Peña-Pérez, Yudier; Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Schneider, Baruch Electromagnetic Riemann-Hilbert boundary value problem in fractal domains of \(\mathbb{R}^2\). (English) Zbl 1492.30099 J. Geom. Anal. 32, No. 7, Paper No. 189, 15 p. (2022). MSC: 30G35 35Q61 28A80 PDFBibTeX XMLCite \textit{Y. Peña-Pérez} et al., J. Geom. Anal. 32, No. 7, Paper No. 189, 15 p. (2022; Zbl 1492.30099) Full Text: DOI
Cao, Yalong Yang-Mills theories on geometric spaces. (English) Zbl 1499.14092 Rev. Math. Phys. 34, No. 1, Article ID 2230001, 18 p. (2022). Reviewer: Johannes Walcher (Montréal) MSC: 14N35 14J32 53C07 53D37 57K16 57K41 57R20 57R58 58E05 58J28 81T13 14-02 PDFBibTeX XMLCite \textit{Y. Cao}, Rev. Math. Phys. 34, No. 1, Article ID 2230001, 18 p. (2022; Zbl 1499.14092) Full Text: DOI
Bory Reyes, J.; Pérez-de la Rosa, M. A. On the Moisil-Theodoresco operator in orthogonal curvilinear coordinates. (English) Zbl 1462.30093 Comput. Methods Funct. Theory 21, No. 1, 131-144 (2021). MSC: 30G35 35J05 PDFBibTeX XMLCite \textit{J. Bory Reyes} and \textit{M. A. Pérez-de la Rosa}, Comput. Methods Funct. Theory 21, No. 1, 131--144 (2021; Zbl 1462.30093) Full Text: DOI arXiv
Gantner, Jonathan Operator theory on one-sided quaternionic linear spaces: intrinsic \(S\)-functional calculus and spectral operators. (English) Zbl 1479.47001 Memoirs of the American Mathematical Society 1297. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4238-5/pbk; 978-1-4704-6393-9/ebook). v, 101 p. (2020). Reviewer: Mohammad Bagher Ghaemi (Tehran) MSC: 47-02 47S05 47A60 47B40 PDFBibTeX XMLCite \textit{J. Gantner}, Operator theory on one-sided quaternionic linear spaces: intrinsic \(S\)-functional calculus and spectral operators. Providence, RI: American Mathematical Society (AMS) (2020; Zbl 1479.47001) Full Text: DOI arXiv
Bock, Sebastian A generalized monogenic exponential function in \(\mathbb{H}\). (English) Zbl 1436.30041 Complex Var. Elliptic Equ. 64, No. 11, 1881-1897 (2019). Reviewer: Linda R. Sons (DeKalb) MSC: 30G35 33B10 PDFBibTeX XMLCite \textit{S. Bock}, Complex Var. Elliptic Equ. 64, No. 11, 1881--1897 (2019; Zbl 1436.30041) Full Text: DOI
Kim, Ji Eun Properties of hyperholomorphic functions and integrals for commutative-quaternionic valued functions. (English) Zbl 1438.32018 J. Nonlinear Sci. Appl. 11, No. 4, 469-476 (2018). MSC: 32A99 32W50 30G35 11E88 PDFBibTeX XMLCite \textit{J. E. Kim}, J. Nonlinear Sci. Appl. 11, No. 4, 469--476 (2018; Zbl 1438.32018) Full Text: DOI
Cação, Isabel; Falcão, Maria Irene; Malonek, Helmuth Hypercomplex polynomials, Vietoris’ rational numbers and a related integer numbers sequence. (English) Zbl 1375.30068 Complex Anal. Oper. Theory 11, No. 5, 1059-1076 (2017). MSC: 30G35 PDFBibTeX XMLCite \textit{I. Cação} et al., Complex Anal. Oper. Theory 11, No. 5, 1059--1076 (2017; Zbl 1375.30068) Full Text: DOI Link
