Suchergebnisse - "Functions of a quaternionic variable"

Which Fueter-Regular Functions are Holomorphic?

Autoren: Alessandro Perotti Caterina Stoppato

Quelle: The Journal of Geometric Analysis. 35

Schlagwörter: Mathematics - Complex Variables, 30G35, 53C15, Functions of a quaternionic variable, Fueter-regular functions, orthogonal almost- complex structures, FOS: Mathematics, Complex Variables (math.CV)

Dateibeschreibung: application/pdf

Zugangs-URL: http://arxiv.org/abs/2411.00127
https://hdl.handle.net/11572/393729
https://doi.org/10.1007/s12220-024-01851-y
https://rdcu.be/d1K0L
https://hdl.handle.net/2158/1402408
https://doi.org/10.1007/s12220-024-01851-y

Quaternionic slice regularity beyond slice domains

Autoren: Riccardo Ghiloni Caterina Stoppato

Quelle: Mathematische Zeitschrift. 306

Schlagwörter: 30G35, Mathematics - Complex Variables, FOS: Mathematics, Complex Variables (math.CV), 0101 mathematics, 01 natural sciences, Functions of a quaternionic variable, quaternion, domains of regularity

Dateibeschreibung: application/pdf

Zugangs-URL: http://arxiv.org/abs/2312.13982

A local representation formula for quaternionic slice regular functions

Autoren: Graziano Gentili Caterina Stoppato

Quelle: Proceedings of the American Mathematical Society. 149:2025-2034

Schlagwörter: 30G35, Mathematics - Complex Variables, FOS: Mathematics, Complex Variables (math.CV), 0101 mathematics, 01 natural sciences, Functions of a quaternionic variable, quaternion, domains of regularity

Dateibeschreibung: application/pdf

Zugangs-URL: https://www.ams.org/proc/2021-149-05/S0002-9939-2021-15339-2/S0002-9939-2021-15339-2.pdf
http://arxiv.org/abs/2005.01077
http://ui.adsabs.harvard.edu/abs/2020arXiv200501077G/abstract
https://www.ams.org/journals/proc/2021-149-05/S0002-9939-2021-15339-2/home.html
https://arxiv.org/pdf/2005.01077v2
https://arxiv.org/abs/2005.01077

STARLIKENESS FOR FUNCTIONS OF A HYPERCOMPLEX VARIABLE

Autoren: GORI, ANNA VLACCI, FABIO

Quelle: Proceedings of the American Mathematical Society, 2017 Feb 01. 145(2), 791-804.

Zugangs-URL: https://www.jstor.org/stable/procamermathsoci.145.2.791

Quaternionic inner and outer functions

Autoren: Alessandro Monguzzi Giulia Sarfatti Daniel Seco et al.

Weitere Verfasser: Alessandro Monguzzi Giulia Sarfatti Daniel Seco et al.

Quelle: e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid
Universidad Carlos III de Madrid (UC3M)
e-Archivo: Repositorio Institucional de la Universidad Carlos III de Madrid
instname
Concrete Operators, Vol 6, Iss 1, Pp 44-57 (2019)

Schlagwörter: Primary 30G35, Secondary 30H10, 30J05, functions of a quaternionic variable, inner and outer functions, primary 30g35, Matemáticas, Mathematics - Complex Variables, Secondary 30H10, 30J05, 02 engineering and technology, Functions of hypercomplex variables and generalized variables, Hardy spaces, Inner functions, outer functions, 01 natural sciences, QA1-939, FOS: Mathematics, 0202 electrical engineering, electronic engineering, information engineering, secondary 30h10, 30j05, Complex Variables (math.CV), 0101 mathematics, Mathematics

Dateibeschreibung: application/pdf

Zugangs-URL: https://www.degruyter.com/downloadpdf/journals/conop/6/1/article-p44.pdf
http://arxiv.org/abs/1810.10070
https://hdl.handle.net/10016/32609
https://doaj.org/article/200136290f0f45b4bc5c3ef9c9b90d8d
https://boa.unimib.it/handle/10281/231558
https://flore.unifi.it/handle/2158/1153760

Shift invariant subspaces of slice L^2 functions

Autoren: Alessandro Monguzzi Giulia Sarfatti

Quelle: Annales Fennici Mathematici; Vol. 43 No. 2 (2018): Volume 43, 2018; 1045-1061
Annales Fennici Mathematici; Vol 43 Nro 2 (2018): Volume 43, 2018; 1045-1061

Schlagwörter: Mathematics - Complex Variables, Functions of a quaternionic variable, invariant subspaces, inner-outer factorization, FOS: Mathematics, functions of a quaternionic variable, invariant subspaces, inner-outer factorization, Complex Variables (math.CV), 0101 mathematics, 16. Peace & justice, 01 natural sciences, Functions of a quaternionic variable

Dateibeschreibung: application/pdf

Zugangs-URL: http://arxiv.org/abs/1802.02344
https://afm.journal.fi/article/view/135772
https://boa.unimib.it/handle/10281/231554
https://hdl.handle.net/2434/586815
https://doi.org/10.5186/aasfm.2018.4366
https://hdl.handle.net/2158/1138028
https://doi.org/10.5186/aasfm.2018.4366

A note on the Bieberbach conjecture for some classes of slice regular functions

Autoren: Anna Gori Fabio Vlacci A. Gori et al.

