On mutually inverse transforms of functions on a half-line
2019 ◽
Vol 489
(5)
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pp. 452-455
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Keyword(s):
Two transforms of functions on a half-line are considered. It is proved that their composition gives a concave majorant for every non-negative function. In particular, this composition is an identical transform on the class of non-negative concave functions. Applications of this result in the operator theory of Hilbert space and in the theory of quantum systems are mentioned. Several open problems are formulated.
1974 ◽
Vol 15
(7)
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pp. 917-925
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2005 ◽
Vol 71
(1)
◽
pp. 107-111
Keyword(s):
2004 ◽
Vol 67
(3)
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pp. 267-320
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2021 ◽
Vol 2038
(1)
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pp. 012026
Keyword(s):
2018 ◽
Vol 6
(2)
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pp. 181-200
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1974 ◽
Vol 26
(1)
◽
pp. 115-120
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Keyword(s):