Sets with the Pompeiu Property

Valery V. Volchkov and Vitaly V. Volchkov
Additional contact information
Valery V. Volchkov: Donetsk National University, Department of Mathematics
Vitaly V. Volchkov: Donetsk National University, Department of Mathematics

Chapter Chapter 4 in Offbeat Integral Geometry on Symmetric Spaces, 2013, pp 309-357 from Springer

Abstract: Abstract The statement of Proposition 1.1 shows that in the case where A is a ball, the map $$\mathcal{P}\,:\,\mathcal{C}(\mathbb{R}^n)\,\rightarrow\,\mathcal{C}\left(\rm M(n)\right){\rm \,ginen \, by }\,(\mathcal{P}f)(g)\,=\,\int_{g^-1A}f(x)dx$$

Keywords: Support Function; Nonzero Function; Quadrature Domain; Parallel Side; Positive Lebesgue Measure (search for similar items in EconPapers)
Date: 2013
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-0572-8_9

Ordering information: This item can be ordered from
http://www.springer.com/9783034805728

DOI: 10.1007/978-3-0348-0572-8_9

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().