Yevgeniy Guseynov's research while affiliated with Policy Analysis Inc. and other places
What is this page?
This page lists the scientific contributions of an author, who either does not have a ResearchGate profile, or has not yet added these contributions to their profile.
It was automatically created by ResearchGate to create a record of this author's body of work. We create such pages to advance our goal of creating and maintaining the most comprehensive scientific repository possible. In doing so, we process publicly available (personal) data relating to the author as a member of the scientific community.
If you're a ResearchGate member, you can follow this page to keep up with this author's work.
If you are this author, and you don't want us to display this page anymore, please let us know.
It was automatically created by ResearchGate to create a record of this author's body of work. We create such pages to advance our goal of creating and maintaining the most comprehensive scientific repository possible. In doing so, we process publicly available (personal) data relating to the author as a member of the scientific community.
If you're a ResearchGate member, you can follow this page to keep up with this author's work.
If you are this author, and you don't want us to display this page anymore, please let us know.
Publications (3)
For a given parameterization of a Jordan curve, we define the notion of summability or classes of measurable functions on a contour where a new integral is introduced. It is shown that natural functional spaces defining summability for non-rectifiable Jordan curves are the Lebesgue spaces with the weighted norm. For non-rectifiable Jordan curves wh...
We are studying the layer potentials on rough boundaries in Rd, d>1, for Holder classes. The new surface integral introduced by the second author allows extend the layer potentials properties to highly irregular boundaries like non-rectifiable Jordan curves, fractals, sets of finite perimeter boundaries and flat chains. Such surfaces could have the...
We define a surface integral over the boundary of open bounded sets in \( R^d,\ d\ge {}2\), and provide a criterion that completely describes all the boundaries where this integral exists for the \( (d-1\))-differential forms from Hölder classes. The surface integral and the Gauss–Green formula are used in many areas of mathematics and physics, and...
Citations
... The geometric concept of d-summable sets is due to Harrison and Norton [18] (see also [17]). A variation of it, the notion of h-summability, has just introduced in [3]. ...
