Some Notes About Distribution Frame Multipliers

Corso, Rosario; Tschinke, Francesco

doi:10.1007/978-3-030-56005-8_6

Cited by 5 publications

(4 citation statements)

References 33 publications

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“…In molecular imaging, biological processes in living systems can be observed, analyzed, and measured at the molecular by imaging modalities such as ultrasound, magnetic resonance imaging (MRI), positron emission tomography (PET), and single photon emission computed tomography (SPECT) [ 53 , 54 , 55 , 56 , 57 ]. PET and SPECT are sophisticated imaging modalities utilized to visualize biological processes at the molecular level [ 58 , 59 , 60 , 61 ]. PET is more sensitive while SPECT is more widely available, less expensive, and has better imaging properties than PET [ 62 ].…”

Section: Introductionmentioning

confidence: 99%

A Review of Advances in Molecular Imaging of Rheumatoid Arthritis: From In Vitro to Clinic Applications Using Radiolabeled Targeting Vectors with Technetium-99m

Ali,

Benfante,

Di Raimondo

et al. 2024

Life

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Rheumatoid arthritis (RA) is a systemic autoimmune disorder caused by inflammation of cartilaginous diarthrodial joints that destroys joints and cartilage, resulting in synovitis and pannus formation. Timely detection and effective management of RA are pivotal for mitigating inflammatory arthritis consequences, potentially influencing disease progression. Nuclear medicine using radiolabeled targeted vectors presents a promising avenue for RA diagnosis and response to treatment assessment. Radiopharmaceutical such as technetium-99m (99mTc), combined with single photon emission computed tomography (SPECT) combined with CT (SPECT/CT), introduces a more refined diagnostic approach, enhancing accuracy through precise anatomical localization, representing a notable advancement in hybrid molecular imaging for RA evaluation. This comprehensive review discusses existing research, encompassing in vitro, in vivo, and clinical studies to explore the application of 99mTc radiolabeled targeting vectors with SPECT imaging for RA diagnosis. The purpose of this review is to highlight the potential of this strategy to enhance patient outcomes by improving the early detection and management of RA.

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Section: Introductionmentioning

confidence: 99%

A Review of Advances in Molecular Imaging of Rheumatoid Arthritis: From In Vitro to Clinic Applications Using Radiolabeled Targeting Vectors with Technetium-99m

Ali,

Benfante,

Di Raimondo

et al. 2024

Life

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“…Bessel multipliers, as introduced in [2], are operators in a Hilbert space which have been extensively studied [5,11,24,25], occur in various fields of applications [4,14,21] and include the class of frame multipliers [9,10,12,19,22]. Recently, in [10], given a frame multiplier some regions of the complex plane containing the spectrum have been identified.…”

Section: Introductionmentioning

confidence: 99%

Estimate of the spectral radii of Bessel multipliers and consequences

Corso

2023

Constructive Mathematical Analysis

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Bessel multipliers are operators defined from two Bessel sequences of elements of a Hilbert space and a complex sequence, and have frame multipliers as particular cases. In this paper an estimate of the spectral radius of a Bessel multiplier is provided involving the cross Gram operator of the two sequences. As an upshot, it is possible to individuate some regions of the complex plane where the spectrum of a multiplier of dual frames is contained.

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“…is called the Bessel multiplier of ϕ, ψ with symbol m. Correspondent versions of Bessel multipliers have been studied also in continuous and distributional contexts (see [3,10,23]). A Bessel multiplier M m,ϕ,ψ is called a frame multiplier if ϕ and ψ are frames.…”

Section: Introductionmentioning

confidence: 99%

Localization of the spectra of dual frames multipliers

Corso

2022

Constructive Mathematical Analysis

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This paper concerns dual frames multipliers, i.e. operators in Hilbert spaces consisting of analysis, multiplication and synthesis processes, where the analysis and the synthesis are made by two dual frames, respectively. The goal of the paper is to give some results about the localization of the spectra of dual frames multipliers, i.e. to identify regions of the complex plane containing the spectra using some information about the frames and the symbols.

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Some Notes About Distribution Frame Multipliers

Cited by 5 publications

References 33 publications

A Review of Advances in Molecular Imaging of Rheumatoid Arthritis: From In Vitro to Clinic Applications Using Radiolabeled Targeting Vectors with Technetium-99m

A Review of Advances in Molecular Imaging of Rheumatoid Arthritis: From In Vitro to Clinic Applications Using Radiolabeled Targeting Vectors with Technetium-99m

Estimate of the spectral radii of Bessel multipliers and consequences

Localization of the spectra of dual frames multipliers

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