Francis Hirsch Knihy

The book delves into the mathematical concepts of peacocks and martingales, emphasizing their significance in finance. It employs diverse techniques, including time inversion and Skorokhod embeddings, to analyze these phenomena, providing a comprehensive exploration of their applications and implications within mathematical finance.

This book presents the fundamental function spaces and their duals, explores operator theory and finally develops the theory of distributions up to significant applications such as Sobolev spaces and Dirichlet problems. Includes an assortment of well formulated exercises, with answers and hints collected at the end of the book.