The term "power series space" refers to a specific mathematical concept. Synonyms for this term might include "space of analytic functions," "space of power series," or "space of holomorphic functions." Each of these terms describes the same type of mathematical space, which is made up of functions that can be represented as infinite power series expansions. These functions are typically defined on some domain in the complex plane, and they are often used in calculus, analysis, and other areas of mathematics. Other related terms might include "Laurent series space," which refers to a space of functions that can be represented as power series with both positive and negative exponents.