Family of generalized function associate d to quadratic form depending

ISBN-13: 9786202170963 / Angielski / Miękka / 2018 / 104 str.

Manuel Antonio Aguirre

Opis

The purpose of this text is to introduce family of generalized function associated to quadratic form depending of analytic parameter so that they can be applied to problem for partial differential equation. In this book we are going to study several distributional family with real coefficients and complex coeffients. In particular taking into account that mi+ni=n dimension of the space, we are going to study the quadratic form taking into account that i=1,2,...mi and i=mi+1,...mi+ni The mains results appearent in the chapters : 3,4,5,6,7,8. In this text appear generalization of property of elliptic kernel of Marcel Riesz and generalization formulae that appear in the text of Gelfand and Shilov ( Generalized Functions,vol.I,Acdemic Press, 1964) . On the other hand we obtain generalization of Nozaki ultrahyperbolic kernel and generalization of distribution family W(u,c) defined in the chapter 7.

O autorze

Aguirre, Manuel Antonio
Manuel Antonio Aguirre was born in Nicaragua and studied in Argentina. P:H.D. in Mathematical Science (U.B.A.), Argentina, Titular Teacher Faculty of Exact Science, UNICEN; Academic of National Academic of Buenos Aires, Specialty in Functional Analysis and distribution theory with 110 published article and two books.