Fabrizio Colombo
- The spectral theorem for quaternionic unbounded normal operators based on the S-spectrum
2014/09/24 by Daniel Alpay, Fabrizio Colombo, Alpay, Daniel +3 · 3 citations
Engineering · Mathematics · #Advanced Topics in Algebra #Algebraic and Geometric Analysis #FOS: Mathematics #Geophysics and Sensor Technology #Mathematical Analysis and Transform Methods #Spectral Theory (math.SP)
- Self-mappings of the quaternionic unit ball: multiplier properties, Schwarz-Pick inequality, and Nevanlinna--Pick interpolation problem
2013/08/12 by Daniel Alpay, Alpay, Daniel, Vladimir Bolotnikov +5 · 1 citation
Mathematics · #30E05 #30G35 #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Mathematics and Applications
- Wiener algebra for the quaternions
2015/01/12 by Daniel Alpay, Alpay, Daniel, Fabrizio Colombo +5 · 1 citation
Mathematics · #13J05 #47B35 #47S #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Mathematical Analysis and Transform Methods
- Entire slice regular functions
2015/12/14 by Fabrizio Colombo, Irene Sabadini, Colombo, Fabrizio +3 · 1 citation
Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Mathematics and Applications
- An introduction to hyperholomorphic spectral theories and fractional\n powers of vector operators
2020/11/21 by Fabrizio Colombo, Colombo, Fabrizio, Jonathan Gantner +3 · 1 citation
Mathematics · #Algebraic and Geometric Analysis #Mathematical Analysis and Transform Methods #Mathematics and Applications
- The spectral theorem for normal operators on a Clifford module
2021/12/09 by Fabrizio Colombo, David P. Kimsey, Colombo, Fabrizio +1 · 1 citation
Mathematics · #47A10 #47A60 #Algebraic and Geometric Analysis #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics
- The fine structure of the spectral theory on the S-spectrum in dimension five
2023/03/01 by Fabrizio Colombo, Colombo, Fabrizio, Antonino De Martino +5 · 1 citation
Mathematics · #Advanced Topics in Algebra #Algebraic and Geometric Analysis #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Spectral Theory (math.SP)
- Analyticity and supershift with regular sampling
2023/10/17 by Fabrizio Colombo, Irene Sabadini, Colombo, F. +5 · 1 citation
Computer Science · Mathematics · #Complex Variables (math.CV) #Computability, Logic, AI Algorithms #FOS: Mathematics #Mathematical Dynamics and Fractals #Mathematical and Theoretical Analysis
- Nuclearity and Grothendieck-Lidskii formula for quaternionic operators
2023/06/25 by Paula Cerejeiras, Cerejeiras, Paula, Fabrizio Colombo +7 · 1 citation
Mathematics · Physics and Astronomy · #46S05 #47S05 (Primary) 47B10 (Secondary) #Advanced Topics in Algebra #Algebraic and Geometric Analysis #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Noncommutative and Quantum Gravity Theories
- Analyticity, superoscillations and supershifts in several variables
2024/03/10 by Fabrizio Colombo, Colombo, F., Irene Sabadini +5 · 1 citation
Physics and Astronomy · #Complex Variables (math.CV) #FOS: Mathematics #Quantum chaos and dynamical systems
- Spectral properties of the gradient operator with nonconstant coefficients
2024/04/27 by Fabrizio Colombo, Colombo, Fabrizio, Francesco Mantovani +3 · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Differential Equations and Boundary Problems #FOS: Mathematics #Functional Analysis (math.FA) #Numerical methods in inverse problems
- Octonionic monogenic and slice monogenic Hardy and Bergman spaces
2023/11/13 by Fabrizio Colombo, Rolf Soeren Krausshar, Colombo, Fabrizio +3 · 1 citation
Mathematics · #17D05 #30G35 #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory
- Superoscillations and Fock spaces
2023/04/23 by Daniel Alpay, Fabrizio Colombo, Alpay, Daniel +7 · 1 citation
Physics and Astronomy · Mathematics · #Nonlinear Waves and Solitons #Mathematical Analysis and Transform Methods #Mathematical functions and polynomials
- Fractional (1)/(2)-Laplacian of holomorphic functions via Jacobi polynomials
2026/07/24 by Fabrizio Colombo, Antonino De Martino, Alberto Debernardi Pinos
#math.FA #math.CV