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In recent years, the interaction between harmonic analysis and convex geometry has increased which has resulted in solutions to several long-standing problems. This collection is based on the topics discussed during the Research Semester on Harmonic Analysis and Convexity at the Institute for Computational and Experimental Research in Mathematics in Providence RI in Fall 2022. The volume brings together experts working in related fields to report on the status of major problems in the area including the isomorphic Busemann-Petty and slicing problems for arbitrary measures, extremal problems for Fourier extension and extremal problems for classical singular integrals of martingale type, among others.

Harmonic analysis. --- harmonic analysis, convex geometry, geometric tomography, geometric properties, optimal algorithms,.

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The evolution of industrial development since the 18th century is now experiencing the fourth industrial revolution. The effect of the development has propagated into almost every sector of the industry. From inventory to the circular economy, the effectiveness of technology has been fruitful for industry. The recent trends in research, with new ideas and methodologies, are included in this book. Several new ideas and business strategies are developed in the area of the supply chain management, logistics, optimization, and forecasting for the improvement of the economy of the society and the environment. The proposed technologies and ideas are either novel or help modify several other new ideas. Different real life problems with different dimensions are discussed in the book so that readers may connect with the recent issues in society and industry. The collection of the articles provides a glimpse into the new research trends in technology, business, and the environment.

Supply chain management --- benchmarking --- simulation --- mathematical analytic tools and techniques --- system reliability --- Trade-credit financing --- order allocation --- decomposition principle --- efficiency and scatter plots --- sustainable healthcare system --- workplace stress --- optimization --- defective rate --- electric power distribution --- newsvendor --- inspection --- energy --- air quality --- triangular fuzzy number --- quality control --- supplier selection --- multi-stage production system --- robustness --- offline inspection --- workers’ efficiency --- transshipments --- imperfect products --- process imperfection --- Bayesian approach --- imperfect production --- inventory modelling and optimization --- information asymmetry --- supply chain management --- framework for agile distributed development --- human-based production system --- lead-time reduction --- staff absenteeism --- inventory control --- fuzzy analytical hierarchy process (FAHP) --- sustainable --- develop strategies --- fuzzy optimization --- preventive maintenance --- imperfect quality --- refrigerated trucks --- petrochemical industries --- economic order quantity (EOQ) --- defectives --- substitute and complimentary items --- production modelling --- stochastic-petri net modeling --- supply chain inventory --- defective products --- transport infrastructure --- data envelopment analysis --- advertisement --- e-commerce --- price discounts --- recurrent states --- variable demand --- machine breakdown --- industry 4.0 --- rough interval --- partial trade credit --- business performance --- mixed integer nonlinear programming --- fixed charge --- preservation technology investment --- repairable system --- multicriteria decision making (MCDM) --- managerial considerations and managerial decisions --- four-dimensional transportation problem --- time series analysis --- permissible delays in payments --- integer linear programming --- process mean --- backordering --- stochastic-price dependent demand --- controllable probabilistic deterioration rate --- budget constraint --- likelihood ratio test --- radio frequency identification --- rework --- supplier selection process --- deteriorating items --- smart production --- scheduling --- green data envelopment analysis (GDEA) --- Cash discounts --- learning behavior --- imperfect manufacturing system --- inspection cost --- airborne particulate matter --- reworking --- fuzzy demand --- optimal algorithms --- distributed development --- sustainability --- distribution-free approach --- decision support systems --- evolutionary algorithm --- backorder --- inspection errors --- waste reduction --- resilient supply chain --- space constraint --- hybrid manufacturing- remanufacturing strategy --- edible oil --- complementary products --- CLSC management --- carbon emission --- change point detection --- revenue sharing --- production --- random defective rate --- pricing policy --- agile development --- inventory --- mathematical solution procedure --- reliability threshold --- outgoing quality --- disruption risks --- multi-objective --- strict quasi-concavity --- optimized limits --- uncertain information --- full trade credit --- customer acquisition cost --- Lean manufacturing --- imperfect repair --- substitutable products --- dynamic job-shop scheduling --- patient’s queue --- application program interfaces in agile distributed projects --- internet of things --- deterioration --- O2O channel --- targeting model --- lean manufacturing --- multidimensional scaling --- technical and super-efficiencies --- pricing