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Path components of the space of (weighted) composition operators on Bergman spaces
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Optimal codes in the Enomoto-Katona space
Published 2014“…Coding in a new metric space, called the Enomoto-Katona space, has recently been considered in connection with the study of implication structures of functional dependencies and their generalizations in relational databases. …”
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Existence of well-filterifications of T₀ topological spaces
Published 2022“…We prove that for every T0 space X, there is a well-filtered space W(X) and a continuous mapping ηX:X⟶W(X), such that for any well-filtered space Y and any continuous mapping f:X⟶Y there is a unique continuous mapping fˆ:W(X)⟶Y such that f=fˆ∘ηX. …”
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Computability of Polish spaces up to homeomorphism
Published 2022“…As an application, we show that there is a Polish space not homeomorphic to a computable one. We apply our techniques to build, for any computable ordinal, an effectively closed set not homeomorphic to any -computable Polish space; this answers a question of Nies. …”
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Exciton-polariton oscillations in real space
Published 2017“…The phase and polarization of oscillations can be controlled by resonant coherent pulses and the propagation of oscillating domains gives rise to phase-dependent interference patterns in real space. We show that interbranch polariton-polariton scattering controls the propagation of oscillating domains, which can be used to realize logic gates based on an analog variable phase.…”
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Geometry of quantum correlations in space-time
Published 2018“…The traditional formalism of nonrelativistic quantum theory allows the state of a quantum system to extend across space, but only restricts it to a single instant in time, leading to distinction between theoretical treatments of spatial and temporal quantum correlations. …”
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Rhaly operators on small weighted hardy spaces
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Composition operators on Hilbert spaces of entire functions
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Differential distributed Cayley space-time codes
Published 2009“…We consider a wireless relay network with no channel information, which implements differential distributed space-time coding. We propose a coding strategy based on Cayley codes, which yields high data rate codes available for an arbitrary number of relay nodes.…”
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Extending polar spaces of rank at least 3
Published 2013“…It is shown that the extended polar space for the sporadic Fischer group Fi22 is the only extended polar space which has more than two extended planes on a block and is not isomorphic to a quotient of an affine polar space over GF(2). …”
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On the variance of average distance of subsets in the Hamming space
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14
Differences of weighted composition operators between the Fock spaces
Published 2019Subjects: “…Fock Space…”
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Turing degrees in Polish spaces and decomposability of Borel functions
Published 2022“…We give a partial answer to an important open problem in descriptive set theory, the Decomposability Conjecture for Borel functions on an analytic subset of a Polish space to a separable metrizable space. Our techniques employ deep results from effective descriptive set theory and recursion theory. …”
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Complex symmetry of weighted composition operators on the Fock space
Published 2015Subjects: “…Fock space…”
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Weighted composition operators between different fock spaces
Published 2019Subjects: “…Fock Space…”
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Higher dimensional perfect space-time coded modulation
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Conference Paper -
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Composition operators on Hilbert spaces of entire Dirichlet series
Published 2013“…In this Note, we introduce Hilbert spaces of entire Dirichlet series (with real frequencies) and consider composition operators on these spaces. …”
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Complex symmetric weighted composition operators on H...
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Journal Article