Lávička, R.; Souček, V.; Wang, W. Massless field equations for spin 3/2 in dimension 6. (English) Zbl 07944324 J. Geom. Phys. 206, Article ID 105341, 29 p. (2024). MSC: 30G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alfonso Santiesteban, Daniel; Abreu Blaya, Ricardo; Peña Pérez, Yudier; Sigarreta Almira, José María Fractional Fischer decompositions by inframonogenic functions. (English) Zbl 1548.30136 J. Math. Anal. Appl. 539, No. 1, Part 1, Article ID 128468, 14 p. (2024). MSC: 30G35 × Cite Format Result Cite Review PDF Full Text: DOI
De Medts, Tom; Stout, Mathias Matsuo algebras in characteristic \(2\). (English) Zbl 1537.20005 J. Algebra 650, 145-172 (2024). MSC: 20B25 20F29 17A99 51E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aldaz, J. M.; Render, H. A Fischer type decomposition theorem from the apolar inner product. (English) Zbl 1531.32005 Anal. Math. Phys. 13, No. 6, Paper No. 91, 29 p. (2023). MSC: 32A15 32A08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brackx, Fred; De Schepper, Hennie; Lávička, Roman; Souček, Vladimír; Wang, Wei Fischer decomposition of massless fields for spin 3/2 in dimension 4. (English) Zbl 1492.30097 Adv. Appl. Clifford Algebr. 32, No. 1, Paper No. 6, 16 p. (2022). Reviewer: María Elena Luna Elizarrarás (Holon) MSC: 30G35 33C55 22E46 × Cite Format Result Cite Review PDF Full Text: DOI Link
Ding, C.; Ryan, J. On some conformally invariant operators in Euclidean space. (English) Zbl 1402.30044 Cerejeiras, Paula (ed.) et al., Clifford analysis and related topics. In honor of Paul A. M. Dirac, CART 2014, Tallahassee, Florida, December 15–17, 2014. Cham: Springer (ISBN 978-3-030-00047-9/hbk; 978-3-030-00049-3/ebook). Springer Proceedings in Mathematics & Statistics 260, 53-72 (2018). MSC: 30G35 53C27 53C28 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brackx, F.; de Schepper, H.; Krump, L.; Souček, V. Fischer decomposition for massless fields of spin 1 in dimension 4. (English) Zbl 1468.30082 Complex Anal. Oper. Theory 12, No. 2, 439-456 (2018). Reviewer: Juan Bory-Reyes (Cidudad de México) MSC: 30G35 × Cite Format Result Cite Review PDF Full Text: DOI Link
Brackx, F.; De Schepper, H.; Eelbode, D.; Lávička, R.; Souček, V. Fischer decomposition for the symplectic group. (English) Zbl 1390.30054 J. Math. Anal. Appl. 458, No. 1, 831-848 (2018). Reviewer: Linda R. Sons (DeKalb) MSC: 30G35 × Cite Format Result Cite Review PDF Full Text: DOI Link
Cerejeiras, P.; Fonseca, A.; Kähler, U.; Vieira, N. Fischer decomposition in generalized fractional Clifford analysis. (English) Zbl 1388.30066 Colombo, Fabrizio (ed.) et al., Advances in complex analysis and operator theory. Festschrift in honor of Daniel Alpay’s 60th birthday. Contributions partly based on the presentations at the international conference on complex analysis and operator theory, Chapman University, Orange, CA, USA, November 2016. Cham: Birkhäuser/Springer (ISBN 978-3-319-62361-0/hbk; 978-3-319-62362-7/ebook). Trends in Mathematics, 37-53 (2017). MSC: 30G35 26A33 × Cite Format Result Cite Review PDF Full Text: DOI Link
Curtis, Frank E.; Raghunathan, Arvind U. Solving nearly-separable quadratic optimization problems as nonsmooth equations. (English) Zbl 1370.90169 Comput. Optim. Appl. 67, No. 2, 317-360 (2017). MSC: 90C20 90C33 49M05 49M15 49M27 49M29 65K05 65K10 × Cite Format Result Cite Review PDF Full Text: DOI
Vieira, N. Fischer decomposition and Cauchy-Kovalevskaya extension in fractional Clifford analysis: the Riemann-Liouville case. (English) Zbl 1364.30059 Proc. Edinb. Math. Soc., II. Ser. 60, No. 1, 251-272 (2017). MSC: 30G35 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Bory Reyes, Juan; De Schepper, Hennie; Guzmán Adán, Alí; Sommen, Frank On a mixed Fischer decomposition in Clifford analysis. (English) Zbl 1364.30055 Complex Anal. Oper. Theory 11, No. 2, 359-374 (2017). MSC: 30G35 × Cite Format Result Cite Review PDF Full Text: DOI
Burcea, Valentin Real submanifolds in complex spaces. (English) Zbl 1359.32029 Acta Math. Sin., Engl. Ser. 33, No. 1, 1-20 (2017). MSC: 32V40 32H02 32V99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