Weitere Verfasser: Anna Gori Fabio Vlacci A. Gori et al.

Schlagwörter: Bieberbach conjecture, Regular functions of one quaternionic variable, starlike functions, Settore MAT/03 - Geometria

Relation: volume:53; issue:19; firstpage:1; lastpage:16; numberofpages:16; journal:RENDICONTI DELL'ISTITUTO DI MATEMATICA DELL'UNIVERSITÀ DI TRIESTE; https://hdl.handle.net/2434/944297; https://www.openstarts.units.it/bitstream/10077/33302/3/19_GoriVlacci.pdf

Verfügbarkeit: https://hdl.handle.net/2434/944297
https://doi.org/10.13137/2464-8728/33302
https://www.openstarts.units.it/bitstream/10077/33302/3/19_GoriVlacci.pdf

Starlikeness for functions of a hypercomplex variable

Autoren: Gori, Anna VLACCI, FABIO Vlacci, Fabio

Weitere Verfasser: Gori, Anna VLACCI, FABIO Vlacci, Fabio

Quelle: Proceedings of the American Mathematical Society. 145:791-804

Schlagwörter: Applied Mathematics, Regular functions of one quaternionic variable, univalent functions, starlikeness and starlike or star–shaped function, convexity and convex–function, 0103 physical sciences, Univalent function, Mathematics (all), Starlikeness and starlike or star-shaped function, Convexity and convex-function, 0101 mathematics, regular functions of one quaternionic variable, univalent functions, starlikeness and starlike or star-shaped function, convexity and convex-function, Regular functions of one quaternionic variable, 01 natural sciences, Univalent functions

Dateibeschreibung: STAMPA; application/pdf

Zugangs-URL: https://air.unimi.it/retrieve/handle/2434/465552/758763/Gori-Vlacci-PAMS.pdf
http://hdl.handle.net/11368/2940765
http://www.ams.org/journals/proc/2017-145-02/S0002-9939-2016-13256-5/S0002-9939-2016-13256-5.pdf
https://air.unimi.it/handle/2434/465552
https://www.ams.org/journals/proc/2017-145-02/S0002-9939-2016-13256-5/
https://hdl.handle.net/11368/2940765
https://doi.org/10.1090/proc/13256
http://www.ams.org/journals/proc/2017-145-02/S0002-9939-2016-13256-5/S0002-9939-2016-13256-5.pdf

Ideals of regular functions of a quaternionic variable

Autoren: GENTILI, GRAZIANO SARFATTI, GIULIA Struppa, Daniele C.

Quelle: Mathematical Research Letters. 23:1645-1663

Schlagwörter: 30G35, Algebra, Ideals of regular functions, Mathematics - Complex Variables, FOS: Mathematics, Functions of a quaternionic variable, Complex Variables (math.CV), 0101 mathematics, Functions of a quaternionic variable, Ideals of regular functions, 01 natural sciences

Dateibeschreibung: application/pdf

Zugangs-URL: https://www.intlpress.com/site/pub/files/_fulltext/journals/mrl/2016/0023/0006/MRL-2016-0023-0006-a004.pdf
http://arxiv.org/abs/1611.08827
http://www.intlpress.com/site/pub/pages/journals/items/mrl/content/vols/0023/0006/a004/
http://web.math.unifi.it/users/sarfatti/ideals.pdf
https://digitalcommons.chapman.edu/scs_articles/63/
https://www.intlpress.com/site/pub/files/_fulltext/journals/mrl/2016/0023/0006/MRL-2016-0023-0006-a004.pdf
https://hdl.handle.net/2158/1001501
https://doi.org/10.4310/MRL.2016.v23.n6.a4
https://arxiv.org/abs/1611.08827

Non-commutative functional calculus: Unbounded operators

Autoren: Sabadini, Irene Colombo, Fabrizio Struppa, Daniele et al.

