Explore a conference talk on the topic of $H^{\infty}$-calculus and square functions on Banach spaces, presented as part of the thematic meeting "Harmonic analysis techniques for elliptic operators" at the Centre International de Rencontres Mathématiques in Marseille, France. Delve into this 1-hour and 13-minute recording to gain insights into advanced mathematical concepts. Access the video through CIRM's Audiovisual Mathematics Library, which offers enhanced features such as chapter markers, keywords, abstracts, bibliographies, and Mathematics Subject Classification. Utilize the multi-criteria search function to find related content by author, title, tags, or mathematical area. Benefit from the expertise of worldwide mathematicians and expand your understanding of complex mathematical topics in this comprehensive presentation.