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A journey with positive definite functions to change dimension (2024)
Peron, Ana Paula ; Emery, Xavier ; Porcu, Emilio
Source: Abstracts. Conference titles: ICMC Summer Meeting on Differential Equations. Unidade: ICMC
Subjects: ANÁLISE FUNCIONAL, APROXIMAÇÃO
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ABNT
PERON, Ana Paula e EMERY, Xavier e PORCU, Emilio. A journey with positive definite functions to change dimension. 2024, Anais.. São Carlos: ICMC-USP, 2024. Disponível em: http://summer.icmc.usp.br/summers/summer24/pg_abstract.php. Acesso em: 12 nov. 2024.
APA
Peron, A. P., Emery, X., & Porcu, E. (2024). A journey with positive definite functions to change dimension. In Abstracts. São Carlos: ICMC-USP. Recuperado de http://summer.icmc.usp.br/summers/summer24/pg_abstract.php
NLM
Peron AP, Emery X, Porcu E. A journey with positive definite functions to change dimension [Internet]. Abstracts. 2024 ;[citado 2024 nov. 12 ] Available from: http://summer.icmc.usp.br/summers/summer24/pg_abstract.php
Vancouver
Peron AP, Emery X, Porcu E. A journey with positive definite functions to change dimension [Internet]. Abstracts. 2024 ;[citado 2024 nov. 12 ] Available from: http://summer.icmc.usp.br/summers/summer24/pg_abstract.php
Artigo de periodico
A catalogue of nonseparable positive semidefinite kernels on the product of two spheres (2023)
Emery, Xavier ; Peron, Ana Paula ; Porcu, Emilio
Source: Stochastic Environmental Research and Risk Assessment. Unidade: ICMC
Subjects: CAMPOS ALEATÓRIOS, SEQUÊNCIAS ESPECTRAIS, ANÁLISE FUNCIONAL
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ABNT
EMERY, Xavier e PERON, Ana Paula e PORCU, Emilio. A catalogue of nonseparable positive semidefinite kernels on the product of two spheres. Stochastic Environmental Research and Risk Assessment, v. 37, n. 4, p. 1497-1518, 2023Tradução . . Disponível em: https://doi.org/10.1007/s00477-022-02347-3. Acesso em: 12 nov. 2024.
APA
Emery, X., Peron, A. P., & Porcu, E. (2023). A catalogue of nonseparable positive semidefinite kernels on the product of two spheres. Stochastic Environmental Research and Risk Assessment, 37( 4), 1497-1518. doi:10.1007/s00477-022-02347-3
NLM
Emery X, Peron AP, Porcu E. A catalogue of nonseparable positive semidefinite kernels on the product of two spheres [Internet]. Stochastic Environmental Research and Risk Assessment. 2023 ; 37( 4): 1497-1518.[citado 2024 nov. 12 ] Available from: https://doi.org/10.1007/s00477-022-02347-3
Vancouver
Emery X, Peron AP, Porcu E. A catalogue of nonseparable positive semidefinite kernels on the product of two spheres [Internet]. Stochastic Environmental Research and Risk Assessment. 2023 ; 37( 4): 1497-1518.[citado 2024 nov. 12 ] Available from: https://doi.org/10.1007/s00477-022-02347-3
Artigo de periodico
Rudin extension theorems on product spaces, turning bands, and random fields on balls cross time (2023)
Porcu, Emilio ; Feng, Samuel F ; Emery, Xavier ; Peron, Ana Paula
Source: Bernoulli. Unidade: ICMC
Subjects: ANÁLISE FUNCIONAL, CAMPOS ALEATÓRIOS
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ABNT
PORCU, Emilio et al. Rudin extension theorems on product spaces, turning bands, and random fields on balls cross time. Bernoulli, v. 29, n. 2, p. 1464-1475, 2023Tradução . . Disponível em: https://doi.org/10.3150/22-BEJ1506. Acesso em: 12 nov. 2024.
