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Summary: c Copyright by Parthena Avramidou, 2003
CONVERGENCE OF CONVOLUTION OPERATORS AND
WEIGHTED AVERAGES IN LP SPACES
BY
PARTHENA AVRAMIDOU
Diploma, Aristotle University of Thessaloniki, 1993
M.S., University of Wyoming, 1998
THESIS
Submitted in partial fulfillment of the requirements
for the degree of Doctor of Philosophy in Mathematics
in the Graduate College of the
University of Illinois at Urbana-Champaign, 2003
Urbana, Illinois
CONVERGENCE OF CONVOLUTION OPERATORS AND WEIGHTED
AVERAGES IN LP SPACES
Parthena Avramidou, Ph.D.
Department of Mathematics
University of Illinois at Urbana-Champaign, 2003
Joseph Rosenblatt, Adviser
It is well known that it is possible to have pointwise convergence in some
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