Uniqueness of the Fourier transform on the Euclidean spaces and certain locally compact Lie groups

Giri, Deb Kumar2018-06-012023-10-202018-06-012023-10-202018ROLL NO.136123005https://gyan.iitg.ac.in/handle/123456789/978Supervisor: Rajesh K. SrivastavaWe explored the Heisenberg uniqueness pairs corresponding to the spiral, hyperbola, circle, cross, exponential curves, and surfaces. Then, we prove a characterization of the Heisenberg uniqueness pairs corresponding to four parallel lines. We observe that the size of the determining sets for X depends on the number of lines and their irregular distribution that further relates to a phenomenon of interlacing of the zero sets of certain trigonometric polynomials.enMATHEMATICSUniqueness of the Fourier transform on the Euclidean spaces and certain locally compact Lie groupsThesis