The Fourier Transform on the Group 
                
                  
                
                $$\mathrm {GL}_2({\mathbb R })$$
                
                  
                    
                      
                        GL
                        2
                      
                      
                        (
                        R
                        )
                      
                    
                  
                
               and the Action of the

Neretin, Yury A.

doi:10.1007/s00041-017-9589-8

Cited by 8 publications

(5 citation statements)

References 18 publications

(17 reference statements)

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“…The OTU rank distribution for each sample was fit to niche-based models (null, preemption, log-normal, Zip f, and Mandelbrot) using the 'radfit' command in R [52], and neutral model (zero-sum model-ZSM) using TeTame v.2.1 [53] using the same OTU table used to construct the phylogenetic tree. The Akaike Information Criterion (AIC) was used to assess the relative quality of each model, and the model that had the lowest AIC value was considered the best fit model for the data [54,55].…”

Section: Statistical Analysesmentioning

confidence: 99%

Plant Compartments and Developmental Stages Modulate the Balance between Niche-Based and Neutral Processes in Soybean Microbiome

et al. 2021

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Understanding the dynamics of plant-associated microbial communities within agriculture is well documented. However, the ecological processes that assemble the plant microbiome are not well understood. This study elucidates the relative dominance of assembly processes across plant compartments (root, stem, and leaves) and developmental stages (emergence, growth, flowering, and maturation). Bacterial community composition and assembly processes were assessed using 16S rRNA gene amplicon sequencing. Null models that couple phylogenetic community composition and species distribution models were used to evaluate ecological assembly processes of bacterial communities. All models highlighted that the balance between the assembly process was modulated by compartments and developmental stages. Dispersal limitation dominated amongst the epiphytic communities and at the maturation stage. Homogeneous selection dominated assembly across plant compartments and developments stages. Overall, both sets of models were mostly in agreement in predicting the prevailing assembly processes. Our results show, for the first time, that even though niche-based processes dominate in the plant environment, the relative influence of dispersal limitation in community assembly is important.

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Section: Statistical Analysesmentioning

confidence: 99%

Plant Compartments and Developmental Stages Modulate the Balance between Niche-Based and Neutral Processes in Soybean Microbiome

et al. 2021

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“…We ran permutational analyses of variance (PERMANOVA) on rarefied data with the adonis2 function in the package vegan (v2.6-4) [51] with the distance metric set to Bray-Curtis. Marginal…”

Section: Discussionmentioning

confidence: 99%

Low salinity significantly alters the bacterial community of the marine foundation speciesSaccharina latissima(sugar kelp)

Schenk,

Wardrop,

Parfrey

2023

Preprint

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As climate change progresses, the intensity and variability of freshwater outflow into the ocean is predicted to increase. The resulting increase in low salinity events will be a source of stress forSaccharina latissima(sugar kelp) and potentiallySaccharina’sassociated bacterial community. Bacteria are important to the health of their host because host-associated bacteria can facilitate or hinder host survival in stressful abiotic conditions. Therefore, understanding how bacteria change under abiotic stress is critical to our understanding of how host physiology will be affected by abiotic stress. In this study, sampled the bacterial community associated withSaccharinaand the surrounding environment across two years of field sampling at four sites with contrasting salinity profiles around Vancouver, Canada during the 2021 and 2022 spring freshet (562 samples) coupled with salinity manipulation experiments in the lab repeated eight times in 2022, concurrently with field sampling (269 samples). Our illumina data show that salinity is a significant factor in shaping the overall bacterial community ofSaccharina. We find significant increases in bacterial community diversity and paired with a significant reduction in the relative abundance of core bacteria in low salinity across lab and field data. Our findings suggest that host-filtering is significantly impaired in low salinity, raising questions surrounding how resilient some existingSaccharinapopulations may be to more intense and more variable freshwater influx.

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“…The question under the discussion was formulated in [31]. Several problems of this kind were solved [31], [19]- [21], [32], [34]. In all the cases we get differentialdifference operators including shifts in imaginary direction.…”

Section: Difference Operators In Imaginary Directionmentioning

confidence: 99%

“…Operational calculus for GL(2, R), see [34], 2017. Denote by Gr 2 4 the Grassmannian of all 2-dimensional linear subspaces in R 4 .…”

mentioning

confidence: 99%

After Plancherel Formula

Neretin

2019

Trends in Mathematics

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We discuss two topics related to Fourier transforms on Lie groups and on homogeneous spaces: the operational calculus and the Gelfand-Gindikin problem (program) about separation of non-uniform spectra. Our purpose is to indicate some non-solved problems of non-commutative harmonic analysis that definitely are solvable. This is a sketch of my talks on VI School "Geometry and Physics", Bia lowieża, Poland, June 2017.

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The Fourier Transform on the Group $$\mathrm {GL}_2({\mathbb R })$$ GL 2 ( R ) and the Action of the

Cited by 8 publications

References 18 publications

Plant Compartments and Developmental Stages Modulate the Balance between Niche-Based and Neutral Processes in Soybean Microbiome

Plant Compartments and Developmental Stages Modulate the Balance between Niche-Based and Neutral Processes in Soybean Microbiome

Low salinity significantly alters the bacterial community of the marine foundation speciesSaccharina latissima(sugar kelp)

After Plancherel Formula

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