Suchergebnisse - "functions of hypercomplex variable"

A representation formula for slice regular functions over slice-cones in several variables

Autoren: Xiuming Dou Guangbin Ren Irene Sabadini

Quelle: Annali di Matematica Pura ed Applicata (1923 -). 202:2421-2446

Schlagwörter: Artificial intelligence, Octonions, Deformations and Structures of Hom-Lie Algebras, 01 natural sciences, Clifford algebras, 30G35, 17A30, 0103 physical sciences, FOS: Mathematics, 0101 mathematics, Complex Variables (math.CV), Alternative algebras, Mathematical Physics, Functions of hypercomplex variable, Algebra and Number Theory, Representation formula, Mathematics - Complex Variables, Applied Mathematics, Computer science, Quaternionic Analysis and Applications, Algorithm, Slice Regular Functions, Physical Sciences, Deformation Quantization of Poisson Manifolds, Quaternions, Slice regular functions, Mathematics

Zugangs-URL: http://arxiv.org/abs/2011.13770

Weak Slice Regular Functions on the n-Dimensional Quadratic Cone of Octonions

Autoren: Xiuming Dou Guangbin Ren Irene Sabadini et al.

Quelle: The Journal of Geometric Analysis. 31:11312-11337

Schlagwörter: Artificial intelligence, Class (philosophy), Octonions, Geometry, Complex plane, Evolutionary biology, Holomorphic function, Plane (geometry), Mathematical analysis, 01 natural sciences, 0103 physical sciences, Taylor series, FOS: Mathematics, Complex Variables (math.CV), Optoelectronics, 0101 mathematics, Variable (mathematics), Hypercomplex number, Biology, Functions of hypercomplex variable, Algebra over a field, Representation formula, Mathematics - Complex Variables, Applied Mathematics, Wafer, Physics, Fractional Fourier Transform Analysis, Symplectic Topology and Knot Invariants, Pure mathematics, Quadratic equation, Cone (formal languages), Discrete mathematics, Computer science, Quaternionic Analysis and Applications, 30G35 (Primary), 32A10 (Secondary), Algorithm, Quaternion, Slice Regular Functions, Function (biology), Physical Sciences, Geometry and Topology, Slice regular functions, Mathematics

Zugangs-URL: https://link.springer.com/content/pdf/10.1007/s12220-021-00682-5.pdf
http://arxiv.org/abs/2010.15089
https://link.springer.com/content/pdf/10.1007/s12220-021-00682-5.pdf
https://link.springer.com/article/10.1007/s12220-021-00682-5
https://hdl.handle.net/11311/1195579
https://doi.org/10.1007/s12220-021-00682-5

Cauchy-Riemann operators and local slice analysis over real alternative algebras

Autoren: Perotti, Alessandro

Weitere Verfasser: Perotti, Alessandro

Schlagwörter: Cauchy-Riemann operator, Slice-regular function, Functions of hypercomplex variable, Quaternion, Clifford algebra, Octonion, Real alternative algebras

Relation: info:eu-repo/semantics/altIdentifier/wos/WOS:000911439700011; volume:2022; issue:516; firstpage:12648001; lastpage:12648034; numberofpages:34; journal:JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS; https://hdl.handle.net/11572/329312; https://www.sciencedirect.com/science/article/pii/S0022247X22004942?via=ihub

Verfügbarkeit: https://hdl.handle.net/11572/329312
https://doi.org/10.1016/j.jmaa.2022.126480
https://www.sciencedirect.com/science/article/pii/S0022247X22004942?via=ihub

Slice-polynomial functions and twistor geometry of ruled surfaces in $$\mathbb {CP}^3$$ CP 3

Autoren: Altavilla, A. Sarfatti, G.

Weitere Verfasser: Altavilla, A. Sarfatti, G.

Quelle: Mathematische Zeitschrift. 291:1059-1092

Schlagwörter: Mathematics - Differential Geometry, Rational and ruled surface, Functions of hypercomplex variables, Rational and ruled surfaces, Slice regular functions, Slice-polynomial functions, Twistor spaces, Twistor spaces, Mathematics - Complex Variables, Slice regular function, 01 natural sciences, Slice-polynomial function, Differential Geometry (math.DG), FOS: Mathematics, Complex Variables (math.CV), 0101 mathematics, Primary 53C28, 30G35, secondary 32A30, 14J26, Functions of hypercomplex variable

Dateibeschreibung: application/pdf

Zugangs-URL: http://arxiv.org/pdf/1712.09946
http://arxiv.org/abs/1712.09946
https://ui.adsabs.harvard.edu/abs/2017arXiv171209946A/abstract
https://arxiv.org/abs/1712.09946
https://arxiv.org/pdf/1712.09946
https://link.springer.com/article/10.1007/s00209-018-2225-8
https://flore.unifi.it/handle/2158/1147577

Twistor interpretation of slice regular functions

Autoren: Altavilla A. Altavilla, A.

Weitere Verfasser: Altavilla A. Altavilla, A.

