Q3179191 (Q3179191): Difference between revisions
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(Changed an Item: Edited by the materialized bot - inferring region from the coordinates) |
(Created claim: summary (P836): THE OBJECTIVE OF THIS PROJECT IS TO INVESTIGATE ANALYTIC PROPERTIES OF ORTHOGONAL POLYNOMIALS WITH RESPECT TO VARIOUS ORTHOGONALITY MODELS, AS WELL AS THEIR APPLICATIONS IN MATHEMATICAL PHYSICS (MODELS AND APPLICATIONS IN WHICH THE TEAMS THAT CONFIGURE THE PROJECT HAVE EXTENSIVE AND PROVEN EXPERIENCE): MATRIX ORTHOGONALITY: WITH RESPECT TO A MATRIX OF POSITIVE DEFINED MEASUREMENTS ON THE ACTUAL LINE; (B) ORTHOGONALITY IN SEVERAL VARIABLES AND SO...) |
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THE OBJECTIVE OF THIS PROJECT IS TO INVESTIGATE ANALYTIC PROPERTIES OF ORTHOGONAL POLYNOMIALS WITH RESPECT TO VARIOUS ORTHOGONALITY MODELS, AS WELL AS THEIR APPLICATIONS IN MATHEMATICAL PHYSICS (MODELS AND APPLICATIONS IN WHICH THE TEAMS THAT CONFIGURE THE PROJECT HAVE EXTENSIVE AND PROVEN EXPERIENCE): MATRIX ORTHOGONALITY: WITH RESPECT TO A MATRIX OF POSITIVE DEFINED MEASUREMENTS ON THE ACTUAL LINE; (B) ORTHOGONALITY IN SEVERAL VARIABLES AND SOBOLEV: IN THE LATTER CASE, THOSE DERIVED FROM THE POLYNOMIALS AFFECTED WITH WEIGHTS ARE INVOLVED; (C) ORTHOGONALITY WITH RESPECT TO MEASUREMENTS SUPPORTED IN THE UNIT CIRCUMFERENCE AND ITS APPLICATIONS IN INTEGRABLE SYSTEMS; (D) ORTHOGONALITY WITH RESPECT TO VECTOR MEASURES AND THEIR APPLICATIONS IN THE IMPLEMENTATION OF HERMITE-PADE SIMULTANEOUS QUADRATURE AND CONVERGENCE FORMULAS; (E) EXCEPTIONAL AND BISPECTRAL ORTHOGONAL POLYNOMIALS, AND THE CONNECTIONS BETWEEN THEM AND WITH THE PHYSICAL PROBLEMS THAT MODEL DIFFERENTIAL OPERATORS AND IN DIFFERENCES FROM THOSE THAT ARE SELF-FUNCTIONS. OTHER RELATED FIELDS WILL ALSO BE CONSIDERED: RATIONAL APPROXIMATION (MAINLY APPROXIMATIONS OF PADE AND ITS EXTENSIONS), COMPUTATIONAL METHODS FOR SPECIAL FUNCTIONS RELEVANT IN PHYSICAL-MATHEMATICAL MODELS, NUMBER THEORY, FOURIER AND DIRICHLET SERIES. _x000D_ special RELEVANCY TEND APPLICATIONS IN MATEMATIC FISIC. ON THE ONE HAND, IN INTEGRABLE SYSTEMS, SINCE FLOWS, PARAMETERISED BY CONTINUOUS OR DISCRETE TIMES, CORRESPOND TO ORTHOGONAL POLYNOMIALS WITH RESPECT TO MEASURES SUBJECT TO DEFORMATION ACCORDING TO THESE TEMPORAL PARAMETERS. THEREFORE, THE TEMPORAL VARIATION OF THESE ORTHOGONAL POLYNOMIALS, THEIR COEFFICIENTS, THOSE OF THEIR RECURRENCES AND THEIR CHRISTOFFEL-DARBOUX