AbstractThe Stokes theorem for noncontinuously differentiable forms has been established by means of a coordinate free Riemann-type integral, which integrates the divergence of any differentiable vector field over bounded sets of finite perimeter. We show that the pointwise products of integrable and Lipschitz functions are integrable, and interpret the integrable functions as distributions
International audienceWe generalize the Lipschitz constant to fields of affine jets and prove that s...
Fractional integrals and derivatives in a sense generalize common integrals and derivatives. They ca...
We make use of product integrals to provide an unambiguous mathematical representation of Wilson lin...
AbstractThe Stokes theorem for noncontinuously differentiable forms has been established by means of...
In these lectures I shall present some geometric aspects of the generalized Riemann integral, define...
This book is devoted to a detailed development of the divergence theorem. The framework is that of L...
The aim of this work is to introduce differential forms on Euclidean space. The theory of differenti...
We develop a domain-theoretic computational model for multi-variable differential calculus, which fo...
summary:We use an elementary method to prove that each $BV$ function is a multiplier for the $C$-int...
An identity for the difference between two integral means is obtained in terms of a Riemann-Stieltje...
Includes bibliographical references (leave 80)The intent of this thesis is to expose the reader to S...
. We construct, using Zahorski's Theorem, two everywhere differentiable real--valued Lipschitz ...
An identity for the difference between two integral means is obtained in terms of a Riemann-Stieltje...
In a previous paper [1], the fundamentals of differential and integral calculus on Euclidean n-space...
AbstractWe generalize the classical Frobenius Theorem to distributions that are spanned by locally L...
International audienceWe generalize the Lipschitz constant to fields of affine jets and prove that s...
Fractional integrals and derivatives in a sense generalize common integrals and derivatives. They ca...
We make use of product integrals to provide an unambiguous mathematical representation of Wilson lin...
AbstractThe Stokes theorem for noncontinuously differentiable forms has been established by means of...
In these lectures I shall present some geometric aspects of the generalized Riemann integral, define...
This book is devoted to a detailed development of the divergence theorem. The framework is that of L...
The aim of this work is to introduce differential forms on Euclidean space. The theory of differenti...
We develop a domain-theoretic computational model for multi-variable differential calculus, which fo...
summary:We use an elementary method to prove that each $BV$ function is a multiplier for the $C$-int...
An identity for the difference between two integral means is obtained in terms of a Riemann-Stieltje...
Includes bibliographical references (leave 80)The intent of this thesis is to expose the reader to S...
. We construct, using Zahorski's Theorem, two everywhere differentiable real--valued Lipschitz ...
An identity for the difference between two integral means is obtained in terms of a Riemann-Stieltje...
In a previous paper [1], the fundamentals of differential and integral calculus on Euclidean n-space...
AbstractWe generalize the classical Frobenius Theorem to distributions that are spanned by locally L...
International audienceWe generalize the Lipschitz constant to fields of affine jets and prove that s...
Fractional integrals and derivatives in a sense generalize common integrals and derivatives. They ca...
We make use of product integrals to provide an unambiguous mathematical representation of Wilson lin...
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