De Medts, Tom; Rehren, Felix Jordan algebras and 3-transposition groups. (English) Zbl 1386.17028 J. Algebra 478, 318-340 (2017). MSC: 17C50 17B22 20B05 20F55 17C27 17C30 05B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brackx, Fred; De Schepper, Hennie; Eelbode, David; Lávička, Roman; Souček, Vladimir Fischer decomposition for \(\mathfrak{osp}(4|2)\)-monogenics in quaternionic Clifford analysis. (English) Zbl 1361.30085 Math. Methods Appl. Sci. 39, No. 16, 4874-4891 (2016). Reviewer: Linda R. Sons (DeKalb) MSC: 30G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Burcea, Valentin Normal forms and degenerate CR singularities. (English) Zbl 1342.32002 Complex Var. Elliptic Equ. 61, No. 9, 1314-1333 (2016). MSC: 32A05 32V99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lávička, Roman; Šmíd, Dalibor Fischer decomposition for polynomials on superspace. (English) Zbl 1366.58004 J. Math. Phys. 56, No. 11, 111704, 9 p. (2015). Reviewer: Zain Shaikh (Paderborn) MSC: 58C50 17B10 81R10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kähler, Uwe; Vieira, Nelson Fractional Clifford analysis. (English) Zbl 1314.30104 Bernstein, Swanhild (ed.) et al., Hypercomplex analysis: new perspectives and applications. Selected papers presented at the session on Clifford and quaternionic analysis at the 9th congress of the International Society for Analysis, its Applications, and Computation (ISAAC), Krakow, Poland, August 5–9, 2013. New York, NY: Birkhäuser/Springer (ISBN 978-3-319-08770-2/hbk; 978-3-319-08771-9/ebook). Trends in Mathematics, 191-201 (2014). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 30G35 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Brackx, F.; De Schepper, H.; Eelbode, D.; Lávička, R.; Souček, V. Fischer decomposition in symplectic harmonic analysis. (English) Zbl 1337.15021 Ann. Global Anal. Geom. 46, No. 4, 409-430 (2014). Reviewer: Wolfgang Sprößig (Freiberg) MSC: 15A66 30G35 43A50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
De Bie, Hendrik; Somberg, Petr; Souček, Vladimir The metaplectic Howe duality and polynomial solutions for the symplectic Dirac operator. (English) Zbl 1279.30051 J. Geom. Phys. 75, 120-128 (2014). MSC: 30G35 37J05 17B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dunkl, Charles F.; Li, Junxia; Ryan, John; van Lancker, Peter Some Rarita-Schwinger type operators. (English) Zbl 1309.30041 Comput. Methods Funct. Theory 13, No. 3, 397-424 (2013). MSC: 30G35 33C55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Peña Peña, Dixan Shifted Appell sequences in Clifford analysis. (English) Zbl 1278.30054 Result. Math. 63, No. 3-4, 1145-1157 (2013). Reviewer: Regina de Almeida (Vila Real) MSC: 30G35 12E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Van Lancker, P. The monogenic Fischer decomposition: two vector variables. (English) Zbl 1275.30026 Complex Anal. Oper. Theory 6, No. 2, 425-446 (2012). MSC: 30G35 × Cite Format Result Cite Review PDF Full Text: DOI Link
Li, Junxia; Ryan, John; Vanegas, Carmen J. Rarita-Schwinger type operators on spheres and real projective space. (English) Zbl 1274.30166 Arch. Math., Brno 48, No. 4, 271-289 (2012). Reviewer: Josef Šilhan (Brno) MSC: 30G35 53C27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EMIS
de Schepper, N.; Sommen, F. Closed form of the Fourier-Borel kernel in the framework of Clifford analysis. (English) Zbl 1264.30041 Result. Math. 62, No. 1-2, 181-202 (2012). Reviewer: Kevin Coulembier (Gent) MSC: 30G35 42B10 × Cite Format Result Cite Review PDF Full Text: DOI
