possess
Fine spectra of the discrete generalized Cesàro operator on Banach sequence spacesThis paper concerns the spectrum and the fine spectrum of the discrete generalized Cesàro operator
Cesaro-heredity property in the shift register family shift registers, shift registers with internal XOR. We study the cesaro-heredity property of automata
On existence conditions for sequences uniformly distributed with respect to Voronoi's methodsNecessary and sufficient conditions for the uniformly distributed sequences of complex numbers
Correction to: Fine spectra of the discrete generalized Cesàro operator on Banach sequence spaces (Monatshefte für Mathematik, (2020), 10.1007/s00605-020-01376-w)Correction to: Fine spectra of the discrete generalized Cesàro operator on Banach sequence spaces
On the weak law for randomly indexed partial sums for arrays of random elements in martingale type p Banach spaces on the joint distribution of the sequence {Vnj,j≥1,n≥1} and the sequence {Nn,n≥1}. The weak law is proved under
On the weak law for randomly indexed partial sums for arrays of random elements in martingale type p Banach spaces on the joint distribution of the sequence {Vnj,j≥1,n≥1} and the sequence {Nn,n≥1}. The weak law is proved under
Bohr–Rogosinski phenomenon for analytic functions and Cesáro operators setting. In addition we discuss and derive Bohr-Rogosinski's radii for Cesáro operators on the space
STATISTICAL PROPERTIES of BINARY NONAUTONOMOUS SHIFT REGISTERS with INTERNAL XOR, registers with internal XOR are not Cesaro-hereditary. The authors show input sequences that possess
On the Bohr inequality for the Cesáro operator an analog of Bohr's results for the Cesáro operator acting on the space of holomorphic functions defined
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