A Gaussian function, a specific kind of function whose graph is a bell-shaped curve
What initially began as a sort of tall, broad, bell curve-shaped ridge (in the faciolingual dimension) eventually becomes a short, narrow, stumpy sort of what doesn't even appear to be a ridge.
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In 1952 Ennio de Giorgi presented his first results, developing the ideas of Caccioppoli, on the definition of the measure of boundaries of sets at the Salzburg Congress of the Austrian Mathematical Society: he obtained this results by using a smoothing operator, analogous to a mollifier, constructed from the Gaussian function, independently proving some results of Caccioppoli.
Because of the multiplication-convolution property (Convolution theorem), the Fourier transform of a Gabor filter's impulse response is the convolution of the Fourier transform of the harmonic function and the Fourier transform of the Gaussian function.