NUCLEI WILL BE OF INTEREST, AS THEY GIVE US SOLUTIONS TO THESE INTEGRABLE NONLINEAR EQUATIONS. IN THIS PROJECT, CONNECTIONS WITH INTEGRABLE SYSTEMS WILL BE EXTENDED TO A LARGE PART OF THE WIDE RANGE OF ORTHOGONAL POLYNOMIAL TYPOLOGIES MENTIONED ABOVE, THUS ENRICHING THE TREATMENT AND PERSPECTIVE OF BOTH THEIR KNOWLEDGE AND THEIR APPLICATIONS. WE WILL ALSO STUDY THE APPLICATIONS OF EXCEPTIONAL ORTHOGONAL POLYNOMIALS TO THE MECHANICAL-QUANTIC MODELS THAT HAVE ASSOCIATES, WHOSE SPECTRUM AND SELF-FUNCTIONS CAN BE ACCURATELY CALCULATED USING THESE POLYNOMIALS. SPECIAL INTEREST WILL RECEIVE BISPECTRAL PROBLEMS FOR OPERATORS IN DIFFERENCES (AND Q-DIFFERENCES), GIVEN THE EQUIVALENCE OF THESE WITH DISCRETE EXCEPTIONAL POLYNOMIALS VIA THE DUALITY OF DISCRETE CLASSIC FAMILIES OF ORTHOGONAL POLYNOMIALS. _x000D_ the TECNICAS UTILISED SON, FUNDAMENTLY, OF MATRICIAL ANALISIS, POTENTIAL THEORY, FOURIER ANALISIS, OPERATOR’S THEORY, interpolation and COMPLED ANALISIS. OTHER SCIENTIFIC AND TECHNOLOGICAL APPLICATIONS THAT WILL ALSO BE EXPLORED RELATE TO PHYSICAL AND BIOLOGICAL SYSTEMS SUCH AS MACROMOLECULES AND MOLECULAR MOTORS, AS WELL AS FILTERING SIGNALS, DISCRETE MARKOV CHAINS WHERE INTERACTIONS ARE NOT REDUCED TO THE NEAREST NEIGHBORS, AND TIME AND BAND LIMITING PROBLEMS. (English) | |||||||||||||||
| Property / summary: THE OBJECTIVE OF THIS PROJECT IS TO INVESTIGATE ANALYTIC PROPERTIES OF ORTHOGONAL POLYNOMIALS WITH RESPECT TO VARIOUS ORTHOGONALITY MODELS, AS WELL AS THEIR APPLICATIONS IN MATHEMATICAL PHYSICS (MODELS AND APPLICATIONS IN WHICH THE TEAMS THAT CONFIGURE THE PROJECT HAVE EXTENSIVE AND PROVEN EXPERIENCE): MATRIX ORTHOGONALITY: WITH RESPECT TO A MATRIX OF POSITIVE DEFINED MEASUREMENTS ON THE ACTUAL LINE; (B) ORTHOGONALITY IN SEVERAL VARIABLES AND SOBOLEV: IN THE LATTER CASE, THOSE DERIVED FROM THE POLYNOMIALS AFFECTED WITH WEIGHTS ARE INVOLVED; (C) ORTHOGONALITY WITH RESPECT TO MEASUREMENTS SUPPORTED IN THE UNIT CIRCUMFERENCE AND ITS APPLICATIONS IN INTEGRABLE SYSTEMS; (D) ORTHOGONALITY WITH RESPECT TO VECTOR MEASURES AND THEIR APPLICATIONS IN THE IMPLEMENTATION OF HERMITE-PADE SIMULTANEOUS QUADRATURE AND CONVERGENCE FORMULAS; (E) EXCEPTIONAL AND BISPECTRAL ORTHOGONAL POLYNOMIALS, AND THE CONNECTIONS BETWEEN THEM AND WITH THE PHYSICAL PROBLEMS THAT MODEL DIFFERENTIAL OPERATORS AND IN DIFFERENCES FROM THOSE THAT ARE SELF-FUNCTIONS. OTHER RELATED FIELDS WILL ALSO BE CONSIDERED: RATIONAL APPROXIMATION (MAINLY APPROXIMATIONS