# Saida Sultanic's research while affiliated with Sarajevo School of Science and Technology and other places

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## Publications (5)

The cross-modal interaction between vision and other senses is a key part of how we perceive the real world. Significant stimulation to hearing, sense of smell, taste or touch can reduce the cognitive resources the brain is able to allocate to sight, and thus limit what the Human Visual System (HVS) can actually perceive at that moment. Selective r...

This note presents a commutant lifting theorem (CLT) of Agler type for the annulus A. Here the relevant set of test functions are the minimal inner functions on A-those analytic functions on A which are unimodular on the boundary and have exactly two zeros in A-and the model space is determined by a distinguished member of the Sarason family of ker...

This note presents a commutant lifting theorem (CLT) with initial data a finite set of (test) functions and a compatible reproducing
kernel k on a set X. This covers the CLT of Ball, Li, Timotin, and Trent [9] for the polydisc, but in general no analyticity is required, rather
statements and proofs use the language and techniques of reproducing ker...

In this paper we analyze sub-Bergman Hilbert spaces in the unit disk associated with finite Blaschke products. We also analyze their analogues in weighted Bergman spaces.

The central question of this paper is the one of finding the right analogue of the Commutant Lifting Theorem for the Bergman
space La2. We also analyze the analogous problem for weighted Bergman spaces La,α2, −1 < α < ∞.

## Citations

... As a result of these efforts, we introduce a "Traces in VEs" framework, including all established dimensions and relationships to be considered when designing with traces. We purposefully differentiate "Traces in VEs" from traces of use to indicate it as a design concept to create meaningful and social VEs, in which selected traces of use are applied a) to support a certain (i.e., social) atmosphere and b) serve as indicators for activities and interactions, which are not necessarily related to wornoff material qualities [63] such as visualized common gaze points [60]. To evaluate the framework in practice and to explore the traces' effects in social VEs, we also present the results of two lab studies: The first, between-subject pre-study (n = 20) targeted the comparison between the perception and interpretation of PE versus VE traces by replicating a PE in a VE and letting each user experience one of these environments. ...

... in the Bergman space over D. The reproducing kernel Hilbert space induced by the kernel (1.2) is called a sub-Bergman Hilbert space (see also Abkar-Jafarzadeh [1], Ball-Bolotnikov [3], Chu [5], Nowak-Rososzczuk [11] and 2 S. Kuwahara and M. Seto Sultanic [15]). Further, powers of the de Branges-Rovnyak kernel ...

Reference: Exponentials of de Branges-Rovnyak kernels

... Note that Q diag (z) is the special case of this where each d k = 1. One can also see the ideas of [2] as influencing the test-function approach of Dritschel-McCullough and collaborators, originating in [36,37] with followup work in [59,39,50,22]. ...

... When r = q, this Hilbert function space is known as the Hardy space on A q denoted by H 2 (A q ) and the reproducing kernel S A q (·, ·) := S A q (·, ·; q) is called the Szegő kernel of A q [60,68]. The kernel (1.4) with a parameter r > 0 is considered as a weighted Szegő kernel of A q [61] and H 2 r (A q ) is the reproducing kernel Hilbert space (RKHS) [3] with respect to S A q (·, ·; r ) [56,57]. We call r the weight parameter in this paper. ...