## 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… Expand

## 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… Expand

## 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… Expand

## 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… Expand

## 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… Expand

## 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… Expand

## 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… Expand

## 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… Expand

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