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 convergence of the reconstruction formula for the potential function
Author(s):
Ya-Ting
Chen;
Y.
H.
Cheng;
C.
K.
Law;
J.
Tsay
Journal:
Proc. Amer. Math. Soc.
130
(2002),
2319-2324.
MSC (2000):
Primary 34A55;
Secondary 34B24
Posted:
January 17, 2002
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Abstract:
It is known that the potential function of the Sturm-Liouville problem can be reconstructed from the nodal data by a pointwise limit. We show that this convergence is in fact  .
References:
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Additional Information:
Ya-Ting
Chen
Affiliation:
Department of Applied Mathematics, National Sun Yat-Sen University, Kaohsiung, Taiwan 80424, Republic of China
Email:
chenyt@math.nsysu.edu.tw
Y.
H.
Cheng
Affiliation:
Department of Applied Mathematics, National Sun Yat-Sen University, Kaohsiung, Taiwan 80424, Republic of China
Email:
jengyh@math.nsysu.edu.tw
C.
K.
Law
Affiliation:
Department of Applied Mathematics, National Sun Yat-Sen University, Kaohsiung, Taiwan 80424, Republic of China
Email:
law@math.nsysu.edu.tw
J.
Tsay
Affiliation:
Department of Applied Mathematics, National Sun Yat-Sen University, Kaohsiung, Taiwan 80424, Republic of China
Email:
tsay@math.nsysu.edu.tw
DOI:
10.1090/S0002-9939-02-06297-4
PII:
S 0002-9939(02)06297-4
Keywords:
Inverse nodal problem,
potential function,
reconstruction formula
Received by editor(s):
November 21, 2000
Received by editor(s) in revised form:
February 20, 2001
Posted:
January 17, 2002
Communicated by:
Carmen C. Chicone
Copyright of article:
Copyright
2002,
American Mathematical Society
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