A New Class of Analysis-Based Fast Transforms: With applications to classical integral transforms and special function expansions

Michael O'Neil presents a groundbreaking exploration of fast transforms that significantly enhance the efficiency of analyzing and applying various linear operators. This innovative framework is designed to streamline complex computations, making it easier for researchers and practitioners to grapple with classical integral transforms and special function expansions. The author's insights and methodologies promise to reshape conventional practices within the field.

Readers will find a wealth of applications demonstrated throughout the text, showcasing the practical implications of these fast transforms in real-world scenarios. O'Neil's meticulous approach not only elaborates on the theoretical underpinnings but also emphasizes the transformative potential of these techniques in advancing analytical methods. This book serves as a vital resource for anyone aiming to deepen their understanding of numerical analysis and its applications in contemporary mathematics.