О классах бесконечно дифференцируемых функций
The paper discusses the classes of inﬁnitely diﬀerentiable functions, the growth of derivatives are limited given the positive sequence. This sequence can behave arbitrarily, ie be a regular, but non-zero it should be the members of an inﬁnite number. It oﬀers a variety of regularization of these sequences, depending on the type of area in which we study classes of inﬁnitely diﬀerentiable functions. The class of inﬁnitely diﬀerentiable functions, which limited the growth of the derivatives obtained regularized sequence identical to the original item by item class. It is possible to establish easily veriﬁable algebraic conditions for imbedding Sobolev spaces of inﬁnite order, considered in various ﬁelds, expressed in terms of the parameters space.