Code: 15403618
This book presents a simple and novel theory of integration, both real and vectorial, particularly suitable for the study of PDEs. This theory allows for integration with values in a Neumann space E, i.e. in which all Cauchy seque ... more
English
149.53 €
RRP: 152.60 €
You save 3.07 €

You get 362 loyalty points
Book synopsis
This book presents a simple and novel theory of integration, both real and vectorial, particularly suitable for the study of PDEs. This theory allows for integration with values in a Neumann space E, i.e. in which all Cauchy sequences converge, encompassing Neumann and Fréchet spaces, as well as "weak" spaces and distribution spaces. We integrate "integrable measures", which are equivalent to "classes of integrable functions which are a.e. equals" when E is a Fréchet space. More precisely, we associate the measure f with a class f, where f(u) is the integral of fu for any test function u. The classic space Lp(O;E) is the set of f, and ours is the set of f; these two spaces are isomorphic. Integration studies, in detail, for any Neumann space E, the properties of the integral and of Lp(O;E): regularization, image by a linear or multilinear application, change of variable, separation of multiple variables, compacts and duals. When E is a Fréchet space, we study the equivalence of the two definitions and the properties related to dominated convergence.
Book details
Book category Books in English Mathematics & science Mathematics
149.53 €
English
Collection points Bratislava a 12824 dalších
Copyright ©2008-26 najlacnejsie-knihy.sk All rights reservedPrivacyCookies
25652 collection points
Delivery 2.99 €
02/210 210 99 (8-15.30h)Shopping cart ( Empty )