=======
abelian
=======

A Python library for locally compact Abelian (LCA) groups.

.. note::

    This software is being built, and is not ready to be used yet.

Project Goals
==============

* Classical groups :math:`\mathbb{R}`, :math:`\mathbb{T}`, :math:`\mathbb{Z}` and :math:`\mathbb{Z}_n` and computations on these.
* Relationship between continuous and discrete should be 'pretty'.
* FFT computations on discrete, compact groups (and their products),
  e.g. :math:`\mathbb{Z}_{n_{1}} \oplus \mathbb{Z}_{n_{2}} \oplus \dots \oplus \mathbb{Z}_{n_{r}}`.
* The software should build on the mathematical theory.


Todo
============

* Create skeleton for project
* Factorizations of homomorphisms between FGAs (tests, docs, implementation)



Software specification
===========

.. include:: autodoc_overview.rst

Contents
========

.. toctree::
   :maxdepth: 2

   License <license>
   Authors <authors>
   Module Reference <api/modules>
   Abelian <api/abelian>


Indices and tables
==================

* :ref:`genindex`
* :ref:`modindex`
* :ref:`search`