Scholarlink

The purpose is to bring the hidden geometric structure of “frequencies” into light. We investigate the geometric structure of “extended frequencies.” The “extended frequencies” are “geometric algebra”-valued vector fields on surfaces. In this chapter is given a metric-geometrical interpretation of the generalized frequency by F. Milano in the framework. It is shown that the class of all the extended frequencies is a normed linear space on which the orthogonal group acts isometrically, and thus the class of all generalized frequencies of Milano is interpreted as an orthogonal geometry.

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Orthogonal Geometry on Generalized Frequencies

  • 章节

  • 发表日期：

    2025年

查看全文
  • Yuichi Hasegawa,
  • Kota Horizumi

摘要

The purpose is to bring the hidden geometric structure of “frequencies” into light. We investigate the geometric structure of “extended frequencies.” The “extended frequencies” are “geometric algebra”-valued vector fields on surfaces. In this chapter is given a metric-geometrical interpretation of the generalized frequency by F. Milano in the framework. It is shown that the class of all the extended frequencies is a normed linear space on which the orthogonal group acts isometrically, and thus the class of all generalized frequencies of Milano is interpreted as an orthogonal geometry.