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We employ a classical idea of Ehrenpreis, together with a new algebraic result, to give a new proof that regular functions of several quaternionic variables cannot have compact singularities. As a… (More)

- Alberto Damiano, Irene Sabadini, Daniele C. Struppa
- Experimental Mathematics
- 2007

This paper presents some algorithmic techniques to compute explicitly the noetherian operators associated to a class of ideals and modules over a polynomial ring. The procedures we include in this… (More)

- Yakir Aharonov, Fabrizio Colombo, Sandu Popescu, Irene Sabadini, Daniele C. Struppa, Jeff Tollaksen
- Proceedings of the National Academy of Sciences…
- 2016

The pigeonhole principle: "If you put three pigeons in two pigeonholes, at least two of the pigeons end up in the same hole," is an obvious yet fundamental principle of nature as it captures the very… (More)

In this paper we develop a functional calculus for bounded operators defined on quaternionic Banach spaces. This calculus is based on the notion of slice-regularity, see [4], and the key tools are a… (More)

- Yakir Aharonov, Eliahu Cohen, +4 authors Jeff Tollaksen
- Proceedings of the National Academy of Sciences…
- 2017

Feynman stated that the double-slit experiment "…has in it the heart of quantum mechanics. In reality, it contains the only mystery" and that "nobody can give you a deeper explanation of this… (More)

The quaternionic spectral theorem has already been considered in the literature, see e.g. [22], [31], [32], however, except for the finite dimensional case in which the notion of spectrum is… (More)

- Irene Sabadini, Frank Sommen, Daniele C. Struppa
- Experimental Mathematics
- 2003

- Irene Sabadini
- 2003

This note is inspired by a lecture given during the school “Li ason theory and related topics” and contains a summary of the results in [ 15] about the connectedness of the Hilbert scheme of curves… (More)

- VARIABLEW. W. ADAMS, Carlos Alberto Berenstein, Philippe Loustaunau, Irene Sabadini, D. C. STRUPPAAbstract
- 1995

We prove that regular functions of one quaternionic variable which satisfy a large class of diierential equations cannot have compact singularities. This result is equivalent to the fact that a large… (More)

In this paper we introduce and study rational slice monogenic functions. After proving a decomposition theorem for such functions, we are able to prove the Runge approximation theorem for slice… (More)