The Volterra series is an extension of the linear convolution integral.
2.
The creep strain is given by the following convolution integral:
3.
And the time-invariance property allows that combination to be represented by the convolution integral.
4.
The convolution integral ( or summation ) above extends over all time : T ( or N ) must be set to infinity.
5.
Since in the medium there is a dispersion we can not neglect, the relationship between the electric field and its polarization is given by a convolution integral.
6.
By discretization of this continuous convolution integral it can be shown that by sufficiently dense sampling in phase space the corresponding functions will span a frame for the Hilbert space.
7.
To investigate fully the consequences of these ripples it is advisable to consider each situation individually, either by evaluating convolution integrals, or more conveniently, by means of FFTs.
8.
With these two assumptions, i . e ., that the PSF is shift-invariant " and " that there is no distortion, calculating the image plane convolution integral is a straightforward process.
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