Embedding in Function SpacesExplores embedding in function spaces, including elliptic equations, Hölder inequality, Lorentz space, and Hardy-Young inequality.
Quantum States and OperatorsCovers the description of states in quantum mechanics and their relation to probability, expectation values, and the Schrödinger equation.
Dual Space and Weak ConvergenceExplores the dual space of a Hilbert space and weak convergence, focusing on orthonormal bases and separable Hilbert spaces.
Signal RepresentationsCovers the representation of signals in vector spaces and inner product spaces, including the Projection Theorem.
