English

Toward a general theory of transmutation

funct-an 2016-08-31 v2 Functional Analysis Representation Theory

Abstract

A general construction of transmutation operators is developed for selfadjoint operators in Gelfand triples. Theorems regarding analyticity of generalized eigenfunctions and Paley-Wiener properties are proved.

Keywords

Cite

@article{arxiv.funct-an/9501006,
  title  = {Toward a general theory of transmutation},
  author = {A. Boumenir and R. Carroll},
  journal= {arXiv preprint arXiv:funct-an/9501006},
  year   = {2016}
}

Comments

Clarification of domains, 18 pages, latex

R2 v1 2026-07-22T12:30:32.909Z