Prashantt492: Creating course page via bot

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{{Infobox Course
| code = MTL750
| name = Harmonic Analysis and Its Applications
| credits = 3
| credit_structure = 3-0-0
| pre_requisites =
| overlaps =
}}

== MTL750 : Harmonic Analysis and Its Applications ==
Schauder bases in Banach spaces, Trigonometric system, Weak and weak* bases, Characterization of Schauder bases, duality of bases, perturbation of bases. Absolute and unconditional convergence of series in a Banach space, Unconditional bases, Characterization, Scahuder basis for C([0,1]) and it's unconditionality. Besel sequences and Riesz bases in Hilbert spaces, Frames in a Hilbert space, Frame operator, Characterizations of frames, Frame series and its convergence. Fourier transform of L^1 functions on R, convolution of L^1 functions and its Fourier transform, Plancherel theorem. Band limited functions, Sampling theorem, Frames of translates, Time- frequency shifts, Painless nonorthogonal expansions, Nyquest density, Necessary conditions for frame bounds, Wiener amalgam spaces, Zak transform, Gabor systems at the critical density, Balian-low theorem. Wavelet frames, Frame bounds, Admissibility criteria.

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