Elizar’ev, I. N.; Napalkov, V. V. Fischer decomposition for a class of inhomogeneous polynomials. (English. Russian original) Zbl 1258.32001 Dokl. Math. 85, No. 2, 196-197 (2012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 443, No. 2, 156-157 (2012). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 32A15 32W50 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Junxia; Ryan, John Some operators associated with Rarita-Schwinger type operators. (English) Zbl 1267.30103 Complex Var. Elliptic Equ. 57, No. 7-8, 885-902 (2012). Reviewer: Sirkka-Liisa Eriksson (Tampere) MSC: 30G35 53C27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Souček, Vladimír; Delanghe, Richard; Lávička, Roman The Fischer decomposition for Hodge-de Rham systems in Euclidean spaces. (English) Zbl 1253.30075 Math. Methods Appl. Sci. 35, No. 1, 10-16 (2012). MSC: 30G35 58A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Lávička, Roman The Fischer decomposition for the \(H\)-action and its applications. (English) Zbl 1217.30046 Sabadini, Irene (ed.) et al., Hypercomplex analysis and applications. Selected papers presented at the session ‘Clifford and quaternionic analysis’ of the 7th ISAAC conference, London, UK, July 2009. Basel: Birkhäuser (ISBN 978-3-0346-0245-7/hbk). Trends in Mathematics, 139-148 (2011). Reviewer: Nele De Schepper (Gent) MSC: 30G35 58A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lundberg, Erik; Render, Hermann The Khavinson-Shapiro conjecture and polynomial decompositions. (English) Zbl 1223.35101 J. Math. Anal. Appl. 376, No. 2, 506-513 (2011). Reviewer: Michael Reissig (Freiberg) MSC: 35C05 31B30 35J40 11C08 × Cite Format Result Cite Review PDF Full Text: DOI
Brackx, Fred; De Schepper, Hennie; Souček, Vladimír Fischer decompositions in Euclidean and Hermitean Clifford analysis. (English) Zbl 1249.30135 Arch. Math., Brno 46, No. 5, 301-321 (2010). Reviewer: Martin Čadek (Brno) MSC: 30G35 × Cite Format Result Cite Review PDF Full Text: EuDML EMIS
Ren, Guangbin Howe duality in Dunkl superspace. (English) Zbl 1213.30087 Sci. China, Math. 53, No. 12, 3153-3162 (2010). Reviewer: Nele De Schepper (Gent) MSC: 30G35 31A30 33C52 58C50 × Cite Format Result Cite Review PDF Full Text: DOI
Render, Hermann Cauchy, Goursat and Dirichlet problems for holomorphic partial differential equations. (English) Zbl 1207.35013 Comput. Methods Funct. Theory 10, No. 2, 519-554 (2010). MSC: 35A20 35A10 31B30 × Cite Format Result Cite Review PDF Full Text: DOI Link
Malonek, Helmuth R.; Peña Peña, Dixan; Sommen, Frank Fischer decomposition by inframonogenic functions. (English) Zbl 1217.30047 Cubo 12, No. 2, 189-197 (2010). Reviewer: Klaus Habetha (Aachen) MSC: 30G35 31B30 35G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
De Ridder, Hilde; De Schepper, Hennie; Kähler, Uwe; Sommen, Frank Discrete function theory based on skew Weyl relations. (English) Zbl 1201.30062 Proc. Am. Math. Soc. 138, No. 9, 3241-3256 (2010). Reviewer: Vladimir Răsvan (Craiova) MSC: 30G35 39A12 39A70 06D50 × Cite Format Result Cite Review PDF Full Text: DOI
Peña, Dixan Peña; Sommen, Frank Fueter’s theorem: the saga continues. (English) Zbl 1183.30056 J. Math. Anal. Appl. 365, No. 1, 29-35 (2010). MSC: 30G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Souček, Vladimír Symmetries of PDE’s in Clifford analysis and their applications. (English) Zbl 1182.30093 Simos, Theodore E. (ed.) et al., Numerical analysis and applied mathematics. International conference on numerical analysis and applied mathematics 2009, Rethymno, Crete, Greece, September 18–22, 2009. Vol. 1. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0705-3/hbk; 978-0-7354-0709-1/set). AIP Conference Proceedings 1168, 1, 32-35 (2009). MSC: 30G35 35J99 × Cite Format Result Cite Review PDF Full Text: DOI
Eelbode, David; Šmid, Dalibor Algebra of invariants for the Rarita-Schwinger operators. (English) Zbl 1227.15022 Ann. Acad. Sci. Fenn., Math. 34, No. 2, 637-649 (2009). MSC: 15A66 81Q05 × Cite Format Result Cite Review PDF
Bernardes, Gil; Cerejeiras, Paula; Kähler, Uwe Fischer decomposition and Cauchy kernel for Dunkl-Dirac operators. (English) Zbl 1172.30020 Adv. Appl. Clifford Algebr. 19, No. 2, 163-171 (2009). MSC: 30G35 42A38 × Cite Format Result Cite Review PDF Full Text: DOI
