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Concept

Reproducing kernel Hilbert space

Related lectures (31)

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

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

Explores the postulates of Quantum Mechanics, focusing on states, time evolution, and measurement.

Explores thought experiments with polarisation qubits of photons and the concept of superposition in Hilbert space.

Covers the formulation and interpretation of mechanical effects of light.

Explores RKHS, positive definite kernels, and the Moore-Aronszajn theorem in kernel methods.

Covers fundamental concepts in quantum mechanics, including vector spaces, superposition, observables, and inner product.

Explores the incompleteness of Cc(RN, K) and the challenges of Riemann integrability.

Explores the addition of angular momenta in quantum mechanics and delves into Bell's Theorem.

Covers advanced topics in Quantum Field Theory, including representations of the Poincare group and the construction of unitary irreps.

Explains the postulates of quantum mechanics, including system description, evolution, measurement, composite systems, and examples with qubits.

Covers complete and orthonormal families in a Hilbert space, discussing unique projections and vector decomposition.

Covers conformal blocks and their significance in complex structures and moduli spaces.

Explores Hilbert space and its eigen functions in mathematical operations.

Covers the definition and properties of Hilbert spaces, including the Cauchy-Schwarz inequality and norm definition.

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.

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