square-integrable
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6 matching pages ♦
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6 matching pages
1: 28.30 Expansions in Series of Eigenfunctions
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►Then every continuous -periodic function whose second derivative is square-integrable over the interval can be expanded in a uniformly and absolutely convergent series
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2: 1.4 Calculus of One Variable
3: 1.18 Linear Second Order Differential Operators and Eigenfunction Expansions
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►Let
or
or
or
be a (possibly infinite, or semi-infinite)
interval in
.
For a Lebesgue–Stieltjes measure
on
let
be the space of all Lebesgue–Stieltjes measurable complex-valued functions on
which are square integrable
with respect to
,
…
►
1.18.13
,
►
1.18.14
,
…
►
1.18.52
,
,
…
►
1.18.65
.
…