OF PADE AND ITS EXTENSIONS), COMPUTATIONAL METHODS FOR SPECIAL FUNCTIONS RELEVANT IN PHYSICAL-MATHEMATICAL MODELS, NUMBER THEORY, FOURIER AND DIRICHLET SERIES. _x000D_ special RELEVANCY TEND APPLICATIONS IN MATEMATIC FISIC. ON THE ONE HAND, IN INTEGRABLE SYSTEMS, SINCE FLOWS, PARAMETERISED BY CONTINUOUS OR DISCRETE TIMES, CORRESPOND TO ORTHOGONAL POLYNOMIALS WITH RESPECT TO MEASURES SUBJECT TO DEFORMATION ACCORDING TO THESE TEMPORAL PARAMETERS. THEREFORE, THE TEMPORAL VARIATION OF THESE ORTHOGONAL POLYNOMIALS, THEIR COEFFICIENTS, THOSE OF THEIR RECURRENCES AND THEIR CHRISTOFFEL-DARBOUX NUCLEI WILL BE OF INTEREST, AS THEY GIVE US SOLUTIONS TO THESE INTEGRABLE NONLINEAR EQUATIONS. IN THIS PROJECT, CONNECTIONS WITH INTEGRABLE SYSTEMS WILL BE EXTENDED TO A LARGE PART OF THE WIDE RANGE OF ORTHOGONAL POLYNOMIAL TYPOLOGIES MENTIONED ABOVE, THUS ENRICHING THE TREATMENT AND PERSPECTIVE OF BOTH THEIR KNOWLEDGE AND THEIR APPLICATIONS. WE WILL ALSO STUDY THE APPLICATIONS OF EXCEPTIONAL ORTHOGONAL POLYNOMIALS TO THE MECHANICAL-QUANTIC MODELS THAT HAVE ASSOCIATES, WHOSE SPECTRUM AND SELF-FUNCTIONS CAN BE ACCURATELY CALCULATED USING THESE POLYNOMIALS. SPECIAL INTEREST WILL RECEIVE BISPECTRAL PROBLEMS FOR OPERATORS IN DIFFERENCES (AND Q-DIFFERENCES), GIVEN THE EQUIVALENCE OF THESE WITH DISCRETE EXCEPTIONAL POLYNOMIALS VIA THE DUALITY OF DISCRETE CLASSIC FAMILIES OF ORTHOGONAL POLYNOMIALS. _x000D_ the TECNICAS UTILISED SON, FUNDAMENTLY, OF MATRICIAL ANALISIS, POTENTIAL THEORY, FOURIER ANALISIS, OPERATOR’S THEORY, interpolation and COMPLED ANALISIS. OTHER SCIENTIFIC AND TECHNOLOGICAL APPLICATIONS THAT WILL ALSO BE EXPLORED RELATE TO PHYSICAL AND BIOLOGICAL SYSTEMS SUCH AS MACROMOLECULES AND MOLECULAR MOTORS, AS WELL AS FILTERING SIGNALS, DISCRETE MARKOV CHAINS WHERE INTERACTIONS ARE NOT REDUCED TO THE NEAREST NEIGHBORS, AND TIME AND BAND LIMITING PROBLEMS. (English) / rank | |||||||||||||||
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| Property / summary: THE OBJECTIVE OF THIS PROJECT IS TO INVESTIGATE ANALYTIC PROPERTIES OF ORTHOGONAL POLYNOMIALS WITH RESPECT TO VARIOUS ORTHOGONALITY MODELS, AS WELL AS THEIR APPLICATIONS IN MATHEMATICAL PHYSICS (MODELS AND APPLICATIONS IN WHICH THE TEAMS THAT CONFIGURE THE PROJECT HAVE EXTENSIVE AND PROVEN EXPERIENCE): MATRIX ORTHOGONALITY: WITH RESPECT TO A MATRIX OF POSITIVE DEFINED MEASUREMENTS ON THE ACTUAL LINE; (B) ORTHOGONALITY IN SEVERAL VARIABLES AND SOBOLEV: IN THE LATTER