3 papers
math.CO2025
The discrete Laplace asymptotic method and its application to the 3XOR satisfiability problem
Jared A. Hughes, J. William Helton, Peter Schlosser
A standard way to calculate the asymptotic behavior of integrals of the form \int_Wg(x)e^{-nh(x)}dx is the (continuous) Laplace asymptotic method. However, also discrete sums like…
math.SP2025
Quadratic estimates for the -functional calculus of bisectorial Clifford operators
Fabrizio Colombo, Francesco Mantovani, Peter Schlosser
The -functional calculus is a two-step procedure, introduced by A. McIntosh, that allows the definition of functions of sectorial operators in Banach spaces. It plays a c…
math.SP2025
The -functional calculus for right slice hyperholomorphic functions and right linear Clifford operators
Fabrizio Colombo, Francesco Mantovani, Peter Schlosser
In 2016, the spectral theory on the -spectrum was used to establish the -functional calculus for quaternionic or Clifford operators. This calculus applies for example…