We develop differentiation theory based on a new definition of derivative: in terms of integrals of curves. It applies to a very wide class of domains. Some 'elementary' maps between Fréchet spaces, excluded from calculus by previous theories, now emerge as smooth maps
We revisit some basic concepts and ideas of the classical differential calculus and convex analysis ...
In this article we formalized the Fréchet differentiation. It is defined as a generalization of the ...
summary:The study of diffeomorphism group actions requires methods of infinite dimensional analysis....
We introduce a new approach to infinite dimensional holomorphy. Cast in the setting of closed-embedd...
The paper is concerned with generalized differentiation of set-valued mappings between Banach spaces...
We introduce a domain-theoretic framework for differential calculus. We define the set of primitive ...
It is shown how the techniques of automatic differentiation can be viewed in a broader context as an...
AbstractWe develop an extended generalized differential calculus for normal cones to nonconvex sets,...
AbstractWe establish that the category of Cauchy spaces and Cauchy continuous maps upholds an intrin...
AbstractIn connection with continuum mechanics there are physically meaningful choices of infinite-d...
The article provides a brief overview of the origin of the derivative, also discusses the issues tha...
In connection with continuum mechanics there are physically meaningful choices of infinite-dimension...
We revisit some basic concepts and ideas of the classical differential calculus and convex analysis ...
We revisit some basic concepts and ideas of the classical differential calculus and convex analysis ...
AbstractThe application of a general locally convex differentiation theory (Stroyan, Trans. Amer. Ma...
We revisit some basic concepts and ideas of the classical differential calculus and convex analysis ...
In this article we formalized the Fréchet differentiation. It is defined as a generalization of the ...
summary:The study of diffeomorphism group actions requires methods of infinite dimensional analysis....
We introduce a new approach to infinite dimensional holomorphy. Cast in the setting of closed-embedd...
The paper is concerned with generalized differentiation of set-valued mappings between Banach spaces...
We introduce a domain-theoretic framework for differential calculus. We define the set of primitive ...
It is shown how the techniques of automatic differentiation can be viewed in a broader context as an...
AbstractWe develop an extended generalized differential calculus for normal cones to nonconvex sets,...
AbstractWe establish that the category of Cauchy spaces and Cauchy continuous maps upholds an intrin...
AbstractIn connection with continuum mechanics there are physically meaningful choices of infinite-d...
The article provides a brief overview of the origin of the derivative, also discusses the issues tha...
In connection with continuum mechanics there are physically meaningful choices of infinite-dimension...
We revisit some basic concepts and ideas of the classical differential calculus and convex analysis ...
We revisit some basic concepts and ideas of the classical differential calculus and convex analysis ...
AbstractThe application of a general locally convex differentiation theory (Stroyan, Trans. Amer. Ma...
We revisit some basic concepts and ideas of the classical differential calculus and convex analysis ...
In this article we formalized the Fréchet differentiation. It is defined as a generalization of the ...
summary:The study of diffeomorphism group actions requires methods of infinite dimensional analysis....
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