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Covers Plancherel's identity and the solution of the free Schrödinger equation with initial data in Schwartz space.
Ground State Energy: Harmonic Oscillator and Perturbation
Covers the ground state and energy of harmonic oscillators and perturbations by bounded potentials.
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Covers fundamental matrix operations and their applications in solving linear equations.
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Explores density results in Sobolev spaces, emphasizing their applications and proof techniques.
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Covers a review of past exams on distributed algorithms, focusing on key concepts such as Terminating Reliable Broadcast, Consensus, and Leader Election.
Abelianization of Fundamental Group
Explores abelianization examples, homomorphisms, and isomorphisms in group theory.
Spectral Theory: Friedrichs Extension Theorem
Covers the proof of Friedrichs extension theorem and the properties of the spectrum and resolvent map.
Whittaker Model: Properties and Analytic Continuation
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