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This article is cited in 6 scientific papers (total in 6 papers)
Weighted Fourier–Laplace transforms of analytic functionals on the disk
V. V. Napalkov, R. S. Yulmukhametov
Abstract:
A study is made of the question as to whether the space $\widehat L_2^a(D,\mu)$ has a norm of the form
$$
\|\widehat f\|_\nu =\int_0^\infty\!\!\!\int_0^{2\pi}|\widehat f(xe^{i\theta})|^2\,d\nu
(xe^{i\theta}),
$$
equivalent to the norm
$$
\|\widehat f\|_{\widehat L_2^a(D,\mu)}\stackrel{\mathrm{def}}=
\|f\|_{L_2^a(D,\mu)}.
$$
where $\nu$ is a nonnegative Borel measure on $\mathbb C$.
Received: 16.09.1991
Citation:
V. V. Napalkov, R. S. Yulmukhametov, “Weighted Fourier–Laplace transforms of analytic functionals on the disk”, Russian Acad. Sci. Sb. Math., 77:2 (1994), 385–390
Linking options:
https://www.mathnet.ru/eng/sm1093https://doi.org/10.1070/SM1994v077n02ABEH003447 https://www.mathnet.ru/eng/sm/v183/i11/p139
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Abstract page: | 495 | Russian version PDF: | 171 | English version PDF: | 21 | References: | 55 | First page: | 1 |
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