One-parameter groups of operators and discrete Hilbert transforms

• Autores: Laura De Carli, Gohin Shaikh Samad
• Localización: Canadian mathematical bulletin, ISSN 0008-4395, Vol. 59, Nº 3, 2016, págs. 497-507
• Idioma: inglés
• DOI: 10.4153/cmb-2016-028-7
• Texto completo no disponible (Saber más ...)
• Referencias bibliográficas
  • M. Aigner and G. M. Ziegler, Proofs from The Book. Fourth ed., Springer-Verlag, Berlin, 2010.
  • Y. Belov, T. Mengestie, and K. Seip, Unitary discrete Hilbert transforms. J. Anal. Math. 112 (2010), 383–393.
  • L. Grafakos, An elementary proof of the square summability of the discrete Hilbert transform. Amer. Math. Monthly 101 (1994), no. 5, 456–458.
  • L. Grafakos, Best bounds for the Hilbert transform on $L^p(\mathbb{R}^1)$. Math. Res. Lett. 4 (1997), no. 4, 469–471.
  • L. Grafakos, Classical and modern Fourier analysis. Pearson Education, Inc., Upper Saddle River, NJ, 2004.
  • E. Hille and R. Phillips, Functional analysis and semigroups. American Mathematical Society Colloquium Publications, 31, American Mathematical...
  • S. Kak, The discrete Hilbert transform. Proc. IEEE 58 (1970), 585–586.
  • E. Laeng, Remarks on the Hilbert transform and some families of multiplier operators related to it. Collect. Math. 58 (2007), no. 1, 25–44.
  • S. K. Pichorides, On the best values of the constants in the Theorems of M. Riesz, Zygmund and Kolmogorov. Studia Math. 46 (1972), 165–179.
  • P. Schreier and L. Scharf, Statistical signal processing of complex-valued data: the theory of improper and noncircular signals. Cambridge...
  • J. Schur, Bemerkungen zur Theorie der beschränkten Bilinearformen mit unendlich vielen Veränderlichen. J. Reine Angew. Math. 140 (1911), 1–28.
  • E. M. Stein and G. Weiss, Introduction to Fourier analysis on Euclidean spaces. Princeton Mathematical Series, 32, Princeton University Press,...
  • H. Weyl, Reguläre Integralgleichungen mit besonderer Berücksichtigung des Fourierschen Integraltheorems. Doctoral Dissertation, University...
  • K. Yosida, Functional analysis. Springer-Verlag, 1968.