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20212026
most citedA polyanalytic functional calculus of order 2 on the S-spectrum

3 citations · 4 across the 6 of their papers we have counts for

collaborators

6 papers

math.FA2026

On the application of the factorized Fueter-Sce map to the slice hyperholomorphic Cauchy kernel

Antonino De Martino, Stefano Pinton

The Fueter-Sce theorem is one of the most important results in hypercomplex analysis, providing a two-step procedure for constructing axially monogenic functions starting from holo…

math.SP20231 cited

The fine structure of the spectral theory on the -spectrum in dimension five

Fabrizio Colombo, Antonino De Martino, Stefano Pinton +1

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…

math.FA20223 cited

A polyanalytic functional calculus of order 2 on the S-spectrum

Antonino De Martino, Stefano Pinton

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 , denoted by $ \math…

math.CV2021

Generalized Appell polynomials and Fueter-Bargmann transforms in the polyanalytic setting

Antonino De Martino, Kamal Diki

Tnis paper deals with some special integral transforms in the setting of quaternionic valued slice polyanalytic functions. In particular, using the polyanalytic Fueter mappings it…

math.CV2021

The Poisson kernel and the Fourier transform of the slice monogenic Cauchy kernels

Fabrizio Colombo, Antonino De Martino, Tao Qian +1

The Fueter-Sce-Qian (FSQ for short) mapping theorem is a two-steps procedure to extend holomorphic functions of one complex variable to slice monogenic functions and to monogenic f…

math.CV2021

The -resolvent equation and Riesz projectors for the -functional calculus

Fabrizio Colombo, Antonino De Martino, Irene Sabadini

The Fueter-Sce-Qian mapping theorem is a two steps procedure to extend holomorphic functions of one complex variable to quaternionic or Clifford algebra-valued functions in the ker…