Operator theory and analytic function spaces form a rich interface between functional analysis, complex analysis and mathematical physics. At its core, operator theory studies linear maps on Hilbert ...

Real and complex functions both arise from the fundamental idea of mapping points in a domain to real or complex values, yet their theories display distinctive features. Real functions—mappings ...

To a nonmathematician, having the letter "i" represent a number that does not quite exist and is "imaginary" can be hard to wrap your head around. If you open your mind to this way of thinking, ...