APA
Porcu, E., Feng, S. F., Emery, X., & Peron, A. P. (2023). Rudin extension theorems on product spaces, turning bands, and random fields on balls cross time. Bernoulli, 29( 2), 1464-1475. doi:10.3150/22-BEJ1506
NLM
Porcu E, Feng SF, Emery X, Peron AP. Rudin extension theorems on product spaces, turning bands, and random fields on balls cross time [Internet]. Bernoulli. 2023 ; 29( 2): 1464-1475.[citado 2024 nov. 12 ] Available from: https://doi.org/10.3150/22-BEJ1506
Vancouver
Porcu E, Feng SF, Emery X, Peron AP. Rudin extension theorems on product spaces, turning bands, and random fields on balls cross time [Internet]. Bernoulli. 2023 ; 29( 2): 1464-1475.[citado 2024 nov. 12 ] Available from: https://doi.org/10.3150/22-BEJ1506
Artigo de periodico
Nested covariance functions on graphs with Euclidean edges cross time (2022)
Porcu, Emilio ; Emery, Xavier ; Peron, Ana Paula
Source: Electronic Journal of Statistics. Unidade: ICMC
Subjects: ANÁLISE FUNCIONAL, ESPAÇOS MÉTRICOS
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ABNT
PORCU, Emilio e EMERY, Xavier e PERON, Ana Paula. Nested covariance functions on graphs with Euclidean edges cross time. Electronic Journal of Statistics, v. 16, n. 2, p. 4222-4246, 2022Tradução . . Disponível em: https://doi.org/10.1214/22-EJS2039. Acesso em: 12 nov. 2024.
APA
Porcu, E., Emery, X., & Peron, A. P. (2022). Nested covariance functions on graphs with Euclidean edges cross time. Electronic Journal of Statistics, 16( 2), 4222-4246. doi:10.1214/22-EJS2039
NLM
Porcu E, Emery X, Peron AP. Nested covariance functions on graphs with Euclidean edges cross time [Internet]. Electronic Journal of Statistics. 2022 ; 16( 2): 4222-4246.[citado 2024 nov. 12 ] Available from: https://doi.org/10.1214/22-EJS2039
Vancouver
Porcu E, Emery X, Peron AP. Nested covariance functions on graphs with Euclidean edges cross time [Internet]. Electronic Journal of Statistics. 2022 ; 16( 2): 4222-4246.[citado 2024 nov. 12 ] Available from: https://doi.org/10.1214/22-EJS2039
Artigo de periodico
Dimension walks on hyperspheres (2022)
Emery, Xavier ; Peron, Ana Paula ; Porcu, Emilio
Source: Computational and Applied Mathematics. Unidade: ICMC
Subjects: ANÁLISE HARMÔNICA EM ESPAÇOS EUCLIDIANOS, ESPAÇOS HOMOGÊNEOS, GEOESTATÍSTICA, PROCESSOS ESTACIONÁRIOS, ANÁLISE REAL
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ABNT
EMERY, Xavier e PERON, Ana Paula e PORCU, Emilio. Dimension walks on hyperspheres. Computational and Applied Mathematics, v. 41, n. 5, p. 1-22, 2022Tradução . . Disponível em: https://doi.org/10.1007/s40314-022-01912-4. Acesso em: 12 nov. 2024.
APA
Emery, X., Peron, A. P., & Porcu, E. (2022). Dimension walks on hyperspheres. Computational and Applied Mathematics, 41( 5), 1-22. doi:10.1007/s40314-022-01912-4
NLM
Emery X, Peron AP, Porcu E. Dimension walks on hyperspheres [Internet]. Computational and Applied Mathematics. 2022 ; 41( 5): 1-22.[citado 2024 nov. 12 ] Available from: https://doi.org/10.1007/s40314-022-01912-4
Vancouver
Emery X, Peron AP, Porcu E. Dimension walks on hyperspheres [Internet]. Computational and Applied Mathematics. 2022 ; 41( 5): 1-22.[citado 2024 nov. 12 ] Available from: https://doi.org/10.1007/s40314-022-01912-4
Artigo de periodico
Series expansions among weighted Lebesgue function spaces and applications to positive definite functions on compact two-point homogeneous spaces (2022)
Barbosa, Victor Simões ; Gregori, Pablo ; Peron, Ana Paula ; Porcu, Emilio
Source: Journal of Mathematical Analysis and Applications. Unidade: ICMC
Subjects: ANÁLISE FUNCIONAL, ESPAÇOS HOMOGÊNEOS, POLINÔMIOS
A citação é gerada automaticamente e pode não estar totalmente de acordo com as normas
ABNT
BARBOSA, Victor Simões et al. Series expansions among weighted Lebesgue function spaces and applications to positive definite functions on compact two-point homogeneous spaces. Journal of Mathematical Analysis and Applications, v. 516, n. 1, p. 1-26, 2022Tradução . . Disponível em: https://doi.org/10.1016/j.jmaa.2022.126487. Acesso em: 12 nov. 2024.