CASE, THOSE DERIVED FROM THE POLYNOMIALS AFFECTED WITH WEIGHTS ARE INVOLVED; (C) ORTHOGONALITY WITH RESPECT TO MEASUREMENTS SUPPORTED IN THE UNIT CIRCUMFERENCE AND ITS APPLICATIONS IN INTEGRABLE SYSTEMS; (D) ORTHOGONALITY WITH RESPECT TO VECTOR MEASURES AND THEIR APPLICATIONS IN THE IMPLEMENTATION OF HERMITE-PADE SIMULTANEOUS QUADRATURE AND CONVERGENCE FORMULAS; (E) EXCEPTIONAL AND BISPECTRAL ORTHOGONAL POLYNOMIALS, AND THE CONNECTIONS BETWEEN THEM AND WITH THE PHYSICAL PROBLEMS THAT MODEL DIFFERENTIAL OPERATORS AND IN DIFFERENCES FROM THOSE THAT ARE SELF-FUNCTIONS. OTHER RELATED FIELDS WILL ALSO BE CONSIDERED: RATIONAL APPROXIMATION (MAINLY APPROXIMATIONS OF PADE AND ITS EXTENSIONS), COMPUTATIONAL METHODS FOR SPECIAL FUNCTIONS RELEVANT IN PHYSICAL-MATHEMATICAL MODELS, NUMBER THEORY, FOURIER AND DIRICHLET SERIES. _x000D_ special RELEVANCY TEND APPLICATIONS IN MATEMATIC FISIC. ON THE ONE HAND, IN INTEGRABLE SYSTEMS, SINCE FLOWS, PARAMETERISED BY CONTINUOUS OR DISCRETE TIMES, CORRESPOND TO ORTHOGONAL POLYNOMIALS WITH RESPECT TO MEASURES SUBJECT TO DEFORMATION ACCORDING TO THESE TEMPORAL PARAMETERS. THEREFORE, THE TEMPORAL VARIATION OF THESE ORTHOGONAL POLYNOMIALS, THEIR COEFFICIENTS, THOSE OF THEIR RECURRENCES AND THEIR CHRISTOFFEL-DARBOUX NUCLEI WILL BE OF INTEREST, AS THEY GIVE US SOLUTIONS TO THESE INTEGRABLE NONLINEAR EQUATIONS. IN THIS PROJECT, CONNECTIONS WITH INTEGRABLE SYSTEMS WILL BE EXTENDED TO A LARGE PART OF THE WIDE RANGE OF ORTHOGONAL POLYNOMIAL TYPOLOGIES MENTIONED ABOVE, THUS ENRICHING THE TREATMENT AND PERSPECTIVE OF BOTH THEIR KNOWLEDGE AND THEIR APPLICATIONS. WE WILL ALSO STUDY THE APPLICATIONS OF EXCEPTIONAL ORTHOGONAL POLYNOMIALS TO THE MECHANICAL-QUANTIC MODELS THAT HAVE ASSOCIATES, WHOSE SPECTRUM AND SELF-FUNCTIONS CAN BE ACCURATELY CALCULATED USING THESE POLYNOMIALS. SPECIAL INTEREST WILL RECEIVE BISPECTRAL PROBLEMS FOR OPERATORS IN DIFFERENCES (AND Q-DIFFERENCES), GIVEN THE EQUIVALENCE OF THESE WITH DISCRETE EXCEPTIONAL POLYNOMIALS VIA THE DUALITY OF DISCRETE CLASSIC FAMILIES OF ORTHOGONAL POLYNOMIALS. _x000D_ the TECNICAS UTILISED SON, FUNDAMENTLY, OF MATRICIAL ANALISIS, POTENTIAL THEORY, FOURIER ANALISIS, OPERATOR’S THEORY, interpolation and COMPLED ANALISIS. OTHER SCIENTIFIC AND TECHNOLOGICAL APPLICATIONS THAT WILL ALSO BE EXPLORED RELATE TO PHYSICAL AND BIOLOGICAL SYSTEMS SUCH AS MACROMOLECULES AND MOLECULAR MOTORS, AS WELL AS FILTERING SIGNALS, DISCRETE MARKOV CHAINS WHERE INTERACTIONS ARE NOT REDUCED TO THE NEAREST NEIGHBORS, AND TIME AND BAND LIMITING PROBLEMS. (English) / qualifier | |||||||||||||||
