# Noncommutative analysis, Multivariable spectral theory for operators in Hilbert space, Probability, and Unitary Representations

@article{Jorgensen2014NoncommutativeAM, title={Noncommutative analysis, Multivariable spectral theory for operators in Hilbert space, Probability, and Unitary Representations}, author={Palle E. T. Jorgensen and Feng Tian}, journal={arXiv: Functional Analysis}, year={2014} }

Over the decades, Functional Analysis has been enriched and inspired on account of demands from neighboring fields, within mathematics, harmonic analysis (wavelets and signal processing), numerical analysis (finite element methods, discretization), PDEs (diffusion equations, scattering theory), representation theory; iterated function systems (fractals, Julia sets, chaotic dynamical systems), ergodic theory, operator algebras, and many more. And neighboring areas, probability/statistics (for… CONTINUE READING

2 Citations

Infinite-dimensional Lie Algebras, Representations, Hermitian Duality and the Operators of Stochastic Calculus

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