APA
Barbosa, V. S., Gregori, P., Peron, A. P., & Porcu, E. (2022). Series expansions among weighted Lebesgue function spaces and applications to positive definite functions on compact two-point homogeneous spaces. Journal of Mathematical Analysis and Applications, 516( 1), 1-26. doi:10.1016/j.jmaa.2022.126487
NLM
Barbosa VS, Gregori P, Peron AP, Porcu E. Series expansions among weighted Lebesgue function spaces and applications to positive definite functions on compact two-point homogeneous spaces [Internet]. Journal of Mathematical Analysis and Applications. 2022 ; 516( 1): 1-26.[citado 2024 nov. 12 ] Available from: https://doi.org/10.1016/j.jmaa.2022.126487
Vancouver
Barbosa VS, Gregori P, Peron AP, Porcu E. Series expansions among weighted Lebesgue function spaces and applications to positive definite functions on compact two-point homogeneous spaces [Internet]. Journal of Mathematical Analysis and Applications. 2022 ; 516( 1): 1-26.[citado 2024 nov. 12 ] Available from: https://doi.org/10.1016/j.jmaa.2022.126487
Artigo de periodico
Multivariate Gaussian random fields over generalized product spaces involving the hypertorus (2022)
Bachoc, François; Peron, Ana Paula ; Porcu, Emilio
Source: Theory of Probability and Mathematical Statistics. Unidade: ICMC
Subjects: PROCESSOS ESTOCÁSTICOS, INFERÊNCIA ESTATÍSTICA
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ABNT
BACHOC, François e PERON, Ana Paula e PORCU, Emilio. Multivariate Gaussian random fields over generalized product spaces involving the hypertorus. Theory of Probability and Mathematical Statistics, v. 107, p. 3-14, 2022Tradução . . Disponível em: https://doi.org/10.1090/tpms/1176. Acesso em: 12 nov. 2024.
APA
Bachoc, F., Peron, A. P., & Porcu, E. (2022). Multivariate Gaussian random fields over generalized product spaces involving the hypertorus. Theory of Probability and Mathematical Statistics, 107, 3-14. doi:10.1090/tpms/1176
NLM
Bachoc F, Peron AP, Porcu E. Multivariate Gaussian random fields over generalized product spaces involving the hypertorus [Internet]. Theory of Probability and Mathematical Statistics. 2022 ; 107 3-14.[citado 2024 nov. 12 ] Available from: https://doi.org/10.1090/tpms/1176
Vancouver
Bachoc F, Peron AP, Porcu E. Multivariate Gaussian random fields over generalized product spaces involving the hypertorus [Internet]. Theory of Probability and Mathematical Statistics. 2022 ; 107 3-14.[citado 2024 nov. 12 ] Available from: https://doi.org/10.1090/tpms/1176
Artigo de periodico
Gneiting class, semi-metric spaces and isometric embeddings (2020)
Menegatto, Valdir Antônio ; Oliveira, Claudemir Pinheiro de ; Porcu, Emilio
Source: Constructive Mathematical Analysis. Unidade: ICMC
Subjects: ANÁLISE HARMÔNICA EM ESPAÇOS EUCLIDIANOS, ISOMETRIA
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ABNT
MENEGATTO, Valdir Antônio e OLIVEIRA, Claudemir Pinheiro de e PORCU, Emilio. Gneiting class, semi-metric spaces and isometric embeddings. Constructive Mathematical Analysis, v. 3, n. 2, p. 85-95, 2020Tradução . . Disponível em: https://doi.org/10.33205/cma.712049. Acesso em: 12 nov. 2024.
