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dft_tools/doc/reference/python/green/transforms.rst

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.. index::
single: Transforming Green's functions
Fourier and Legendre to Matsubara transforms
============================================
Here are the different ways to transform Green's functions of one type into a different type.
Time to frequency
-----------------
The command ``Fourier`` (``InverseFourier``) allows you to initialize a block
Green's function defined in frequency (time) from a block Green's function defined
in time (frequency). Here's a simple example:
.. plot:: reference/python/green/fourier.py
:include-source:
:scale: 70
The same command can be used for real-time, real-frequency transformations.
Legendre to Matsubara
---------------------
The commands ``MatsubaraToLegendre`` and ``LegendreToMatsubara`` allow to
initialize a Matsubara Green's function (either in imaginary time or in
imaginary frequencies) from a Legendre Green's function and conversely.
Example:
.. plot:: reference/python/green/legendre.py
:include-source:
:scale: 70