Search Results - "Sabadini, I."

Superoscillating Sequences and Supershifts for Families of Generalized Functions by Colombo, F., Sabadini, I., Struppa, D. C., Yger, A.

“…We construct a large class of superoscillating sequences, more generally of F - supershifts , where F is a family of smooth functions in ( t ,  x ) (resp…”
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The General Theory of Superoscillations and Supershifts in Several Variables by Colombo, F., Pinton, S., Sabadini, I., Struppa, D. C.

“…In this paper we describe a general method to generate superoscillatory functions of several variables starting from a superoscillating sequence of one…”
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Continuity theorems for a class of convolution operators and applications to superoscillations by Aoki, T., Colombo, F., Sabadini, I., Struppa, D. C.

“…We prove a new theorem on the continuity of convolution operators with variable coefficients, and we use it to deduce that the limit of a superoscillating…”
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Approximation by polynomials in Bergman spaces of slice regular functions in the unit ball by Gal, S. G., Sabadini, I.

“…In this paper, we show that the set of quaternionic polynomials is dense in the Bergman spaces of slice regular functions in the unit ball, both of the first…”
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Approximation by polynomials on quaternionic compact sets by Gal, S. G., Sabadini, I.

“…In this paper, we obtain several extensions to the quaternionic setting of some results concerning the approximation by polynomials of functions continuous on…”
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Continuity of some operators arising in the theory of superoscillations by Aoki, T., Colombo, F., Sabadini, I., Struppa, D. C.

“…The study of superoscillations naturally leads to the analysis of a large class of convolution operators acting on spaces of entire functions. In particular,…”
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Aharonov–Berry superoscillations in the radial harmonic oscillator potential by Alpay, D., Colombo, F., Sabadini, I., Struppa, D. C.

“…In this paper, we study the evolutions of Aharonov–Berry superoscillations under the radial harmonic oscillator potential. For this model, we know the Green…”
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Superoscillating Sequences in Several Variables by Aharonov, Y., Colombo, F., Sabadini, I., Struppa, D. C., Tollaksen, J.

“…In a series of papers (J Phys A 44:365304, 2011 ; Complex Anal Oper Theory 7:1299–1310, 2013 ; J Math Pures Appl 99:165–173, 2013 ; J Math Pures Appl…”
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Analyticity and supershift with irregular sampling by Colombo, F., Sabadini, I., Struppa, D. C., Yger, A.

“…The notion of supershift generalizes that one of superoscillation and expresses the fact that the sampling of a function in an interval allows to compute the…”
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On superoscillations and supershifts in several variables by Aharonov, Y., Colombo, F., Jordan, A. N., Sabadini, I., Shushi, T., Struppa, D. C., Tollaksen, J.

“…The aim of this paper is to study a class of superoscillatory functions in several variables, removing some restrictions on the functions that we introduced in…”
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Total Differentiability and Monogenicity for Functions in Algebras of Order 4 by Sabadini, I., Struppa, D. C.

“…In this paper we discuss some notions of analyticity in associative algebras with unit. We also recall some basic tool in algebraic analysis and we use them to…”
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Superoscillation phenomena in SO(3) by Aharonov, Y., Colombo, F., Nussinov, S., Sabadini, I., Struppa, D. C., Tollaksen, J.

“…We prove a new asymptotic formula for the Wigner d-functions, as a consequence of the discovery of superoscillatory behaviour in SO(3)…”
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Evolution of Superoscillations in the Klein-Gordon Field by Aharonov, Y., Colombo, F., Sabadini, I., Struppa, D. C., Tollaksen, J.

“…Superoscillating functions are band-limited functions that can oscillate faster than their fastest Fourier component. There is nowadays a large literature on…”
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Classes of superoscillating functions by Aharonov, Y., Sabadini, I., Tollaksen, J., Yger, A.

“…In this paper, we describe how the study of longevity of superoscillating functions has developed over the last several years. Specifically, we show how the…”
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On some notions of convergence for n-tuples of operators by Alpay, Daniel, Colombo, F., Sabadini, I.

“…The aim of this paper is to show that we can extend the notion of convergence in the norm‐resolvent sense to the case of several unbounded noncommuting…”
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Infinite-order Differential Operators Acting on Entire Hyperholomorphic Functions by Alpay, D., Colombo, F., Pinton, S., Sabadini, I., Struppa, D. C.

“…Infinite-order differential operators appear in different fields of mathematics and physics and in the past decade they turned out to be of fundamental…”
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Bicomplex hyperfunctions by Colombo, F., Sabadini, I., Struppa, D. C., Vajiac, A., Vajiac, M.

“…In this paper, we consider bicomplex holomorphic functions of several variables in .We use the sheaf of these functions to define and study hyperfunctions as…”
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A representation of Weyl–Heisenberg Lie algebra in the quaternionic setting by Muraleetharan, B., Thirulogasanthar, K., Sabadini, I.

“…Using a left multiplication defined on a right quaternionic Hilbert space, linear self-adjoint momentum operators on a right quaternionic Hilbert space are…”
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On the generating functions and special functions associated with superoscillations by Colombo, F., Krausshar, R.S., Sabadini, I., Simsek, Y.

“…The aim of this paper is to study generating functions for the coefficients of the classical superoscillatory function associated with weak measurements. We…”
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Nuclearity and Grothendieck-Lidskii formula for quaternionic operators by Cerejeiras, P., Colombo, F., Debernardi Pinos, A., Kähler, U., Sabadini, I.

“…We introduce an appropriate notion of trace in the setting of quaternionic linear operators, arising from the well-known companion matrices. We then use this…”
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