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Week
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Topics
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Study Metarials
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1
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L_{p} spaces
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K1) Lecture notes
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2
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Schwartz space
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K1) Lecture notes
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3
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Definition of Fourier transform
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K1) Lecture notes
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4
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Fourier transforms of the sine and cosine function
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K1) Lecture notes
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5
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Continuity and differential properties of the Fourier transform
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K1) Lecture notes
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6
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Differential properties of the Fourier transform
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K1) Lecture notes
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7
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Riemann-Lebesgue theorems
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K1) Lecture notes
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8
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Essential properties of direct Fourier transforms in the L_{1} space
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K1) Lecture notes
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9
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Essential properties of inverse Fourier transforms in the L_{1} space
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K1) Lecture notes
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10
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Essential properties of direct and inverse Fourier transforms in the L_{1} space
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K1) Lecture notes
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11
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Plancherel theory in the L_{2} space
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K1) Lecture notes
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12
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Generalized functions
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K1) Lecture notes
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13
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Generalized functions and their Fourier transform.
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K1) Lecture notes
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14
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Properties of generalized functions and their Fourier transform.
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K1) Lecture notes
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