71 citations · 363 across the 78 of their papers we have counts for
4 papers · 1 filter
New boundaries for positive definite functions
Palle Jorgensen, Feng Tian
With view to applications in stochastic analysis and geometry, we introduce a new correspondence for positive definite kernels (p.d.) and their associated reproducing kernel Hi…
Laplace operators in finite energy and dissipation spaces
Sergey Bezuglyi, Palle E. T. Jorgensen
Recent applications of large network models to machine learning, and to neural network suggest a need for a systematic study of the general correspondence, (i) discrete vs (ii) con…
Superposition, reduction of multivariable problems, and approximation
Palle Jorgensen, Feng Tian
We study reduction schemes for functions of "many" variables into system of functions in one variable. Our setting includes infinite-dimensions. Following Cybenko-Kolmogorov, the o…
Ola Bratteli and his diagrams
Tone Bratteli, Trond Digernes, George Elliott +6
This article discusses the life and work of Professor Ola Bratteli (1946--2015). Family, fellow students, his advisor, colleagues and coworkers review aspects of his life and his o…