Kumar, Sanjay; Manzoor, Khalid; Singh, Pavinder Composition operators in Bloch spaces of slice hyperholomorphic functions. (English) Zbl 1369.30061 Adv. Appl. Clifford Algebr. 27, No. 2, 1459-1477 (2017). MSC: 30G35 30H30 47B33 PDFBibTeX XMLCite \textit{S. Kumar} et al., Adv. Appl. Clifford Algebr. 27, No. 2, 1459--1477 (2017; Zbl 1369.30061) Full Text: DOI
Alpay, Daniel; Bolotnikov, Vladimir; Colombo, Fabrizio; Sabadini, Irene Interpolation problems for certain classes of slice hyperholomorphic functions. (English) Zbl 1353.30049 Integral Equations Oper. Theory 86, No. 2, 165-183 (2016). MSC: 30G35 30E05 PDFBibTeX XMLCite \textit{D. Alpay} et al., Integral Equations Oper. Theory 86, No. 2, 165--183 (2016; Zbl 1353.30049) Full Text: DOI
Morais, J.; Kou, K. I.; Le, H. T. Generalized holomorphic orthogonal function systems over infinite cylinders. (English) Zbl 1370.30022 Math. Methods Appl. Sci. 38, No. 12, 2574-2588 (2015). MSC: 30G35 PDFBibTeX XMLCite \textit{J. Morais} et al., Math. Methods Appl. Sci. 38, No. 12, 2574--2588 (2015; Zbl 1370.30022) Full Text: DOI
Alpay, Daniel; Colombo, Fabrizio; Gantner, Jonathan; Sabadini, Irene A new resolvent equation for the \(S\)-functional calculus. (English) Zbl 1354.47016 J. Geom. Anal. 25, No. 3, 1939-1968 (2015). Reviewer: Khristo N. Boyadzhiev (Ada) MSC: 47A60 47A13 30G35 PDFBibTeX XMLCite \textit{D. Alpay} et al., J. Geom. Anal. 25, No. 3, 1939--1968 (2015; Zbl 1354.47016) Full Text: DOI arXiv
Castillo Villalba, C. Marco Polo; Colombo, Fabrizio; Gantner, Jonathan; González-Cervantes, J. Oscar Bloch, Besov and Dirichlet spaces of slice hyperholomorphic functions. (English) Zbl 1308.30056 Complex Anal. Oper. Theory 9, No. 2, 479-517 (2015). MSC: 30G35 30H99 PDFBibTeX XMLCite \textit{C. M. P. Castillo Villalba} et al., Complex Anal. Oper. Theory 9, No. 2, 479--517 (2015; Zbl 1308.30056) Full Text: DOI arXiv
Kraußhar, Rolf Sören; Tolksdorf, Jürgen Applications of hypercomplex automorphic forms in Yang-Mills gauge theories. (English) Zbl 1307.30092 Complex Anal. Oper. Theory 9, No. 2, 431-444 (2015). MSC: 30G35 70S15 PDFBibTeX XMLCite \textit{R. S. Kraußhar} and \textit{J. Tolksdorf}, Complex Anal. Oper. Theory 9, No. 2, 431--444 (2015; Zbl 1307.30092) Full Text: DOI arXiv
Bolotnikov, Vladimir Pick matricies and quaternionic power series. (English) Zbl 1304.30066 Integral Equations Oper. Theory 80, No. 2, 293-302 (2014). MSC: 30G30 30E05 47A57 PDFBibTeX XMLCite \textit{V. Bolotnikov}, Integral Equations Oper. Theory 80, No. 2, 293--302 (2014; Zbl 1304.30066) Full Text: DOI arXiv
