Evolution Processes and the Feynman-Kac Formula

Central to this work is the exploration of integration theory in vector spaces, closely linked to the representation of evolutions through functional integrals. While the book reflects the philosophical influence of Professor Kluvanek, it diverges from what his direct contributions might have shaped. The Feynman-Kac formula serves as a foundational concept, extending beyond its traditional use to suggest new mathematical structures, inspired by the role of path integrals in quantum physics. The focus remains on theoretical insights rather than practical applications.