Beurling’s Theorem and $L^p$−$L^q$ Morgan’s Theorem for Step Two Nilpotent Lie Groups

Sanjay Parui; Rudra P. Sarkar

doi:10.2977/prims/1231263778

JournalsprimsVol. 44, No. 4pp. 1027–1056

Beurling’s Theorem and $L^{p}$ − $L^{q}$ Morgan’s Theorem for Step Two Nilpotent Lie Groups

Sanjay Parui
Indian Statistical Institute, Kolkata, India
Rudra P. Sarkar
Indian Statistical Institute, Kolkata, India

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Abstract

We prove Beurling’s theorem and $L^{p}$ − $L^{q}$ Morgan’s theorem for step two nilpotent Lie groups. These two theorems together imply a group of uncertainty theorems.

Cite this article

Sanjay Parui, Rudra P. Sarkar, Beurling’s Theorem and $L^{p}$ − $L^{q}$ Morgan’s Theorem for Step Two Nilpotent Lie Groups. Publ. Res. Inst. Math. Sci. 44 (2008), no. 4, pp. 1027–1056

DOI 10.2977/PRIMS/1231263778