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Showing 1 to 3 of 3 for “"Generalized Fourier Series"”.
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Notes on generalized Fourier series with application to gravitational field determination
… square integrable functions L². Let f𝜖L². The generalized Fourier series of f with respect to {(}φ<sub>n</sub>(x)} is the series ∑<sub>n=0</sub><sup>∞</sup> (f, φ<sub>n</sub>) φ<sub>n</sub>(x), where (f, φ<sub>n</sub>) is the inner product of the functions f an φ<sub>n</sub>. The e existence of …
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Characterizing Neurotransmitter Receptor Activation with a Perturbation Based Decomposition Method
… for this application, and compared to a generalized Fourier series approach. The resultant estimator is valid for decomposition of multiple-receptor compound postsynaptic potentials as well as single-receptor compound postsynaptic potentials. The estimator also yields a satisfactory …
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Discrete Sparse Fourier Hermite Approximations in High Dimensions
<p>In this dissertation, the discrete sparse Fourier Hermite approximation of a function in a specified Hilbert space of arbitrary dimension is defined, and theoretical error bounds of the numerically computed approximation are proven. Computing the Fourier Hermite approximation in high dimensions …