Integral Transforms, Reproducing Kernels and Their Applications

This book provides a thorough examination of reproducing kernels and integral transforms, highlighting their applications in Hilbert spaces. Integral Transforms, Reproducing Kernels and Their Applications is an essential resource.

The book Integral Transforms, Reproducing Kernels and Their Applications offers a comprehensive exploration of the theory surrounding reproducing kernels, particularly in relation to integral transforms within the context of Hilbert spaces. It serves as a self-contained resource, making it accessible to readers who may be new to the subject while still providing depth for more experienced scholars. Through detailed explanations and examples, the author illustrates the practical applications of these mathematical concepts.

In this work, various concrete results are presented, showcasing the use of integral transforms for deriving isometrical identities and inversion formulas. The text emphasizes the significance of these results in advancing the understanding of linear mappings in Hilbert spaces. By delving into the interplay between reproducing kernels and integral transforms, the book highlights how these mathematical tools can lead to new insights and methodologies.

Moreover, Integral Transforms, Reproducing Kernels and Their Applications addresses the natural solutions to Fredholm integral equations of the first kind, positioning itself as a valuable reference for both researchers and practitioners. The general theories discussed not only contribute to the existing body of knowledge but also inspire innovative approaches to solving complex problems in mathematical analysis and applied mathematics.