Quaternionic Hilbert Spaces and Slice Hyperholomorphic Functions

Explore the fascinating world of quaternionic analysis with Quaternionic Hilbert Spaces and Slice Hyperholomorphic Functions by Daniel Alpay. Published by Birkhauser Verlag AG in 2024, this comprehensive volume spans 348 pages and serves as an essential resource for mathematicians and researchers interested in advanced functional analysis.

This book delves into the development of Banach and Hilbert space counterparts within the framework of slice hyperholomorphic functions. The second part of the book is particularly noteworthy, featuring an in-depth examination of various function spaces, including Hardy spaces—extending into fractional cases—and the Fock space adapted for quaternions. Whether you're a seasoned expert or a curious learner, this text offers invaluable insights into the intricate relationships between these mathematical concepts.

Enhance your understanding of quaternionic spaces and their applications by adding this essential title to your collection today!