Reproducing kernel Hilbert space

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Covers the quantization of topological operators and Ising models on square lattices.

Explores optimal transport and gradient flows in Rd, emphasizing convergence and the role of Lipschitz and Picard-Lindelöf theorems.

Explores Sobolev spaces in higher dimensions, discussing derivatives, properties, and challenges with continuity.

Introduces Hilbert space as a big place where quantum systems evolve with unitaries.

Covers the representation of signals in vector spaces and inner product spaces, including the Projection Theorem.

Covers the axioms of quantum mechanics and the measurement of quantities in a quantum system.

Covers the applications of Segal's Conformal Field Theory in Hilbert spaces.

Covers the principles of quantum physics, focusing on tensor product spaces and entangled vectors.

Covers abstract variational problems in Hilbert spaces, focusing on boundedness, continuity, and coercivity.

Covers z Variable as a Delay Operator, realizable systems, probability theory, stochastic processes, and Hilbert Spaces.