#integral-transforms

44. Integral Transforms, Operational Calculus

This volume studies integral transforms as tools for solving equations, analyzing signals, and transforming problems into more tractable forms. It emphasizes both theoretical properties and computational methods. Part I. Foundations Chapter 1. Integral Transforms 1.1 Definitions and examples 1.2 Kernel functions 1.3 Linearity and basic properties 1.4 Inversion problems 1.5 Applications overview Chapter 2. Operational Calculus 2.1 Algebraic manipulation of operators 2.2 Differential operators 2.3 Integral operators 2.4 Symbolic methods...