  Convolution with Green's function of a differential operator appears in a lot
of applications e.g. Lippmann-Schwinger integral equation. Algorithms for
computing such are usually non-trivial and require non-uniform mesh. However,
recently Vico, Greengard and Ferrando developed method for computing
convolution with smooth functions with compact support with spectral accuracy,
requiring nothing more than Fast Fourier Transform (FFT). Their approach is
very suitable for the low-rank tensor implementation which we develop using
Quantized Tensor Train (QTT) decomposition.
