Alëksis Arendt https://aleksis.dev Notes on measure theory, functional analysis, and geometry. en Tue, 26 May 2026 01:21:08 GMT <![CDATA[Picard-Lindelöf Theorem]]> https://aleksis.dev/blog/6-picard https://aleksis.dev/blog/6-picard Mon, 07 Apr 2025 00:00:00 GMT <![CDATA[Fatou's Lemma and applications]]> https://aleksis.dev/blog/4-fatou https://aleksis.dev/blog/4-fatou Mon, 07 Apr 2025 00:00:00 GMT <![CDATA[Linear Transformations and the Scaling of Lebesgue Measure]]> https://aleksis.dev/blog/3-lebesgue_invariant https://aleksis.dev/blog/3-lebesgue_invariant Sun, 06 Apr 2025 00:00:00 GMT <![CDATA[Surface area and volume of a sphere in finite Euclidean space]]> https://aleksis.dev/blog/2-unit_sphere_volume https://aleksis.dev/blog/2-unit_sphere_volume Sun, 06 Apr 2025 00:00:00 GMT <![CDATA[Proof of the Arzelà–Ascoli Theorem]]> https://aleksis.dev/blog/1-arzela_ascoli https://aleksis.dev/blog/1-arzela_ascoli Sat, 05 Apr 2025 00:00:00 GMT <![CDATA[Vitali Covering Theorem]]> https://aleksis.dev/blog/5-vitali_covering https://aleksis.dev/blog/5-vitali_covering Fri, 04 Apr 2025 00:00:00 GMT