Sobolev Spaces and Unitary Groups

Related lectures (31)

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Covers the proof of Friedrichs extension theorem and the properties of the spectrum and resolvent map.

Explores the theory of bounded operators on Hilbert space, including adjoint properties and self-adjointness.

Covers rolling kinematics, kinetic energy, and gyroscopic motion in detail.

Explores complex numbers, operations, absolute value, and polar form, along with the analysis and graphic representation of complex numbers.

Provides an overview of analysis and algebra courses, focusing on real numbers, limits, functions, and exams.

Explains the properties of subsets of real numbers, including Supremum, Infimum, intervals, open sets, and closed sets.

Explores angular momentum, kinetic energy, and dynamics of rotating solid objects, focusing on rolling without slipping.

Explores the theoretical aspects of the hydrogen-like atom in quantum mechanics.

Explores the quantum effective action, its role in perturbation theory, and the organization of correlators in momentum space.

Explores the position representation and momentum operators in quantum physics.