APPROXIMATION AND ORTHOGONALITY: FROM THEORY TO APPLICATIONS

Operation co-funded by EU cohesion policy (European Regional Development Fund (ERDF)) under the programme Multi-regional Spain - ERDF (2014ES16RFOP002), managing authority: Subdirección General de Gestión del FEDER, de la Dirección General de Fondos Europeos del Ministerio de Hacienda.. The source names no beneficiary for this operation. Location: Almería Province (NUTS ES611); Spain. Budget: total eligible expenditure EUR 77,198; EU co-financing EUR 61,758.402, as stated by the source. Runs 2015-01-01 to 2018-12-31. Source: Kohesio, EU cohesion policy projects managed by national and regional authorities (not CORDIS); selected because its summary names quantum technology. Summary from Kohesio (English machine translation by the source): THIS PROJECT COMBINES AMBITIOUS OBJECTIVES IN BASIC RESEARCH ON ORTHOGONAL POLYNOMIALS, SPECIAL FUNCTIONS AND THEIR ANALYTICAL AND STRUCTURAL PROPERTIES, WITH THE APPLICATIONS OF THIS KNOWLEDGE IN OTHER BRANCHES OF MATHEMATICS (STOCASTIC PROCESSES, COMBINATORIAL, NUMERIC ANALYSIS), PHYSICS (STATISTICAL PHYSICS, INTEGRABLE SYSTEMS, QUANTUM MECHANICS, RANDOM PATHS, QUANTUM COMPUTATION) AND TECHNOLOGY (PROCESSING OF SIGNALS AND DIAGNOSTIC TOOLS IN OPHTHALMOLOGY, WITH CLINICAL APPLICATIONS). Some OF THE PROBLEMS TO BE ARE: 1. FURTHER CONTRIBUTIONS TO THE GENERAL THEORY OF ORTHOGONAL POLYNOMIALS (PO) AND RATIONAL APPROXIMATION, INCLUDING THE DEVELOPMENT OF RIEMANN-HILBERT’S ASYMPTOTIC ANALYSIS AND ITS APPLICATIONS TO THE STUDY OF CRITICAL PHENOMENA RELATED TO SPECIAL NONLINEAR FUNCTIONS OR SINGULARITIES THAT APPEAR IN THE DESCRIPTION OF THE ELECTRONIC STRUCTURE OF GRAPHENE. Asymptotic analysis of polynomials with orthogonality NOT STANDING (SOBOLEV, Hermite-PADE, Wronskians) AND NEW METHODS FOR THE STUDY OF PO ON CIRCUNFERENCE UNITY. 2. DEVELOPMENT OF ELECTROSTATIC MODELS OF ZEROS OF VARIOUS KINDS OF POLYNOMIALS AND ANALYSIS OF EXTREME PROBLEMS IN THE THEORY OF LOGARITHMIC POTENTIAL. In PARTICULAR, POINTS OF FUNCIONAL SILLA OF ENERGY IN THE PLANAL, RELATED WITH ASSESSMENTS OF THE GEOMETRIC TEORY OF NON-LINEAL FUNCTIONS AND FENOMENS, ALL AS THE LAPLACIAN GREEN. 3. Applications OF TOOLS RECIENTLY DEVELOPED TO THE STUDY OF MULTIPARTICUL DIFUSION PROCESSES AND random MATRICES, YOUR POSSIBLE PASE transitions, as well as deepening in the Classical MARKOV PROCESSES OF NEW VIEW POINTS. 4. Development of the approach based on quantum hierarchies (CAC), initiated by the members of this team, in the middle of the Schur functions as a tool for the study of the DINAMIC and the topology phases in CAC, with applications to the QUANTICAL COMPUTATION. 5. Extension OF CIERTS CONNECTIONS BETWEEN bispectral PROBLEMS, INTEGRABLE SYSTEMS, Darboux TRANSFORMATIONS AND WORKING PROCESSING TO [shortened; the full text is on the Kohesio page]

Original source.

Source: Kohesio (EU cohesion policy projects), European Commission, Directorate-General for Regional and Urban Policy (DG REGIO). Retrieved 2026-10-21. Licence: CC0 1.0 (Cohesion Open Data Platform, dataset 2014-2020 Kohesio projects). Selected metadata, adapted presentation; the publisher's record is authoritative. No endorsement by the source is implied. Licence: public domain dedication (CC0 1.0).

AI-assisted summary: The project focuses on research of orthogonal polynomials and their applications in mathematics, physics, and technology, including quantum mechanics and quantum computation. It is co-funded by the EU and runs from 2015 to 2018 in Almería Province, Spain. Suggested technology pillar: enabling. Generated by AI from the public source text; it may contain errors and the original source is authoritative.