Alpay, Daniel; Colombo, F.; Sabadini, I. On some notions of convergence for \(n\)-tuples of operators. (English) Zbl 1322.47011 Math. Methods Appl. Sci. 37, No. 16, 2363-2371 (2014). Reviewer: Dan E. Popovici (Timişoara) MSC: 47A13 47A58 30G35 47A10 47A60 PDFBibTeX XMLCite \textit{D. Alpay} et al., Math. Methods Appl. Sci. 37, No. 16, 2363--2371 (2014; Zbl 1322.47011) Full Text: DOI
Cruz, Carla; Falcão, Maria Irene; Malonek, Helmuth R. Monogenic pseudo-complex power functions and their applications. (English) Zbl 1300.30090 Math. Methods Appl. Sci. 37, No. 12, 1723-1735 (2014). MSC: 30G35 PDFBibTeX XMLCite \textit{C. Cruz} et al., Math. Methods Appl. Sci. 37, No. 12, 1723--1735 (2014; Zbl 1300.30090) Full Text: DOI Link
Álvarez-Peña, Cynthia; Porter, R. Michael Appell bases for monogenic functions of three variables. (English) Zbl 1293.30088 Adv. Appl. Clifford Algebr. 23, No. 3, 547-560 (2013). Reviewer: Juan Bory Reyes (Santiago de Cuba) MSC: 30G35 PDFBibTeX XMLCite \textit{C. Álvarez-Peña} and \textit{R. M. Porter}, Adv. Appl. Clifford Algebr. 23, No. 3, 547--560 (2013; Zbl 1293.30088) Full Text: DOI
Morais, J.; Avetisyan, K.; Gürlebeck, K. On Riesz systems of harmonic conjugates in \(\mathbb R^3\). (English) Zbl 1309.30044 Math. Methods Appl. Sci. 36, No. 12, 1598-1614 (2013). MSC: 30G35 31B05 PDFBibTeX XMLCite \textit{J. Morais} et al., Math. Methods Appl. Sci. 36, No. 12, 1598--1614 (2013; Zbl 1309.30044) Full Text: DOI
Morais, J.; Kou, K. I.; Georgiev, S. On convergence properties of 3D spheroidal monogenics. (English) Zbl 1295.30115 Int. J. Wavelets Multiresolut. Inf. Process. 11, No. 3, Article ID 1350024, 19 p. (2013). Reviewer: Wolfgang Sprößig (Freiberg) MSC: 30G35 PDFBibTeX XMLCite \textit{J. Morais} et al., Int. J. Wavelets Multiresolut. Inf. Process. 11, No. 3, Article ID 1350024, 19 p. (2013; Zbl 1295.30115) Full Text: DOI
Hitzer, Eckhard; Nitta, Tohru; Kuroe, Yasuaki Applications of Clifford’s geometric algebra. (English) Zbl 1269.15022 Adv. Appl. Clifford Algebr. 23, No. 2, 377-404 (2013). MSC: 15A66 15-02 PDFBibTeX XMLCite \textit{E. Hitzer} et al., Adv. Appl. Clifford Algebr. 23, No. 2, 377--404 (2013; Zbl 1269.15022) Full Text: DOI arXiv
Salamon, Dietmar The three-dimensional Fueter equation and divergence-free frames. (English) Zbl 1280.53073 Abh. Math. Semin. Univ. Hamb. 83, No. 1, 1-28 (2013). Reviewer: Xiaojun Chen (Chengdu) MSC: 53D40 53C26 PDFBibTeX XMLCite \textit{D. Salamon}, Abh. Math. Semin. Univ. Hamb. 83, No. 1, 1--28 (2013; Zbl 1280.53073) Full Text: DOI arXiv Link
Colombo, Fabrizio; González-Cervantes, J. Oscar; Sabadini, Irene A nonconstant coefficients differential operator associated to slice monogenic functions. (English) Zbl 1278.30047 Trans. Am. Math. Soc. 365, No. 1, 303-318 (2013). Reviewer: Nele De Schepper (Gent) MSC: 30G35 PDFBibTeX XMLCite \textit{F. Colombo} et al., Trans. Am. Math. Soc. 365, No. 1, 303--318 (2013; Zbl 1278.30047) Full Text: DOI
