Determination of a Function from Its Integrals over Spheres of a Fixed Radius

Fritz John
Additional contact information
Fritz John: New York University, Courant Institute of Mathematical Sciences

Chapter Chapter VI in Plane Waves and Spherical Means, 1981, pp 109-125 from Springer

Abstract: Abstract The problem to be discussed in this chapter consists in solving a special equation of the form (6.1) T f = g , $$Tf = g,$$ where T is a linear operator converting functions f (x) = f (x 1, ..., x n ) into functions g(x), and where T is invariant under translations. This invariance of T means that, if T associates with a function f (x) the function g(x), then it maps f (x + z) on g (x + z) for any z.

Date: 1981
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:978-1-4613-9453-2_7

Ordering information: This item can be ordered from
http://www.springer.com/9781461394532

DOI: 10.1007/978-1-4613-9453-2_7

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 ().