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US-France Cooperative Research: Polynomials with
Concen- tration at Low Degrees and
Applications

Summary
This award will support
collaborative research in computational mathematics between Dr. Richard
Varga, and Dr. Per Enflo, Kent State University and Professor Bernard
Beauzamy, Institute for Mathematical Calculus, University of Paris 7,
France. An important new concept has been introduced recently by Drs.
Beauzamy and Enflo concerning the concentration of a polynomial. There are
many areas of mathematics which involve estimating polynomials, with these
estimates involving the degree of the polynomial. This occurs, for
example, in harmonic analysis, number theory and approximation theory. The
aim of this project is to obtain similar estimates of polynomials, which
now depend only on the concentration of these polynomials and not their
degree. An application of this work would be to the extension of
Jensen&apos;s formula in function theory. The project will benefit
from the complementary expertise of the investigators in Banach spaces and
numerical analysis, as well as the particular theoretical strength of the
French group.

Principal Investigator

Richard
Varga

Co-Principal Investigator(s)

Per Enflo |

Recipient Organization

Kent
State University

Granting Organization

Office
of International Science and Engineering (OISE -
NSF)

Reference

Dates

Fiscal Year

Funded Amount

8914646

1990-04-15 - 1993-03-31

1990

10,550 USD

10,550
USD

Keywords
Other Applications NEC
|Mathematics |

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