point in time: 12 October 2021
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Revision as of 20:31, 12 October 2021
Project Q3179191 in Spain
| Language | Label | Description | Also known as |
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| English | No label defined |
Project Q3179191 in Spain |
Statements
47,734.5 Euro
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95,469.0 Euro
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50.0 percent
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1 January 2016
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31 July 2019
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UNIVERSIDAD DE LA RIOJA
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42°27'58.03"N, 2°26'22.81"W
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26089
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EL OBJETIVO DE ESTE PROYECTO ES INVESTIGAR PROPIEDADES ANALITICAS DE POLINOMIOS ORTOGONALES RESPECTO A VARIOS MODELOS DE ORTOGONALIDAD, ASI COMO SUS APLICACIONES EN FISICA MATEMATICA (MODELOS Y APLICACIONES EN LOS QUE LOS EQUIPOS QUE CONFIGURAN EL PROYECTO TIENEN UNA AMPLIA Y ACREDITADA EXPERIENCIA): (A) ORTOGONALIDAD MATRICIAL: CON RESPECTO A UNA MATRIZ DE MEDIDAS DEFINIDA POSITIVA EN LA RECTA REAL; (B) ORTOGONALIDAD EN VARIAS VARIABLES Y SOBOLEV: EN ESTE SEGUNDO CASO INTERVIENEN LAS DERIVADAS DE LOS POLINOMIOS AFECTADAS CON PESOS; (C) ORTOGONALIDAD RESPECTO A MEDIDAS SOPORTADAS EN LA CIRCUNFERENCIA UNIDAD Y SUS APLICACIONES EN SISTEMAS INTEGRABLES; (D) ORTOGONALIDAD RESPECTO A MEDIDAS VECTORIALES Y SUS APLICACIONES EN LA IMPLEMENTACION DE FORMULAS DE CUADRATURA SIMULTANEA Y CONVERGENCIA HERMITE-PADE; (E) POLINOMIOS ORTOGONALES EXCEPCIONALES Y BIESPECTRALES, Y LAS CONEXIONES ENTRE ELLOS Y CON LOS PROBLEMAS FISICOS QUE MODELIZAN LOS OPERADORES DIFERENCIALES Y EN DIFERENCIAS DE LOS QUE SON AUTOFUNCIONES. TAMBIEN SE CONSIDERARAN OTROS CAMPOS RELACIONADOS: APROXIMACION RACIONAL (PRINCIPALMENTE APROXIMANTES DE PADE Y SUS EXTENSIONES), METODOS COMPUTACIONALES PARA FUNCIONES ESPECIALES RELEVANTES EN MODELOS FISICO-MATEMATICOS, TEORIA DE NUMEROS, SERIES DE FOURIER Y DE DIRICHLET. _x000D_ ESPECIAL RELEVANCIA TENDRAN LAS APLICACIONES EN FISICA MATEMATICA. POR UN LADO EN SISTEMAS INTEGRABLES, DADO QUE LOS FLUJOS, PARAMETRIZADOS POR TIEMPOS CONTINUOS O DISCRETOS, SE