Quelle: Journal of Geometry and Physics. 60:251-259

Schlagwörter: bepress|Physical Sciences and Mathematics|Mathematics, functions of a quaternionic variable, non commutative functional calculus, unbounded operators, 01 natural sciences, Mathematics - Spectral Theory, Algebra, 47A10, 47A60, 30G35, bepress|Physical Sciences and Mathematics|Mathematics|Algebra, Functions of a quaternionic variable, bounded operators, Bounded and unbounded operators, 0103 physical sciences, Functional calculus, FOS: Mathematics, 0101 mathematics, Other Mathematics, bepress|Physical Sciences and Mathematics|Mathematics|Other Mathematics, Spectral theory, Spectral Theory (math.SP)

Dateibeschreibung: application/pdf

Zugangs-URL: http://arxiv.org/pdf/0708.3591
http://arxiv.org/abs/0708.3591
http://arxiv.org/abs/0708.3592
https://arxiv.org/abs/0708.3591
https://digitalcommons.chapman.edu/scs_articles/44/
https://www.sciencedirect.com/science/article/pii/S0393044009001661
https://core.ac.uk/display/55206510
https://link.springer.com/content/pdf/10.1007%2Fs11785-009-0015-3.pdf
https://rd.springer.com/article/10.1007/s11785-009-0015-3
https://hdl.handle.net/11311/569661
https://hdl.handle.net/11311/575730
http://arxiv.org/pdf/0708.3591
https://doi.org/10.1007/s11785-009-0015-3
https://hdl.handle.net/2158/261808

The Quaternionic Hardy Space and the Geometry of the Unit Ball

Autoren: Giulia Sarfatti

Quelle: Bruno Pini Mathematical Analysis Seminar, Vol 6, Iss 1, Pp 103-115 (2015)

Schlagwörter: Hardy space on the quaternionic ball, functions of a quaternionic variable, invariant Riemannian metric, Analysis, QA299.6-433

Dateibeschreibung: electronic resource

Relation: http://mathematicalanalysis.unibo.it/article/view/5893; https://doaj.org/toc/2240-2829

Zugangs-URL: https://doaj.org/article/9bfa4dc44c62484ab22a0a313708bcb1

Invariant Metrics for the Quaternionic Hardy Space

Autoren: Arcozzi, Nicola SARFATTI, GIULIA

Quelle: The Journal of Geometric Analysis. 25:2028-2059

Schlagwörter: 30G35, 46E22, 58B20, 2. Zero hunger, Mathematics - Complex Variables, FOS: Mathematics, Hardy space on the quaternionic ball, Functions of a quaternionic variable, Invariant Riemannian metric, Complex Variables (math.CV), 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/pdf

Zugangs-URL: http://arxiv.org/pdf/1312.5906
http://arxiv.org/abs/1312.5906
https://link.springer.com/article/10.1007/s12220-014-9503-4/fulltext.html
https://cris.unibo.it/handle/11585/548656
https://link.springer.com/content/pdf/10.1007%2Fs12220-014-9503-4.pdf
https://ui.adsabs.harvard.edu/abs/2013arXiv1312.5906A/abstract
https://link.springer.com/article/10.1007/s12220-014-9503-4

The Weierstrass factorization theorem for slice regular functions over the quaternions

Autoren: GENTILI, GRAZIANO VIGNOZZI, IRENE

Quelle: Annals of Global Analysis and Geometry. 40:435-466

Schlagwörter: Functions of a quaternionic variable, Weierstrass Factorization Theorem, 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/pdf

Zugangs-URL: https://link.springer.com/content/pdf/10.1007%2Fs10455-011-9266-0.pdf
https://rd.springer.com/article/10.1007/s10455-011-9266-0
https://link.springer.com/article/10.1007/s10455-011-9266-0

The Open Mapping Theorem for Regular Quaternionic Functions

Autoren: GENTILI, GRAZIANO STOPPATO, CATERINA

Quelle: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE. :805-815

Schlagwörter: 30G35, Functions of a quaternionic variable, functions of a hypercomplex variable, open mapping theorem, minimum modulus principle, Mathematics - Complex Variables, 0103 physical sciences, FOS: Mathematics, Complex Variables (math.CV), 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/pdf

Zugangs-URL: https://journals.sns.it/index.php/annaliscienze/article/download/193/186
http://arxiv.org/abs/0802.3861
http://ui.adsabs.harvard.edu/abs/2008arXiv0802.3861G/abstract
https://arxiv.org/abs/0802.3861
https://philpapers.org/rec/GENTOM-2
https://journals.sns.it/index.php/annaliscienze/article/view/193
https://dialnet.unirioja.es/servlet/articulo?codigo=5458128
http://www.numdam.org/item/ASNSP_2009_5_8_4_805_0/
https://www.arxiv-vanity.com/papers/0802.3861/
http://www.numdam.org/item/ASNSP_2009_5_8_4_805_0.pdf
http://annaliscienze.sns.it/index.php?page=Article&id=29
https://doi.org/10.2422/2036-2145.2009.4.07
https://hdl.handle.net/2158/261814

