ON SET FUNCTIONALS THAT PRESERVE A GIVEN GEOMETRY CLASS,
Abstract
A geometry class is defined as the collection o, all geometric objects of a given order with a given law of transformation. A basic functional equation is obtained for an element a which is both necessary and sufficient for it to be an element of the same geometry class as the given element. After establishing a general representation theorem for elements of an arbitrary linear homogeneous geometry class, explicit solutions of the basic functional equation are obtained for elements of this class. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1964
- Accession Number
- AD0438433
Entities
People
- Dominic G. B. Edelen
Organizations
- RAND Corporation