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RT7.3. Finite Abelian Groups: Convolution

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Representation Theory: We define convolution of two functions on L^2(G) and note general properties. Three themes: convolution as an analogue of matrix multiplication, convolution with character as an orthogonal projection on L^2(G), and using using convolution to project onto irreducible types in representations.
RT7.3. Finite Abelian Groups: Convolution
RT7.2. Finite Abelian Groups: Fourier Analysis
RT8.3. Finite Groups: Projection to Irreducibles
Group Theory: Finite abelian groups
Group Theory: Finite abelian groups
RT8.2. Finite Groups: Classification of Irreducibles
Characters of finite abelian groups
Finitely Generated Abelian Groups and Similarity of Matrices over a Field
Math 139 Fourier Analysis Lecture 31: Fourier Analysis on Finite Abelian Groups
Arithmetic D-modules and locally analytic representations
Riemann and Abelian Functions • class 2 - Complex Functions
The Y.K. Dictionary - Convolution
Introduction to the Convolution
Finite Simple Group (The Asymptones at MIT CPW SGBIS 2011)
Group Duality
GACT 2016: Maxim Tryamkin - Differentiation of a convolution on the roto-translation group
RT6. Representations on Function Spaces
EEE132 - Electric Circuit Theory II: Convolution Example
Sampled signals: The effect of finite length on the Fourier Transform
Matrix Groups: Part 2
Jean-Yves Chemin - The Fourier transform on the Heisenberg group: A distribution of view
Lesson 13-Algebra-Volume 4-English
A Course on Fourier Analysis | Lecture -1| Prof. E.K Narayanan
Lesson 14-Algebra-Volume 4-English
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