Geometric function theory over quaternionic slice domains

Autoren: Graziano Gentili Caterina Stoppato

Quelle: Journal of Mathematical Analysis and Applications. 495:124780

Schlagwörter: 30G35, Functions of one quaternionic variable, Geometric function theory, Series expansions, Classification of singularities, Mathematics - Complex Variables, FOS: Mathematics, Complex Variables (math.CV), 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/pdf

Zugangs-URL: http://arxiv.org/pdf/2008.06373
http://arxiv.org/abs/2008.06373
https://arxiv.org/pdf/2008.06373
https://arxiv.org/abs/2008.06373v1
https://ui.adsabs.harvard.edu/abs/2020arXiv200806373G/abstract
https://www.sciencedirect.com/science/article/abs/pii/S0022247X20309434

The Mittag-Leffler Theorem for regular functions of a quaternionic variable

Autoren: GENTILI, GRAZIANO SARFATTI, GIULIA

Schlagwörter: 30G35, Mathematics - Complex Variables, Functions of a quaternionic variable, Mittag-Leffler Theorem, quaternionic analyticity, FOS: Mathematics, 0101 mathematics, Complex Variables (math.CV), 01 natural sciences

Dateibeschreibung: application/pdf

Zugangs-URL: http://arxiv.org/abs/1711.05064
https://hdl.handle.net/2158/1073591
http://nyjm.albany.edu/j/2017/23-26v.pdf

On Fixed Points of Regular Mobius Transformations over Quaternions

Autoren: GENTILI, GRAZIANO VLACCI, FABIO Gentili, Graziano et al.

Weitere Verfasser: GENTILI, GRAZIANO VLACCI, FABIO Gentili, Graziano et al.

Schlagwörter: Regular functions of a quaternionic variable, regular Möbius transformations, fixed points, Regular functions of a quaternionic variable — regular Möbius transformations — fixed points. —

Zugangs-URL: http://hdl.handle.net/11368/2940781
https://hdl.handle.net/11368/2940781

A Bloch-Landau Theorem for Slice Regular Functions

Autoren: Della Rocchetta, Chiara GENTILI, GRAZIANO SARFATTI, GIULIA

Quelle: Springer INdAM Series ISBN: 9788847024441

Schlagwörter: Hypercomplex analysis, Mathematics - Complex Variables, hypercomplex analysis, Geometric theory of regular functions of a quaternionic variable, 30G35, 30C99, FOS: Mathematics, 0101 mathematics, Complex Variables (math.CV), 01 natural sciences

Zugangs-URL: http://arxiv.org/pdf/1404.3117
http://arxiv.org/abs/1404.3117
https://rd.springer.com/chapter/10.1007/978-88-470-2445-8_4
http://web.math.unifi.it/users/sarfatti/Bloch-Landau.pdf
https://cris.unibo.it/handle/11585/398177
https://arxiv.org/pdf/1404.3117.pdf
https://core.ac.uk/display/104240270
https://link.springer.com/content/pdf/10.1007%2F978-88-470-2445-8_4.pdf
https://hdl.handle.net/11585/398177
https://doi.org/10.1007/978-88-470-2445-8_4

Regular Functions of a Quaternionic Variable

Autoren: Graziano Gentili Caterina Stoppato Daniele C. Struppa

Quelle: Springer Monographs in Mathematics ISBN: 9783642338700
Springer Monographs in Mathematics ISBN: 9783031075308

Schlagwörter: Functions of a quaternionic variable, functions of a hypercomplex variable, power series, zeros of polynomials and functions, singularities, integral representations, maximum modulus principle, open mapping theorem, fractional transformations, geometry of the unit ball, Functions of a hypercomplex variable, maximum principle, zeros of polynomials, Schwarz lemma

Dateibeschreibung: application/pdf

Zugangs-URL: https://link.springer.com/book/10.1007/978-3-642-33871-7
https://hdl.handle.net/2158/724939
https://doi.org/10.1007/978-3-642-33871-7

Landau-Toeplitz theorems for slice regular functions

Autoren: GENTILI, GRAZIANO SARFATTI, GIULIA

Schlagwörter: Geometric theory of regular functions of a quaternionic variable, Schwarz Lemma and generalisations

Dateibeschreibung: application/pdf

Zugangs-URL: https://hdl.handle.net/11585/349526
https://doi.org/10.2140/pjm.2013.265.381
http://msp.org/pjm/2013/265-2/index.xhtml
https://hdl.handle.net/2158/810487
https://doi.org/10.2140/pjm.2013.265.381