Quelle: Journal of Geometry and Physics. 123:184-208

Schlagwörter: Mathematics - Differential Geometry, 2. Zero hunger, Rational and ruled surface, Twistor spaces, Differential Geometry (math.DG), Mathematics - Complex Variables, Slice regular function, FOS: Mathematics, 53C28, 30G35, 53C55, 14J26, Complex Variables (math.CV), 0101 mathematics, 01 natural sciences, Functions of hypercomplex variable

Zugangs-URL: http://arxiv.org/pdf/1605.08656
http://arxiv.org/abs/1605.08656
https://arxiv.org/abs/1605.08656
https://arxiv.org/pdf/1605.08656.pdf
https://www.sciencedirect.com/science/article/pii/S0393044017302255
https://128.84.21.199/abs/1605.08656
https://ui.adsabs.harvard.edu/abs/2016arXiv160508656A/abstract

Slice regular semigroups

Autoren: Ghiloni, Riccardo RECUPERO, VINCENZO Recupero, Vincenzo

Weitere Verfasser: Ghiloni, Riccardo RECUPERO, VINCENZO Recupero, Vincenzo

Schlagwörter: Slice regular semigroup, Analytic semigroup, Functions of hypercomplex variable, Quaternion, Functional calculu, Spectrum, Resolvent

Dateibeschreibung: STAMPA

Relation: info:eu-repo/semantics/altIdentifier/wos/WOS:000432462400017; volume:370; issue:7; firstpage:4993; lastpage:5032; numberofpages:40; journal:TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY; https://hdl.handle.net/11583/2678146

Verfügbarkeit: https://hdl.handle.net/11583/2678146
https://doi.org/10.1090/tran/7354
http://www.ams.org/journals/tran/0000-000-00/S0002-9947-2018-07354-8/

Lower bounds for polynomials of a quaternionic variable

Autoren: GENTILI, GRAZIANO Struppa, Daniele C.

Quelle: Proceedings of the American Mathematical Society. 140:1659-1668

Schlagwörter: Applied Mathematics, General Mathematics, Functions of hypercomplex variable, Polynomials with quaternionic coefficients, 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/pdf

Zugangs-URL: https://www.ams.org/proc/2012-140-05/S0002-9939-2011-11027-X/S0002-9939-2011-11027-X.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=3896628
https://www.ams.org/journals/proc/2012-140-05/S0002-9939-2011-11027-X/home.html
https://www.ams.org/proc/2012-140-05/S0002-9939-2011-11027-X/S0002-9939-2011-11027-X.pdf
https://www.openaccessrepository.it/record/100243
https://neo.math.unifi.it/users/gentili/lavoripdf/GentiliStruppaPAMS.pdf
https://doi.org/10.1090/S0002-9939-2011-11027-X
https://hdl.handle.net/2158/403564

On the generators of Clifford semigroups: Polynomial resolvents and their integral transforms

Autoren: Ghiloni, Riccardo Recupero, Vincenzo

Weitere Verfasser: Ghiloni, Riccardo Recupero, Vincenzo

Schlagwörter: Clifford algebra, Functional calculu, Functions of hypercomplex variable, Laplace transform, Quaternion, Slice regular semigroup

Dateibeschreibung: STAMPA

Relation: info:eu-repo/semantics/altIdentifier/wos/WOS:001002596100001; volume:521; issue:1; firstpage:12690501; lastpage:12690519; numberofpages:19; journal:JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS; https://hdl.handle.net/11572/410431; https://www.sciencedirect.com/science/article/pii/S0022247X22009192?via=ihub

Verfügbarkeit: https://hdl.handle.net/11572/410431
https://doi.org/10.1016/j.jmaa.2022.126905
https://www.sciencedirect.com/science/article/pii/S0022247X22009192?via=ihub

Extension results for slice regular functions of a quaternionic variable

Autoren: COLOMBO, FABRIZIO G. Gentili SABADINI, IRENE MARIA et al.

Quelle: Advances in Mathematics. 222:1793-1808

Schlagwörter: 30G35, Mathematics(all), Algebra, Mathematics - Complex Variables, Functions of complex variable, functions of hypercomplex variable, FOS: Mathematics, Functions of hypercomplex variables, Complex Variables (math.CV), 0101 mathematics, 01 natural sciences, Functions of complex variables

Dateibeschreibung: application/pdf

Zugangs-URL: http://arxiv.org/abs/0905.1861
https://core.ac.uk/display/22100344
https://documat.unirioja.es/servlet/articulo?codigo=3062163
http://www.sciencedirect.com/science/article/pii/S0001870809001893
https://re.public.polimi.it/handle/11311/559995
https://dialnet.unirioja.es/servlet/articulo?codigo=3062163
https://digitalcommons.chapman.edu/scs_articles/56/
https://hdl.handle.net/11311/559995
https://hdl.handle.net/2158/780282

