Lectures related to Eisenstein Series: Decomposition and Unitarizability

Explores Gram-Schmidt process, orthogonal projection, QR factorization, and least squares solutions for linear systems.

Explores orthogonal bases in vector spaces, explaining unique vector representations and spectral decomposition.

Covers the Gram-Schmidt orthogonalization process and vector projections in a vector space.

Covers the Factorisation QR theorem and the Gram-Schmidt method for orthonormal bases.

Covers the goals and motivations of representation theory, focusing on associative algebras and homomorphisms.