On the analytic functions
Abstract
Let be a connected bounded domain on the complex plane, S be its boundary, which is closed, star-shaped, C1-smooth, and H() is the set of analytic (holomorphic) in functions. The aim of this paper is to prove that an arbitrary f∈ L1(S), satisfying the condition ∫Sf(s)ds=0, can be boundary value of an f∈ H().
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.