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On R-Duals and the Duality Principle in Gabor Analysis [PDF]

open access: yesJournal of Fourier Analysis and Applications, 2014
The concept of R-duals of a frame was introduced by Casazza, Kutyniok and Lammers in 2004, with the motivation to obtain a general version of the duality principle in Gabor analysis.
Diana T Stoeva, Ole Christensen
exaly   +3 more sources

Entanglement entropy vs. free energy in IIB supergravity duals for 5d SCFTs [PDF]

open access: yesJournal of High Energy Physics, 2017
We study entanglement entropy and the free energy in recently constructed holographic duals for 5d SCFTs in type IIB supergravity. The solutions exhibit mild singularities, which could potentially complicate holographic applications.
Michael Gutperle   +3 more
doaj   +4 more sources

Duality of Continuous K-g-Frames [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2023
K-g-frames, as an extension of g-frames and K-frames are one of the active fields in frame theory. In this paper, we  consider continuous K-g-frames which are a generalization of discrete K-g-frames.
Atefe Razghandi, Ali Akbar Arefijamaal
doaj   +1 more source

Approximate Duals of $g$-frames and Fusion Frames in Hilbert $C^ast-$modules [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2019
In this paper, we study approximate duals of $g$-frames and fusion frames in Hilbert $C^ast-$modules. We get some relations between approximate duals of $g$-frames and biorthogonal Bessel sequences, and using these relations, some results for approximate
Morteza Mirzaee Azandaryani
doaj   +1 more source

A New Paranormed Sequence Space Defined by Regular Bell Matrix

open access: yesDera Natung Government College Research Journal, 2023
This paper aims to construct a new paranormed sequence space by the aid of a regular matrix of Bell numbers. As well, its special duals such as α−,β−,γ−  duals are presented and Schauder basis is determined.
Murat Karakaş, Muhammet Cihat Dağlı
doaj   +1 more source

Duals of Some Constructed $*$-Frames by Equivalent $*$-Frames [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2019
Hilbert frames theory have been extended to frames in Hilbert $C^*$-modules. The paper introduces equivalent $*$-frames and presents ordinary duals of a constructed $*$-frame by an adjointable and invertible operator.
Azadeh Alijani
doaj   +1 more source

Similar generalized frames [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2018
Generalized frames are an extension of frames in Hilbert  spaces and  Hilbert $C^*$-modules. In this paper, the concept ''Similar" for modular $g$-frames is introduced and all of operator duals (ordinary duals) of similar $g$-frames with respect to each ...
Azadeh Alijani
doaj   +1 more source

On various Riesz-dual sequences for Schauder frames

open access: yesHeliyon, 2020
In this paper, we introduce various definitions of R-duals, to be called R-duals of type I, II, which leads to a generalization of the duality principle in Banach spaces.
Ali Reza Neisi, Mohammad Sadegh Asgari
doaj   +1 more source

Gravity duals of quantum distances

open access: yesJournal of High Energy Physics, 2021
This paper provides a holographic approach to compute some most-frequently used quantum distances and quasi-distances in strongly coupling systems and conformal field theories.
Run-Qiu Yang
doaj   +1 more source

Unveiling mapping structures of spinor duals

open access: yesEuropean Physical Journal C: Particles and Fields, 2020
Following the program of investigation of alternative spinor duals potentially applicable to fermions beyond the standard model, we demonstrate explicitly the existence of several well defined spinor duals.
R. T. Cavalcanti, J. M. Hoff da Silva
doaj   +1 more source

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