Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


On bounded solutions to convolution equations
HTML articles powered by AMS MathViewer

by Enrico Priola and Jerzy Zabczyk PDF
Proc. Amer. Math. Soc. 134 (2006), 3275-3286 Request permission


Periodicity of bounded solutions for convolution equations on a separable abelian metric group $G$ is established, and related Liouville type theorems are obtained. A non-constant Borel and bounded harmonic function is constructed for an arbitrary convolution semigroup on any infinite-dimensional separable Hilbert space, generalizing a classical result by Goodman (1973).
Similar Articles
Additional Information
  • Enrico Priola
  • Affiliation: Dipartimento di Matematica, Università di Torino, via Carlo Alberto 10, 10123, Torino, Italy
  • Email:
  • Jerzy Zabczyk
  • Affiliation: Instytut Matematyczny, Polskiej Akademii Nauk, ul. Sniadeckich 8, 00-950, War- szawa, Poland
  • Email:
  • Received by editor(s): May 25, 2005
  • Published electronically: May 8, 2006
  • Additional Notes: The first author was partially supported by Italian National Project MURST “Equazioni di Kolmogorov” and by Contract No ICA1-CT-2000-70024 between European Community and the Stefan Banach International Mathematical Center in Warsaw.
  • Communicated by: Jonathan M. Borwein
  • © Copyright 2006 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 134 (2006), 3275-3286
  • MSC (2000): Primary 43A55, 68B15, 47D07, 31C05
  • DOI:
  • MathSciNet review: 2231912