| 1 |
Some Prerequisites |
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| 2 |
Elements of Banach Algebras |
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| 3 |
Banach *-algebras and C*-algebras |
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| 4 |
Topological Groups |
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| 5 |
Locally Compact Groups |
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| 6 |
Homogeneous Spaces |
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| 7 |
Haar Measure |
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| 8 |
Haar Measure of Some Classical Groups |
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| 9 |
Modular Function |
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| 10 |
Unimodular Groups |
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| 11 |
Left and Right Uniformity of a Group |
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| 12 |
Convolution of Functions |
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| 13 |
Convolution Group Algebra L^1(G) |
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| 14 |
Convolution of Measures |
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| 15 |
Measure Algebra M(G) |
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| 16 |
Left and Right Uniformly Continuity |
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| 17 |
LUC(G) and RUC(G) |
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| 18 |
Representation of Groups |
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| 19 |
Representation of Group Algebra |
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| 20 |
Locally Compact Abelian Groups |
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| 21 |
Characters and Dual Group |
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| 22 |
Fourier Transform |
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| 23 |
Representation of Abelian Groups |
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| 24 |
Plancherel Theorem |
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| 25 |
Pontryagin duality Theorem |
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| 26 |
Group C^*-algebra C^*(G) |
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| 27 |
Fourier Algebra A(G) |
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| 28 |
Group Von Neumann Algebra VN(G) |
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| 29 |
Fourier–Stieltjes Algebra B(G) |
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| 30 |
Non Commutative Harmonic Analysis |
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| 31 |
Harmonic Analysis on Compact Groups |
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| 32 |
Miscellaneous |
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