In this note, it is proved the existence of an infinitely generated multiplicative group consisting of entire functions that are, except for the constant function 1, hypercyclic with respect to the ...

Artificial intelligence (AI) has recently gained rapid development in academy and industry due to intense research of deep convolutional neural network (CNN) with a multilayer architecture. In each ...

This is a preview. Log in through your library . Abstract Under certain hypothesis including a Hörmander-type condition on the convolution kernel K we show that K * f belongs to the space ...