Liao, Jianquan; Li, Xingmin A note on Laurent series of the octonionic analytic functions. (English) Zbl 1257.30056 Adv. Appl. Clifford Algebr. 22, No. 2, 415-432 (2012). MSC: 30G35 PDFBibTeX XMLCite \textit{J. Liao} and \textit{X. Li}, Adv. Appl. Clifford Algebr. 22, No. 2, 415--432 (2012; Zbl 1257.30056) Full Text: DOI
Yefremov, A. P. Fundamental properties of quaternion spinors. (English) Zbl 1258.83040 Gravit. Cosmol. 18, No. 3, 188-195 (2012). MSC: 83C60 11R52 81S10 83A05 PDFBibTeX XMLCite \textit{A. P. Yefremov}, Gravit. Cosmol. 18, No. 3, 188--195 (2012; Zbl 1258.83040) Full Text: DOI arXiv
Zayed, Mohra; Abul-Ez, Mahmoud; Morais, João Pedro Generalized derivative and primitive of Cliffordian bases of polynomials constructed through Appell monomials. (English) Zbl 1257.30058 Comput. Methods Funct. Theory 12, No. 2, 501-515 (2012). MSC: 30G35 41A10 PDFBibTeX XMLCite \textit{M. Zayed} et al., Comput. Methods Funct. Theory 12, No. 2, 501--515 (2012; Zbl 1257.30058) Full Text: DOI
Cação, Isabel; Falcão, Maria Irene; Malonek, Helmuth R. Matrix representations of a special polynomial sequence in arbitrary dimension. (English) Zbl 1272.30069 Comput. Methods Funct. Theory 12, No. 2, 371-391 (2012). Reviewer: Ilie Valuşescu (Bucureşti) MSC: 30G35 PDFBibTeX XMLCite \textit{I. Cação} et al., Comput. Methods Funct. Theory 12, No. 2, 371--391 (2012; Zbl 1272.30069) Full Text: DOI
Malonek, H. R.; Falcão, M. I. On paravector valued homogeneous monogenic polynomials with binomial expansion. (English) Zbl 1264.30038 Adv. Appl. Clifford Algebr. 22, No. 3, 789-801 (2012). Reviewer: Wolfgang Sprößig (Freiberg) MSC: 30G35 PDFBibTeX XMLCite \textit{H. R. Malonek} and \textit{M. I. Falcão}, Adv. Appl. Clifford Algebr. 22, No. 3, 789--801 (2012; Zbl 1264.30038) Full Text: DOI Link
Qian, Tao; Sprößig, Wolfgang; Wang, Jinxun Adaptive Fourier decomposition of functions in quaternionic Hardy spaces. (English) Zbl 1254.30086 Math. Methods Appl. Sci. 35, No. 1, 43-64 (2012). MSC: 30G35 30H10 41A20 41A25 41A50 46E20 PDFBibTeX XMLCite \textit{T. Qian} et al., Math. Methods Appl. Sci. 35, No. 1, 43--64 (2012; Zbl 1254.30086) Full Text: DOI
Yefremov, A. P. The conic-gearing image of a complex number and a spinor-Born surface geometry. (English) Zbl 1232.81026 Gravit. Cosmol. 17, No. 1, 1-6 (2011). MSC: 81S10 81Q05 11R52 PDFBibTeX XMLCite \textit{A. P. Yefremov}, Gravit. Cosmol. 17, No. 1, 1--6 (2011; Zbl 1232.81026) Full Text: DOI arXiv
Morais, J.; Le, H. T. Orthogonal Appell systems of monogenic functions in the cylinder. (English) Zbl 1226.30045 Math. Methods Appl. Sci. 34, No. 12, 1472-1486 (2011). Reviewer: Nele De Schepper (Gent) MSC: 30G35 31B05 PDFBibTeX XMLCite \textit{J. Morais} and \textit{H. T. Le}, Math. Methods Appl. Sci. 34, No. 12, 1472--1486 (2011; Zbl 1226.30045) Full Text: DOI