Eelbode, David; Šmíd, Dalibor Polynomial invariants for the Rarita-Schwinger operator. (English) Zbl 1169.15009 Sabadini, Irene (ed.) et al., Hypercomplex analysis. Selected papers of the 6th ISAAC conference, Ankara, Turkey, August 13–18, 2007. Basel: Birkhäuser (ISBN 978-3-7643-9892-7/hbk; 978-3-7643-9893-4/e-book). Trends in Mathematics, 125-135 (2009). MSC: 15A66 × Cite Format Result Cite Review PDF Full Text: DOI
Brackx, Fred; De Schepper, Hennie; Sommen, Frank The Hermitian Clifford analysis toolbox. (English) Zbl 1177.30064 Adv. Appl. Clifford Algebr. 18, No. 3-4, 451-487 (2008). MSC: 30G35 46F10 × Cite Format Result Cite Review PDF Full Text: DOI
Vieira, Nelson Powers of the parabolic Dirac operator. (English) Zbl 1179.35024 Adv. Appl. Clifford Algebr. 18, No. 3-4, 1023-1032 (2008). MSC: 35A25 35Q41 30G35 35A08 15A66 × Cite Format Result Cite Review PDF Full Text: DOI
Brackx, F.; De Schepper, H.; Eelbode, D.; Souček, V. Explicit formulae for the Hermitean monogenic projection operator. (English) Zbl 1170.30021 Simos, Theodore E. (ed.) et al., Numerical analysis and applied mathematics. International conference on numerical analysis and applied mathematics 2008, Psalidi, Kos, Greece, 16–20 September 2008. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0576-9/hbk). AIP Conference Proceedings 1048, 658-661 (2008). Reviewer: George Csordas (Honolulu) MSC: 30G35 30D99 × Cite Format Result Cite Review PDF
De Bie, H.; Sommen, F. Fischer decompositions in superspace. (English) Zbl 1168.58004 Le Hung Son (ed.) et al., Function spaces in complex and Clifford analysis. Proceedings of the 14th international conference on finite or infinite dimensional complex analysis and applications (ICFICCA 2006), Hue, Vietnam, August 1–5, 2007. Hanoi: National University Publishers. 107-188 (2008). Reviewer: Klaus Habetha (Aachen) MSC: 58C50 30G35 × Cite Format Result Cite Review PDF
Eelbode, D. Stirling numbers and spin-Euler polynomials. (English) Zbl 1201.30064 Exp. Math. 16, No. 1, 55-66 (2007). MSC: 30G35 32W50 15A66 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Anghel, Nicolae Projecting on polynomial Dirac spinors. (English) Zbl 1121.15027 Mladenov, Ivaïlo (ed.) et al., Proceedings of the 8th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 9–14, 2006. Sofia: Bulgarian Academy of Sciences (ISBN 978-954-8495-37-0/pbk). 121-126 (2007). MSC: 15A66 31B05 31B20 81R25 × Cite Format Result Cite Review PDF
Cerejeiras, P.; Sommen, F.; Vieira, N. Fischer decomposition and special solutions for the parabolic Dirac operator. (English) Zbl 1128.30015 Math. Methods Appl. Sci. 30, No. 9, 1057-1069 (2007). Reviewer: Wolfgang Sprößig (Freiberg) MSC: 30G35 35A08 15A66 × Cite Format Result Cite Review PDF Full Text: DOI
Faustino, N.; Kähler, U. Fischer decomposition for difference Dirac operators. (English) Zbl 1116.15023 Adv. Appl. Clifford Algebr. 17, No. 1, 37-58 (2007). Reviewer: Georgi Hristov Georgiev (Shumen) MSC: 15A66 30G35 30G25 39A12 39A70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brackx, Fred; de Schepper, Nele; Sommen, Frank Metric dependent Clifford analysis with applications to wavelet analysis. (English) Zbl 1152.30051 Alpay, Daniel (ed.), Wavelets, multiscale systems and hypercomplex analysis. Basel: Birkhäuser (ISBN 3-7643-7587-6/hbk). Operator Theory: Advances and Applications 167, 17-67 (2006). Reviewer: Hu Chuangan (Tianjin) MSC: 30G35 42C40 44A15 × Cite Format Result Cite Review PDF
Chen, Jein-Shan Alternative proofs for some results of vector-valued functions associated with second-order cone. (English) Zbl 1071.49014 J. Nonlinear Convex Anal. 6, No. 2, 297-325 (2005). MSC: 49J52 26A27 26B05 90C33 65K05 26B35 × Cite Format Result Cite Review PDF
De Guzman, M.; Rubio, B. Integration: theory and techniques. (Integration: teoria y tecnicas.). (Spanish) Zbl 0435.28001 Madrid: Editorial Alhambra, S.A. X, 171 p. (1979). MSC: 28-01 28A12 28A25 28A35 46E30 28A20 26A42 46M35 28A15 × Cite Format Result Cite Review PDF
Galkin, V. M. Finite distributive quasigroups. (English) Zbl 0403.20046 Math. Notes 24, 525-526 (1979). MSC: 20N05 × Cite Format Result Cite Review PDF Full Text: DOI