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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Spectral characterization of solutions to systems of linear differential equations
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by J. W. Neuberger
Proc. Amer. Math. Soc. 128 (2000), 845-852
DOI: https://doi.org/10.1090/S0002-9939-99-05065-0
Published electronically: July 28, 1999
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Abstract:

A spectral characterization of solutions of abstract linear differential equation systems is given. The characterization is in terms of the spectrum of a related continuous self-adjoint linear operator.
References
  • Robert A. Adams, Sobolev spaces, Pure and Applied Mathematics, Vol. 65, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1975. MR 0450957
  • Arne Beurling, The collected works of Arne Beurling. Vol. 1, Contemporary Mathematicians, Birkhäuser Boston, Inc., Boston, MA, 1989. Complex analysis; Edited by L. Carleson, P. Malliavin, J. Neuberger and J. Wermer. MR 1057613
  • J. W. Neuberger, Sobolev Gradients and Differential Equations, Springer Lecture Notes in Mathematics #1670 (1997).
  • Frigyes Riesz and Béla Sz.-Nagy, Functional analysis, Dover Books on Advanced Mathematics, Dover Publications, Inc., New York, 1990. Translated from the second French edition by Leo F. Boron; Reprint of the 1955 original. MR 1068530
  • K. R. Payne, Boundary Geometry and Location of Singularities for Solutions to the Dirichlet Problem for Tricomi Type Equations, Houston J. Math. 23 (1997), 1-23.
  • Morgan Ward and R. P. Dilworth, The lattice theory of ova, Ann. of Math. (2) 40 (1939), 600–608. MR 11, DOI 10.2307/1968944
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Bibliographic Information
  • J. W. Neuberger
  • Affiliation: Department of Mathematics, University of North Texas, Denton, Texas 76203
  • Email: jwn@unt.edu
  • Received by editor(s): March 5, 1998
  • Received by editor(s) in revised form: May 5, 1998
  • Published electronically: July 28, 1999
  • Communicated by: Christopher D. Sogge
  • © Copyright 1999 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 128 (2000), 845-852
  • MSC (1991): Primary 35A35
  • DOI: https://doi.org/10.1090/S0002-9939-99-05065-0
  • MathSciNet review: 1626458