APA
Menegatto, V. A., Oliveira, C. P. de, & Porcu, E. (2020). Gneiting class, semi-metric spaces and isometric embeddings. Constructive Mathematical Analysis, 3( 2), 85-95. doi:10.33205/cma.712049
NLM
Menegatto VA, Oliveira CP de, Porcu E. Gneiting class, semi-metric spaces and isometric embeddings [Internet]. Constructive Mathematical Analysis. 2020 ; 3( 2): 85-95.[citado 2024 nov. 12 ] Available from: https://doi.org/10.33205/cma.712049
Vancouver
Menegatto VA, Oliveira CP de, Porcu E. Gneiting class, semi-metric spaces and isometric embeddings [Internet]. Constructive Mathematical Analysis. 2020 ; 3( 2): 85-95.[citado 2024 nov. 12 ] Available from: https://doi.org/10.33205/cma.712049
Artigo de periodico
Strict positive definiteness under axial symmetry on the sphere (2020)
Bissiri, Pier Giovanni ; Peron, Ana Paula ; Porcu, Emilio
Source: Stochastic Environmental Research and Risk Assessment. Unidade: ICMC
Subjects: APROXIMAÇÃO, INTERPOLAÇÃO
A citação é gerada automaticamente e pode não estar totalmente de acordo com as normas
ABNT
BISSIRI, Pier Giovanni e PERON, Ana Paula e PORCU, Emilio. Strict positive definiteness under axial symmetry on the sphere. Stochastic Environmental Research and Risk Assessment, v. 34, n. 5, p. 723–732, 2020Tradução . . Disponível em: https://doi.org/10.1007/s00477-020-01796-y. Acesso em: 12 nov. 2024.
APA
Bissiri, P. G., Peron, A. P., & Porcu, E. (2020). Strict positive definiteness under axial symmetry on the sphere. Stochastic Environmental Research and Risk Assessment, 34( 5), 723–732. doi:10.1007/s00477-020-01796-y
NLM
Bissiri PG, Peron AP, Porcu E. Strict positive definiteness under axial symmetry on the sphere [Internet]. Stochastic Environmental Research and Risk Assessment. 2020 ; 34( 5): 723–732.[citado 2024 nov. 12 ] Available from: https://doi.org/10.1007/s00477-020-01796-y
Vancouver
Bissiri PG, Peron AP, Porcu E. Strict positive definiteness under axial symmetry on the sphere [Internet]. Stochastic Environmental Research and Risk Assessment. 2020 ; 34( 5): 723–732.[citado 2024 nov. 12 ] Available from: https://doi.org/10.1007/s00477-020-01796-y
Artigo de periodico
Relations between Schoenberg coefficients on real and complex spheres of different dimensions (2019)
Bissiri, Pier Giovanni; Menegatto, Valdir Antônio ; Porcu, Emilio
Source: Symmetry, Integrability and Geometry : Methods and Applications - SIGMA. Unidade: ICMC
Subjects: ANÁLISE HARMÔNICA EM ESPAÇOS EUCLIDIANOS, FUNÇÕES HIPERGEOMÉTRICAS, FUNÇÕES ORTOGONAIS, SÉRIES ORTOGONAIS
A citação é gerada automaticamente e pode não estar totalmente de acordo com as normas
ABNT
BISSIRI, Pier Giovanni e MENEGATTO, Valdir Antônio e PORCU, Emilio. Relations between Schoenberg coefficients on real and complex spheres of different dimensions. Symmetry, Integrability and Geometry : Methods and Applications - SIGMA, v. 15, p. 1-12, 2019Tradução . . Disponível em: https://doi.org/10.3842/SIGMA.2019.004. Acesso em: 12 nov. 2024.
APA
Bissiri, P. G., Menegatto, V. A., & Porcu, E. (2019). Relations between Schoenberg coefficients on real and complex spheres of different dimensions. Symmetry, Integrability and Geometry : Methods and Applications - SIGMA, 15, 1-12. doi:10.3842/SIGMA.2019.004
NLM
Bissiri PG, Menegatto VA, Porcu E. Relations between Schoenberg coefficients on real and complex spheres of different dimensions [Internet]. Symmetry, Integrability and Geometry : Methods and Applications - SIGMA. 2019 ; 15 1-12.[citado 2024 nov. 12 ] Available from: https://doi.org/10.3842/SIGMA.2019.004
Vancouver
Bissiri PG, Menegatto VA, Porcu E. Relations between Schoenberg coefficients on real and complex spheres of different dimensions [Internet]. Symmetry, Integrability and Geometry : Methods and Applications - SIGMA. 2019 ; 15 1-12.[citado 2024 nov. 12 ] Available from: https://doi.org/10.3842/SIGMA.2019.004
Artigo de periodico
Strictly positive definite multivariate covariance functions on spheres (2018)
Guella, Jean Carlo; Menegatto, Valdir Antônio ; Porcu, Emilio
Source: Journal of Multivariate Analysis. Unidade: ICMC
Subjects: ANÁLISE HARMÔNICA EM ESPAÇOS EUCLIDIANOS, INFERÊNCIA ESTATÍSTICA, GEOESTATÍSTICA
A citação é gerada automaticamente e pode não estar totalmente de acordo com as normas
ABNT
GUELLA, Jean Carlo e MENEGATTO, Valdir Antônio e PORCU, Emilio. Strictly positive definite multivariate covariance functions on spheres. Journal of Multivariate Analysis, v. 166, p. 150-159, 2018Tradução . . Disponível em: https://doi.org/10.1016/j.jmva.2018.03.001. Acesso em: 12 nov. 2024.
