10 citations · 37 across the 45 of their papers we have counts for
6 papers · 1 filter
Generalized -Fock spaces and structural identities
Daniel Alpay, Paula Cerejeiras, Uwe Kaehler +1
Using -calculus we study a family of reproducing kernel Hilbert spaces which interpolate between the Hardy space and the Fock space. We give characterizations of these spaces in…
Similarity metrics, metrics, and conditionally negative definite functions
Daniel Alpay, Liora Mayats-Alpay
Similarity metric which is not positive definite, and present a general theorem which provides a large family of similarity metrics which are positive definite.
The Bicomplex-Real Calculus and Applications to Bicomplex Hermite-Itô Polynomials
Daniel Alpay, Kamal Diki, Mihaela Vajiac
In this paper we extend notions of complex C-R-calculus and complex Hermite polynomials to the bicomplex setting and compare the bicomplex polyanalytic function theory to the class…
Betweenness of membership functions: classical case and hyperbolic-valued functions
Daniel Alpay, Liora Mayats-Alpay
We study betweenness of membership functions in the fuzzy setting and for membership functions taking values in the set of hyperbolic numbers.
The Bicomplex Tensor Product, a Bicomplex Choi Theorem and Applications
Daniel Alpay, Antonino De Martino, Kamal Diki +1
In this paper we extend the concept of tensor product to the bicomplex case and use it to prove the bicomplex counterpart of the classical Choi theorem in the theory of complex mat…
Superoscillations and Fock spaces
Daniel Alpay, Fabrizio Colombo, Kamal Diki +2
In this paper we use techniques in Fock spaces theory and compute how the Segal-Bargmann transform acts on special wave functions obtained by multiplying superoscillating sequences…