The concept of para-differential operators over locally compact Vilenkin groups is given and their properties are studied. By means of para-linearization theorem, efforts are made to establish the basic theory of Gibb...The concept of para-differential operators over locally compact Vilenkin groups is given and their properties are studied. By means of para-linearization theorem, efforts are made to establish the basic theory of Gibbs-Butzer differential operators.展开更多
The concept of para-product operators over locally compact Vilenkin groups is established and the applications to the para-linearization in nonlinear problems are studied. This kind of operators plays a special role i...The concept of para-product operators over locally compact Vilenkin groups is established and the applications to the para-linearization in nonlinear problems are studied. This kind of operators plays a special role in dealing with those functions which do not have the classical derivatives.展开更多
文摘The concept of para-differential operators over locally compact Vilenkin groups is given and their properties are studied. By means of para-linearization theorem, efforts are made to establish the basic theory of Gibbs-Butzer differential operators.
基金the National Natural Science Foundation of China
文摘The concept of para-product operators over locally compact Vilenkin groups is established and the applications to the para-linearization in nonlinear problems are studied. This kind of operators plays a special role in dealing with those functions which do not have the classical derivatives.
