Prof. Shobha Madan

Professor Shobha Madan had been a visiting professor in the Department of Mathematical Sciences at IISER Mohali during the period 2016 to 2018, after her retirement as a professor from the Department of Mathematics at IIT Kanpur.

Shobha Madan‘s research interests are in abstract harmonic analysis, dynamical systems and ergodic theory, fourier analysis, functional analysis and operator theory. She is an author of over 20 research papers and her selected works are as follows:

(1) Debashish Bose and S. Madan, On the rationality of the spectrum. J. Fourier Anal. Appl. 24 (2018), no. 4, 1037–1047.
(2) Debashish Bose and S. Madan, “Spectral implies tiling” for three intervals revisited. Forum Math. 26 (2014), no. 4, 1247–1260.
(3) Debashish Bose and S. Madan, Spectrum is periodic for n-intervals. J. Funct. Anal. 260 (2011), no. 1, 308–325.
(4) S. Madan and Parasar Mohanty, Jodeit’s extensions for bilinear multipliers. Bull. Lond. Math. Soc. 40 (2008), no. 6, 937–944.
(5) P. Mohanty and S. Madan, Extensions of weak type multipliers. Studia Math. 158 (2003), no. 1, 1–10.
(6) Nicola  Arcozzi, Biswaranjan Behera and Shobha Madan,  Large classes of minimally supported frequency wavelets of L^2(ℝ) and H^2(ℝ). J. Geom. Anal. 13 (2003), no. 4, 557–579.
(7) P. Mohanty and S. Madan, Summability kernels for L^p multipliers. J. Fourier Anal. Appl. 9 (2003), no. 2, 127–140.
(8) Sanjiv Kumar Gupta, Shobha Madan and U. B. Tewari, The conjugation operator on A_q(G). Proc. Amer. Math. Soc. 121 (1994), no. 1, 163–166.
(9) Aline Bonami and Shobha Madan, Balayage of Carleson measures and Hankel operators on generalized Hardy spaces. Math. Nachr. 153 (1991), 237–245.
(10) Shobha Madan, Une caractérisation de L^1 sur un groupe homogène par une fonction maximale. (French) [A maximal function characterization of L^1 on a homogeneous group] C. R. Acad. Sci. Paris Sér. I Math. 299 (1984), no. 13, 607–609.
(11) Shobha Madan, On the A-integrability of singular integral transforms. Ann. Inst. Fourier (Grenoble) 34 (1984), no. 2, 53–62.
(12) U. B. Tewari and Shobha Madan,  An harmonic analysis for operators: F. and M. Riesz theorems. Illinois J. Math. 28 (1984), no. 2, 286–298.
(13) Shobha Madan and Peter Sjogren, Poisson integrals of absolutely continuous and other measures. Math. Proc. Cambridge Philos. Soc. 95 (1984), no. 1, 141–147.