2 papers
math.PR2026
Fractional Wiener chaos: Part 2. Interface spectral chaos
Elena Boguslavskaya, Elina Shishkina
We construct a product spectral decomposition from power-normalised parabolic-cylinder functions. At noninteger real orders, these functions are not square integrable with respect…
math.FA2026
Construction of Reproducing Kernel Hilbert Spaces Associated with the Laplace--Bessel Operator
Elina Shishkina
Motivated by applications to the study of problems for partial differential equations with Bessel operator, we introduce a new reproducing kernel Hilbert spaces (RKHS) which is fra…