CORRESPONDEN CON POLINOMIOS ORTOGONALES CON RESPECTO A MEDIDAS SUJETAS A DEFORMACIONES DE ACUERDO CON ESTOS PARAMETROS TEMPORALES. SERAN POR ELLO DE INTERES LA VARIACION TEMPORAL DE ESTOS POLINOMIOS ORTOGONALES, SUS COEFICIENTES, LOS DE SUS RECURRENCIAS Y SUS NUCLEOS DE CHRISTOFFEL-DARBOUX, PUES NOS DAN SOLUCIONES A ESTAS ECUACIONES NO LINEALES INTEGRABLES. EN ESTE PROYECTO SE EXTENDERAN LAS CONEXIONES CON SISTEMAS INTEGRABLES A UNA GRAN PARTE DE LA AMPLIA GAMA DE TIPOLOGIAS DE POLINOMIOS ORTOGONALES ANTES CITADOS, ENRIQUECIENDO DE ESTA FORMA EL TRATAMIENTO Y LA PERSPECTIVA TANTO DE SU CONOCIMIENTO COMO DE SUS APLICACIONES. TAMBIEN ESTUDIAREMOS LAS APLICACIONES DE LOS POLINOMIOS ORTOGONALES EXCEPCIONALES A LOS MODELOS MECANICO-CUANTICOS QUE TIENEN ASOCIADOS, CUYO ESPECTRO Y AUTOFUNCIONES SE PUEDEN CALCULAR DE MANERA EXACTA MEDIANTE DICHOS POLINOMIOS. ESPECIAL INTERES RECIBIRAN LOS PROBLEMAS BIESPECTRALES PARA OPERADORES EN DIFERENCIAS (Y Q-DIFERENCIAS), DADA LA EQUIVALENCIA DE ESTOS CON LOS POLINOMIOS EXCEPCIONALES DISCRETOS VIA LA DUALIDAD DE LAS FAMILIAS CLASICAS DISCRETAS DE POLINOMIOS ORTOGONALES. _x000D_ LAS TECNICAS UTILIZADAS SON, FUNDAMENTALMENTE, DE ANALISIS MATRICIAL, TEORIA DEL POTENCIAL, ANALISIS DE FOURIER, TEORIA DE OPERADORES, INTERPOLACION Y ANALISIS COMPLEJO. OTRAS APLICACIONES CIENTIFICAS Y TECNOLOGICAS QUE TAMBIEN SE EXPLORARAN TIENEN RELACION CON SISTEMAS FISICOS Y BIOLOGICOS COMO MACROMOLECULAS Y MOTORES MOLECULARES, ASI COMO FILTRADO DE SEÑALES, CADENAS DE MARKOV DISCRETAS DONDE LAS INTERACCIONES NO SE REDUCEN A LOS VECINOS MAS CERCANOS, Y PROBLEMAS DE TIME AND BAND LIMITING. (Spanish)
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THE OBJECTIVE OF THIS PROJECT IS TO INVESTIGATE ANALYTIC PROPERTIES OF ORTHOGONAL POLYNOMIALS WITH RESPECT TO VARIOUS ORTHOGONALITY MODELS, AS WELL AS THEIR APPLICATIONS IN MATHEMATICAL PHYSICS (MODELS AND APPLICATIONS IN WHICH THE TEAMS THAT CONFIGURE THE PROJECT HAVE EXTENSIVE AND PROVEN EXPERIENCE): MATRIX ORTHOGONALITY: WITH RESPECT TO A MATRIX OF POSITIVE DEFINED MEASUREMENTS ON THE ACTUAL LINE; (B) ORTHOGONALITY IN SEVERAL VARIABLES AND SOBOLEV: IN THE LATTER CASE, THOSE DERIVED FROM THE POLYNOMIALS AFFECTED WITH WEIGHTS ARE INVOLVED; (C) ORTHOGONALITY WITH RESPECT TO MEASUREMENTS SUPPORTED IN THE UNIT CIRCUMFERENCE AND ITS APPLICATIONS IN INTEGRABLE SYSTEMS; (D) ORTHOGONALITY WITH RESPECT TO VECTOR MEASURES AND THEIR APPLICATIONS IN THE IMPLEMENTATION OF