Geodesic
Weighted Fourier--Laplace transforms of analytic functionals on the~disk
Sbornik. Mathematics, Tome 77 (1994) no. 2, pp. 385-390

Voir la notice de l'article provenant de la source Math-Net.Ru

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 $\mathbb C$. 
@article{SM_1994_77_2_a8,
     author = {V. V. Napalkov and R. S. Yulmukhametov},
     title = {Weighted {Fourier--Laplace} transforms of analytic functionals on the~disk},
     journal = {Sbornik. Mathematics},
     pages = {385--390},
     publisher = {mathdoc},
     volume = {77},
     number = {2},
     year = {1994},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1994_77_2_a8/}
}
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V. V. Napalkov; R. S. Yulmukhametov. Weighted Fourier--Laplace transforms of analytic functionals on the~disk. Sbornik. Mathematics, Tome 77 (1994) no. 2, pp. 385-390. http://geodesic.mathdoc.fr/item/SM_1994_77_2_a8/