On the clifford short-time fourier transform and its properties
- A. Martino
- MathematicsApplied Mathematics and Computation
- 16 November 2021
On the polyanalytic short-time Fourier transform in the quaternionic setting
- A. Martino, K. Diki
- MathematicsCommunications on Pure and Applied Analysis
- 9 October 2021
In this paper, we consider a quaternionic short-time Fourier transform (QSTFT) with normalized Hermite functions as windows. It turns out that such a transform is based on the recent theory of slice…
The Poisson kernel and the Fourier transform of the slice monogenic Cauchy kernels
- F. Colombo, A. Martino, Tao Qian, I. Sabadini
- MathematicsJournal of Mathematical Analysis and Applications
- 9 December 2021
A Lorenz Model for Almost Compressible Fluids
- A. Martino, A. Passerini
- PhysicsMediterranean Journal of Mathematics
- 21 November 2019
Starting from the almost compressible 2-D Oberbeck–Boussi nesq system, characterized by an extra buoyancy term which is pressure-dependent, we write the corresponding Lorenz system and observe a…
On Brolin's theorem over the quaternions
- C. Bisi, A. Martino
- MathematicsIndiana University Mathematics Journal
- 22 March 2020
In this paper we investigate the Brolin's theorem over $\mathbb{H}$, the skew field of quaternions. Moreover, considering a quaternionic polynomial $p$ with real coefficients, we focus on the…
The F -Resolvent Equation and Riesz Projectors for the F -Functional Calculus
- F. Colombo, A. Martino, I. Sabadini
- Mathematics
- 2023
The Fueter-Sce-Qian mapping theorem gives a constructive way to extend holomorphic functions of one complex variable to slice hyperholomorphic functions. By means of the Cauchy formula for slice…
The fine structure of the spectral theory on the $S$-spectrum in dimension five
- F. Colombo, A. Martino, S. Pinton, I. Sabadini
- Mathematics
- 1 March 2023
Holomorphic functions play a crucial role in operator theory and the Cauchy formula is a very important tool to define functions of operators. The Fueter-Sce-Qian extension theorem is a two steps…
A polyanalytic functional calculus of order 2 on the S-spectrum
- A. Martino, S. Pinton
- Mathematics
- 19 July 2022
. The Fueter theorem provides a two step procedure to build an axially monogenic function, i.e. a null-solutions of the Cauchy-Riemann operator in R 4 , denoted by D . In the first step a holomorphic…
Properties of a polyanalytic functional calculus on the $S$-spectrum
- A. Martino, S. Pinton
- Mathematics
- 17 November 2022
. The Fueter mapping theorem gives a constructive way to extend holomorphic functions of one complex variable to monogenic functions, i.e., null solutions of the generalized Cauchy-Riemann operator…
COMPACTNESS OF LOCALIZATION OPERATORS ON MODULATION SPACES OF ω-TEMPERED DISTRIBUTIONS
- A. Martino
- Mathematics
- 2019
We give sufficient conditions for compactness of localization operators on modulation spaces M mλ(R ) of ω-tempered distributions whose short-time Fourier transform is in the weighted mixed space L…
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