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Frobenius inner product
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Quaternion Algebra and Hermite Space
Covers quaternion algebra, Waldspurger formula, and Hermite space in relation to L-functions and inner products.
Conformal Field Theory: Generators and Commutation Relations
Covers the definition of generators of the conformal group and the application of Wick's theorem.
The space of bandlimited functions
Explores the space of bandlimited functions, focusing on 1-bandlimited functions as a basis and their representation through sequences.
Matricizations and Alternating Least Squares
Covers matricizations, ALS method, and tensor decomposition, emphasizing the alignment of fibers in matrices.
Dirac's Notation, Tensor Product
Covers Dirac's notation in linear algebra and the tensor product concept in Hilbert spaces.
Quantum Physics I
Covers state vectors, Dirac notation, eigen-kets, and Hermitian operators in quantum physics.
Singular Value Decomposition: Theory and Applications
Explores Singular Value Decomposition theory, properties, uniqueness, matrix approximation, and dimensionality reduction applications.
Linear Algebra in Dirac Notation
Covers linear algebra in Dirac notation, focusing on vector spaces and quantum bits.
Orthogonal Bases, Orthonormal/Orthonormalized Bases
Introduces orthogonal and orthonormal families in vector spaces with scalar products.
Signal spaces: Inner product, infinite-length signals, and completeness
Covers signal spaces, inner product, infinite-length signals, and completeness in vector spaces.