The geometric theory

Editorial comment: The original version of this paper was posted on 2018-04-18. It was last updated on 2022-12-19.

Editorial comments: This is an English translation of the first paper in this section, Об аналитическом виде геометрической теории автоморфных форм. The author would like readers to know that the translation is a little rough.

The first version was posted on 2020-06-03. This latest version was posted on 2022-12-19.