HERMITE-PADE SIMULTANEOUS QUADRATURE AND CONVERGENCE FORMULAS; (E) EXCEPTIONAL AND BISPECTRAL ORTHOGONAL POLYNOMIALS, AND THE CONNECTIONS BETWEEN THEM AND WITH THE PHYSICAL PROBLEMS THAT MODEL DIFFERENTIAL OPERATORS AND IN DIFFERENCES FROM THOSE THAT ARE SELF-FUNCTIONS. OTHER RELATED FIELDS WILL ALSO BE CONSIDERED: RATIONAL APPROXIMATION (MAINLY APPROXIMATIONS OF PADE AND ITS EXTENSIONS), COMPUTATIONAL METHODS FOR SPECIAL FUNCTIONS RELEVANT IN PHYSICAL-MATHEMATICAL MODELS, NUMBER THEORY, FOURIER AND DIRICHLET SERIES. _x000D_ special RELEVANCY TEND APPLICATIONS IN MATEMATIC FISIC. ON THE ONE HAND, IN INTEGRABLE SYSTEMS, SINCE FLOWS, PARAMETERISED BY CONTINUOUS OR DISCRETE TIMES, CORRESPOND TO ORTHOGONAL POLYNOMIALS WITH RESPECT TO MEASURES SUBJECT TO DEFORMATION ACCORDING TO THESE TEMPORAL PARAMETERS. THEREFORE, THE TEMPORAL VARIATION OF THESE ORTHOGONAL POLYNOMIALS, THEIR COEFFICIENTS, THOSE OF THEIR RECURRENCES AND THEIR CHRISTOFFEL-DARBOUX NUCLEI WILL BE OF INTEREST, AS THEY GIVE US SOLUTIONS TO THESE INTEGRABLE NONLINEAR EQUATIONS. IN THIS PROJECT, CONNECTIONS WITH INTEGRABLE SYSTEMS WILL BE EXTENDED TO A LARGE PART OF THE WIDE RANGE OF ORTHOGONAL POLYNOMIAL TYPOLOGIES MENTIONED ABOVE, THUS ENRICHING THE TREATMENT AND PERSPECTIVE OF BOTH THEIR KNOWLEDGE AND THEIR APPLICATIONS. WE WILL ALSO STUDY THE APPLICATIONS OF EXCEPTIONAL ORTHOGONAL POLYNOMIALS TO THE MECHANICAL-QUANTIC MODELS THAT HAVE ASSOCIATES, WHOSE SPECTRUM AND SELF-FUNCTIONS CAN BE ACCURATELY CALCULATED USING THESE POLYNOMIALS. SPECIAL INTEREST WILL RECEIVE BISPECTRAL PROBLEMS FOR OPERATORS IN DIFFERENCES (AND Q-DIFFERENCES), GIVEN THE EQUIVALENCE OF THESE WITH DISCRETE EXCEPTIONAL POLYNOMIALS VIA THE DUALITY OF DISCRETE CLASSIC FAMILIES OF ORTHOGONAL POLYNOMIALS. _x000D_ the TECNICAS UTILISED SON, FUNDAMENTLY, OF MATRICIAL ANALISIS, POTENTIAL THEORY, FOURIER ANALISIS, OPERATOR’S THEORY, interpolation and COMPLED ANALISIS. OTHER SCIENTIFIC AND TECHNOLOGICAL APPLICATIONS THAT WILL ALSO BE EXPLORED RELATE TO PHYSICAL AND BIOLOGICAL SYSTEMS SUCH AS MACROMOLECULES AND MOLECULAR MOTORS, AS WELL AS FILTERING SIGNALS, DISCRETE MARKOV CHAINS WHERE INTERACTIONS ARE NOT REDUCED TO THE NEAREST NEIGHBORS, AND TIME AND BAND LIMITING PROBLEMS. (English)
12 October 2021
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Logroño
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Identifiers
MTM2015-65888-C4-4-P
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