APA
Guella, J. C., Menegatto, V. A., & Porcu, E. (2018). Strictly positive definite multivariate covariance functions on spheres. Journal of Multivariate Analysis, 166, 150-159. doi:10.1016/j.jmva.2018.03.001
NLM
Guella JC, Menegatto VA, Porcu E. Strictly positive definite multivariate covariance functions on spheres [Internet]. Journal of Multivariate Analysis. 2018 ; 166 150-159.[citado 2024 nov. 12 ] Available from: https://doi.org/10.1016/j.jmva.2018.03.001
Vancouver
Guella JC, Menegatto VA, Porcu E. Strictly positive definite multivariate covariance functions on spheres [Internet]. Journal of Multivariate Analysis. 2018 ; 166 150-159.[citado 2024 nov. 12 ] Available from: https://doi.org/10.1016/j.jmva.2018.03.001
Artigo de periodico
Admissible nested covariance models over spheres cross time (2018)
Peron, Ana Paula ; Porcu, Emilio; Emery, Xavier
Source: Stochastic Environmental Research and Risk Assessment. Unidade: ICMC
Assunto: ANÁLISE FUNCIONAL
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ABNT
PERON, Ana Paula e PORCU, Emilio e EMERY, Xavier. Admissible nested covariance models over spheres cross time. Stochastic Environmental Research and Risk Assessment, v. No 2018, n. 11, p. 3053-3066, 2018Tradução . . Disponível em: https://doi.org/10.1007/s00477-018-1576-3. Acesso em: 12 nov. 2024.
APA
Peron, A. P., Porcu, E., & Emery, X. (2018). Admissible nested covariance models over spheres cross time. Stochastic Environmental Research and Risk Assessment, No 2018( 11), 3053-3066. doi:10.1007/s00477-018-1576-3
NLM
Peron AP, Porcu E, Emery X. Admissible nested covariance models over spheres cross time [Internet]. Stochastic Environmental Research and Risk Assessment. 2018 ; No 2018( 11): 3053-3066.[citado 2024 nov. 12 ] Available from: https://doi.org/10.1007/s00477-018-1576-3
Vancouver
Peron AP, Porcu E, Emery X. Admissible nested covariance models over spheres cross time [Internet]. Stochastic Environmental Research and Risk Assessment. 2018 ; No 2018( 11): 3053-3066.[citado 2024 nov. 12 ] Available from: https://doi.org/10.1007/s00477-018-1576-3
Artigo de periodico
Schoenberg's theorem for real and complex Hilbert spheres revisited (2018)
Berg, Christian; Peron, Ana Paula ; Porcu, Emilio
Source: Journal of Approximation Theory. Unidade: ICMC
Subjects: ANÁLISE HARMÔNICA, FUNÇÕES HIPERGEOMÉTRICAS, POLINÔMIOS ORTOGONAIS
A citação é gerada automaticamente e pode não estar totalmente de acordo com as normas
ABNT
BERG, Christian e PERON, Ana Paula e PORCU, Emilio. Schoenberg's theorem for real and complex Hilbert spheres revisited. Journal of Approximation Theory, v. 228, p. 58-78, 2018Tradução . . Disponível em: https://doi.org/10.1016/j.jat.2018.02.003. Acesso em: 12 nov. 2024.