Malonek, H. R.; Falcão, M. I. 3D-mappings by means of monogenic functions and their approximation. (English) Zbl 1198.30050 Math. Methods Appl. Sci. 33, No. 4, 423-430 (2010). Reviewer: Uwe Kähler (Aveiro) MSC: 30G35 30C65 30C30 PDFBibTeX XMLCite \textit{H. R. Malonek} and \textit{M. I. Falcão}, Math. Methods Appl. Sci. 33, No. 4, 423--430 (2010; Zbl 1198.30050) Full Text: DOI Link
Rochon, Dominic A bicomplex Riemann zeta function. (English) Zbl 1075.30025 Tokyo J. Math. 27, No. 2, 357-369 (2004). Reviewer: Mirela Kohr (Cluj-Napoca) MSC: 30G35 32A30 PDFBibTeX XMLCite \textit{D. Rochon}, Tokyo J. Math. 27, No. 2, 357--369 (2004; Zbl 1075.30025) Full Text: DOI
Gal, Sorin G. Elements of geometric theory for functions of quaternionic variable. (English) Zbl 0965.30022 Adv. Appl. Clifford Algebr. 10, No. 1, 91-106 (2000). Reviewer: Vladislav Kravchenko (México) MSC: 30G35 PDFBibTeX XMLCite \textit{S. G. Gal}, Adv. Appl. Clifford Algebr. 10, No. 1, 91--106 (2000; Zbl 0965.30022) Full Text: DOI
Sprössing, W. On operators and elementary functions in Clifford analysis. (English) Zbl 0962.30026 Z. Anal. Anwend. 18, No. 2, 349-360 (1999). Reviewer: Klaus Habetha (Aachen) MSC: 30G35 PDFBibTeX XMLCite \textit{W. Sprössing}, Z. Anal. Anwend. 18, No. 2, 349--360 (1999; Zbl 0962.30026) Full Text: DOI EuDML
Schwab, A. A. Boundary integral equations for inverse problems in the elasticity theory. (English) Zbl 0840.73015 J. Elasticity 41, No. 3, 151-160 (1995). MSC: 74B99 74H99 35R30 PDFBibTeX XMLCite \textit{A. A. Schwab}, J. Elasticity 41, No. 3, 151--160 (1995; Zbl 0840.73015) Full Text: DOI
Malonek, H.; Müller, B. Definition and properties of a hypercomplex singular integral operator. (English) Zbl 0899.47036 Result. Math. 22, No. 3-4, 713-724 (1992). Reviewer: John Ryan (MR 94g:47062) MSC: 47G10 46E10 30G35 PDFBibTeX XMLCite \textit{H. Malonek} and \textit{B. Müller}, Result. Math. 22, No. 3--4, 713--724 (1992; Zbl 0899.47036) Full Text: DOI
Brackx, F. F. The exponential function of a quaternion variable. (English) Zbl 0399.30039 Appl. Anal. 8, 265-276 (1979). MSC: 30G35 30A05 PDFBibTeX XMLCite \textit{F. F. Brackx}, Appl. Anal. 8, 265--276 (1979; Zbl 0399.30039) Full Text: DOI
Vinogradov, V. S. Investigation of boundary value problems for elliptic systems of first order. (Author’s abstract of the doctoral dissertation.). (English. Russian original) Zbl 0284.35025 Math. Notes 14(1973), 724-731 (1974); translation from Mat. Zametki 14, 291-304 (1973). MSC: 35J55 35B45 PDFBibTeX XMLCite \textit{V. S. Vinogradov}, Math. Notes 14, 724--731 (1974; Zbl 0284.35025); translation from Mat. Zametki 14, 291--304 (1973) Full Text: DOI
Maia, M. D. On a class of quaternion functions. (English) Zbl 0342.30022 Bol. Soc. Bras. Mat. 3, 57-78 (1972). MSC: 30G35 PDFBibTeX XMLCite \textit{M. D. Maia}, Bol. Soc. Bras. Mat. 3, 57--78 (1972; Zbl 0342.30022) Full Text: DOI