Slice-by-slice and global smoothness of slice regular and polyanalytic functions

Autoren: Ghiloni, Riccardo

Weitere Verfasser: Ghiloni, Riccardo

Schlagwörter: Slice regular function, Global slice polyanalytic function, Functions of hypercomplex variable, Generalized Cauchy-Riemann equation, Smoothness of solutions to PDEs

Relation: info:eu-repo/semantics/altIdentifier/wos/WOS:000779765700002; volume:201; issue:5; firstpage:2549; lastpage:2573; numberofpages:25; journal:ANNALI DI MATEMATICA PURA ED APPLICATA; https://hdl.handle.net/11572/357461

Verfügbarkeit: https://hdl.handle.net/11572/357461
https://doi.org/10.1007/s10231-022-01209-7
https://link.springer.com/article/10.1007/s10231-022-01209-7#citeas

The Zero Sets of Slice Regular Functions and the Open Mapping Theorem

Autoren: GENTILI, GRAZIANO STOPPATO, CATERINA

Quelle: Hypercomplex Analysis and Applications ISBN: 9783034602457

Schlagwörter: 30G35, functions of hypercomplex variable, zero sets, open mapping theorem, Mathematics - Complex Variables, 4. Education, FOS: Mathematics, 0101 mathematics, Complex Variables (math.CV), 01 natural sciences, functions of hypercomplex variable, zero sets, open mapping theorem

Dateibeschreibung: application/pdf

Zugangs-URL: http://arxiv.org/pdf/0907.5565
http://arxiv.org/abs/0907.5565
https://ui.adsabs.harvard.edu/abs/2009arXiv0907.5565G/abstract
https://arxiv.org/pdf/0907.5565
https://link.springer.com/chapter/10.1007/978-3-0346-0246-4_7
https://rd.springer.com/chapter/10.1007/978-3-0346-0246-4_7
https://arxiv.org/abs/0907.5565
https://hdl.handle.net/2158/1034110
https://www.ams.org/journals/abs/2009-30-04/abs-30-04.pdf
http://arxiv.org/pdf/0907.5565.pdf
https://hdl.handle.net/2158/384960
https://doi.org/10.1007/978-3-0346-0246-4_7

Semigroups over real alternative *-algebras: generation theorems and spherical sectorial operators.

Autoren: Ghiloni, Riccardo RECUPERO, VINCENZO Recupero, Vincenzo

Weitere Verfasser: Ghiloni, Riccardo RECUPERO, VINCENZO Recupero, Vincenzo

Schlagwörter: Functions of hypercomplex variable, Functional calculu, Semigroups of linear operator, Spectrum, resolvent

Relation: info:eu-repo/semantics/altIdentifier/wos/WOS:000374405000014; volume:368; issue:4; firstpage:2645; lastpage:2678; numberofpages:34; journal:TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY; https://hdl.handle.net/11583/2530091

Verfügbarkeit: https://hdl.handle.net/11583/2530091
https://doi.org/10.1090/tran/6399
http://www.ams.org/journals/tran/0000-000-00/S0002-9947-2015-06399-5/home.html

Slice regularity in several variables

Autoren: Ghiloni, Riccardo Perotti, Alessandro

Weitere Verfasser: Ghiloni, Riccardo Perotti, Alessandro

Schlagwörter: Functions of hypercomplex variable, Quaternion, Octonion, Clifford algebras

Dateibeschreibung: STAMPA

Relation: info:eu-repo/semantics/altIdentifier/isbn/978-5-209-04582-3; ispartofbook:Progress in analysis. Proceedings of the 8th congress of the International Society for Analysis, its Applications, and Computation (ISAAC); 8th ISAAC Conference; issue:Volume 1; firstpage:179; lastpage:186; numberofpages:8; https://hdl.handle.net/11572/90418

Verfügbarkeit: https://hdl.handle.net/11572/90418

On the geometry of the quaternionic unit disc

Autoren: BISI, Cinzia G. Gentili I. Sabadini, F. Sommen et al.

Weitere Verfasser: BISI, Cinzia G. Gentili I. Sabadini, F. Sommen et al.

Schlagwörter: Functions Of Hypercomplex Variable, Kobayashi Distance, Quaternionic Möbius Transformation, Quaternionic PoincarÉ Distance, Symmetric Space

Dateibeschreibung: STAMPA

Relation: info:eu-repo/semantics/altIdentifier/isbn/978-3-0346-0245-7; info:eu-repo/semantics/altIdentifier/isbn/978-3-0346-0246-4; info:eu-repo/semantics/altIdentifier/wos/WOS:000307314600001; ispartofseries:Trends in Mathematics; ispartofbook:Hypercomplex Analysis and Applications; 7th ISAAC Conference on Hypercomplex Analysis and Applications, 2009; volume:53; firstpage:1; lastpage:11; numberofpages:11; serie:TRENDS IN MATHEMATICS; alleditors:I. Sabadini, F. Sommen; http://hdl.handle.net/11392/1683452

Verfügbarkeit: http://hdl.handle.net/11392/1683452
https://doi.org/10.1007/978-3-0346-0246-4-1
https://doi.org/10.1007/978-3-0346-0246-4_1