Hilbert Space

A Hilbert space is a mathematical concept that represents a complete inner product space, allowing for the extension of linear algebra and calculus to infinite-dimensional spaces. In the tech community, Hilbert spaces are crucial in various research areas, including signal processing, machine learning, and quantum computing, as they provide a framework for analyzing and manipulating complex data and functions, enabling advancements in fields like image and audio processing, data analysis, and computational physics.