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Sidon sets in bounded orthonormal systemsGilles Pisier Texas A&M University and IMJ-UPMC The mathematical legacy of UFFE HAAGERUP Copenhagen, June 2016 Gilles Pisier

The Fourier Transform • Introduction • Orthonormal bases for Rn – Inner product – Length – Orthogonality – Change of basis – Matrix transpose • Complex vectors…

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Orthonormal wavelet bases In the last set of lecture notes we developed the Haar wavelet basis for decomposing continuous-time signals xt ∈ L2R: xt = ∞∑ n=−∞ s0nφ0nt…

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V 6 5 4 3 2 1 0 V 6 5 4 3 2 1 0 The wavefunctions of the Simple Harmonic Oscillator are Orthonormal Orthonormal wavefunctions ∫ + ∞ - ∞ ψv” ψv’ dτ = δv” v’…

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If i, j, k are orthonormal vectors and A = Axi + Ay j + Azk then A2 = A2x + A2y + A2z . Orthonormal vectors ≡ orthogonal unit vectors. Scalar product A · B = A B cosθ…

If i, j, k are orthonormal vectors and A = Axi + Ay j + Azk then A2 = A2x + A2y + A2z . Orthonormal vectors ≡ orthogonal unit vectors. Scalar product A · B = A B cosθ…

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