Voir la notice de l'article provenant de la source Cambridge University Press
Carli, Laura De; Samad, Gohin Shaikh. One-parameter Groups of Operators and Discrete Hilbert Transforms. Canadian mathematical bulletin, Tome 59 (2016) no. 3, pp. 497-507. doi: 10.4153/CMB-2016-028-7
@article{10_4153_CMB_2016_028_7,
author = {Carli, Laura De and Samad, Gohin Shaikh},
title = {One-parameter {Groups} of {Operators} and {Discrete} {Hilbert} {Transforms}},
journal = {Canadian mathematical bulletin},
pages = {497--507},
year = {2016},
volume = {59},
number = {3},
doi = {10.4153/CMB-2016-028-7},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-028-7/}
}
TY - JOUR AU - Carli, Laura De AU - Samad, Gohin Shaikh TI - One-parameter Groups of Operators and Discrete Hilbert Transforms JO - Canadian mathematical bulletin PY - 2016 SP - 497 EP - 507 VL - 59 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-028-7/ DO - 10.4153/CMB-2016-028-7 ID - 10_4153_CMB_2016_028_7 ER -
%0 Journal Article %A Carli, Laura De %A Samad, Gohin Shaikh %T One-parameter Groups of Operators and Discrete Hilbert Transforms %J Canadian mathematical bulletin %D 2016 %P 497-507 %V 59 %N 3 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-028-7/ %R 10.4153/CMB-2016-028-7 %F 10_4153_CMB_2016_028_7
[1] [1] Aigner, M. and Ziegler, G. M., Proofs from The Book. Fourth éd.,Springer-Verlag, Berlin, 2010. Google Scholar | DOI
[2] [2] Belov, Y., Mengestie, T., and Seip, K., Unitary discrete Hilbert transforms. J. Anal. Math. 112(2010), 383–393. Google Scholar | DOI
[3] [3] Grafakos, L., An elementary proof of the square summability of the discrete Hilbert transform. Amer. Math. Monthly 101(1994), no. 5, 456–458. Google Scholar | DOI
[4] [4] Grafakos, L., Best bounds for the Hilbert transform on L^R1). Math. Res. Lett. 4(1997), no. 4, 469–471. Google Scholar | DOI
[5] [5] Grafakos, L., Classical and modern Fourier analysis. Pearson Education, Inc., Upper Saddle River, NJ, 2004. Google Scholar
[6] [6] Hille, E. and Phillips, R., Functional analysis and semigroups. American Mathematical Society Colloquium Publications, 31, American Mathematical Society, Providence, RI, 1957. Google Scholar
[7] [7] Kak, S., The discrete Hilbert transform. Proc. IEEE 58(1970), 585–586. Google Scholar
[8] [8] Laeng, E., Remarks on the Hilbert transform and some families of multiplier operators related to it. Collect. Math. 58(2007), no. 1, 25–44. Google Scholar
[9] [9] Pichorides, S. K., On the best values of the constants in the Theorems of M. Riesz, Zygmund and Kolmogorov.Studia Math. 46(1972), 165–179. Google Scholar
[10] [10] Schreier, P. and Scharf, L., Statistical signal processing of complex-valued data: the theory of improper and noncircular signals. Cambridge University Press, Cambridge, 2010. Google Scholar | DOI
[11] [11] Schur, J., Bemerkungen zur Theorie der beschrànkten Bilinearformen mit unendlich vielen Veränderlichen. J. Reine Angew. Math. 140(1911), 1–28. Google Scholar | DOI
[12] [12] Stein, E. M. and Weiss, G., Introduction to Fourier analysis on Euclidean spaces. Princeton Mathematical Series, 32, Princeton University Press, Princeton, NJ, 1971. Google Scholar
[13] [13] Weyl, H., RegulàreIntegralgleichungenmit besondererBerùcksichtigung des Fourierschen Integraltheorems. Doctoral Dissertation, University of Gottingen, 1908. Google Scholar
[14] [14] Yosida, K., Functional analysis. Springer-Verlag, 1968. Google Scholar
Cité par Sources :