APA
Berg, C., Peron, A. P., & Porcu, E. (2018). Schoenberg's theorem for real and complex Hilbert spheres revisited. Journal of Approximation Theory, 228, 58-78. doi:10.1016/j.jat.2018.02.003
NLM
Berg C, Peron AP, Porcu E. Schoenberg's theorem for real and complex Hilbert spheres revisited [Internet]. Journal of Approximation Theory. 2018 ; 228 58-78.[citado 2024 nov. 12 ] Available from: https://doi.org/10.1016/j.jat.2018.02.003
Vancouver
Berg C, Peron AP, Porcu E. Schoenberg's theorem for real and complex Hilbert spheres revisited [Internet]. Journal of Approximation Theory. 2018 ; 228 58-78.[citado 2024 nov. 12 ] Available from: https://doi.org/10.1016/j.jat.2018.02.003
Artigo de periodico
Orthogonal expansions related to compact Gelfand pairs (2018)
Berg, Christian; Peron, Ana Paula ; Porcu, Emilio
Source: Expositiones Mathematicae. Unidade: ICMC
Subjects: ANÁLISE HARMÔNICA, FUNÇÕES HIPERGEOMÉTRICAS
A citação é gerada automaticamente e pode não estar totalmente de acordo com as normas
ABNT
BERG, Christian e PERON, Ana Paula e PORCU, Emilio. Orthogonal expansions related to compact Gelfand pairs. Expositiones Mathematicae, v. 36, n. 3-4, p. 259-277, 2018Tradução . . Disponível em: https://doi.org/10.1016/j.exmath.2017.10.005. Acesso em: 12 nov. 2024.
APA
Berg, C., Peron, A. P., & Porcu, E. (2018). Orthogonal expansions related to compact Gelfand pairs. Expositiones Mathematicae, 36( 3-4), 259-277. doi:10.1016/j.exmath.2017.10.005
NLM
Berg C, Peron AP, Porcu E. Orthogonal expansions related to compact Gelfand pairs [Internet]. Expositiones Mathematicae. 2018 ; 36( 3-4): 259-277.[citado 2024 nov. 12 ] Available from: https://doi.org/10.1016/j.exmath.2017.10.005
Vancouver
Berg C, Peron AP, Porcu E. Orthogonal expansions related to compact Gelfand pairs [Internet]. Expositiones Mathematicae. 2018 ; 36( 3-4): 259-277.[citado 2024 nov. 12 ] Available from: https://doi.org/10.1016/j.exmath.2017.10.005
Artigo de periodico
Positive definite functions on complex spheres and their walks through dimensions (2017)
Massa, Eugenio Tommaso ; Peron, Ana Paula ; Porcu, Emilio
Source: Symmetry, Integrability and Geometry : Methods and Applications - SIGMA. Unidade: ICMC
Subjects: ANÁLISE HARMÔNICA EM ESPAÇOS EUCLIDIANOS, FUNÇÕES ORTOGONAIS
A citação é gerada automaticamente e pode não estar totalmente de acordo com as normas
ABNT
MASSA, Eugenio Tommaso e PERON, Ana Paula e PORCU, Emilio. Positive definite functions on complex spheres and their walks through dimensions. Symmetry, Integrability and Geometry : Methods and Applications - SIGMA, v. 13, p. 1-16, 2017Tradução . . Disponível em: https://doi.org/10.3842/SIGMA.2017.088. Acesso em: 12 nov. 2024.
APA
Massa, E. T., Peron, A. P., & Porcu, E. (2017). Positive definite functions on complex spheres and their walks through dimensions. Symmetry, Integrability and Geometry : Methods and Applications - SIGMA, 13, 1-16. doi:10.3842/SIGMA.2017.088
NLM
Massa ET, Peron AP, Porcu E. Positive definite functions on complex spheres and their walks through dimensions [Internet]. Symmetry, Integrability and Geometry : Methods and Applications - SIGMA. 2017 ; 13 1-16.[citado 2024 nov. 12 ] Available from: https://doi.org/10.3842/SIGMA.2017.088
Vancouver
Massa ET, Peron AP, Porcu E. Positive definite functions on complex spheres and their walks through dimensions [Internet]. Symmetry, Integrability and Geometry : Methods and Applications - SIGMA. 2017 ; 13 1-16.[citado 2024 nov. 12 ] Available from: https://doi.org/10.3842/SIGMA.2017.088

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