Johnston, William; Wahl, Rebecca G. Idempotent vector spaces and their linear transformations. (English) Zbl 07925067 Concr. Oper. 11, Article ID 20240003, 13 p. (2024). Reviewer: Jaydeb Sarkar (Bangalore) MSC: 15A03 15A20 15A66 47A15 47B07 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Toksoy, Erdem; Sağır, Birsen On geometrical characteristics and inequalities of new bicomplex Lebesgue spaces with hyperbolic-valued norm. (English) Zbl 07864238 Georgian Math. J. 31, No. 3, 483-495 (2024). MSC: 46B20 46E30 43A15 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Zekun; Dai, Binlin The Schwarz lemma in bicomplex analysis. (English) Zbl 1529.30050 Math. Methods Appl. Sci. 46, No. 8, 9351-9361 (2023). MSC: 30G35 30C80 × Cite Format Result Cite Review PDF Full Text: DOI
Reséndis O., Lino F.; Tovar S., Luis M.; Bravo O., Yesenia Conjugate complex harmonic functions. (English) Zbl 1529.30053 Arab. J. Math. 12, No. 3, 667-684 (2023). MSC: 30G35 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Abouricha, Abdelkader; El Gourari, Aiad; Ghanmi, Allal Mean value theorems for bicomplex harmonic functions. (English) Zbl 1521.31014 Adv. Appl. Clifford Algebr. 33, No. 4, Paper No. 41, 16 p. (2023). MSC: 31B35 31B30 × Cite Format Result Cite Review PDF Full Text: DOI
Koumantos, Panagiotis N. On the mean ergodic theorem in bicomplex Banach modules. (English) Zbl 07650809 Adv. Appl. Clifford Algebr. 33, No. 1, Paper No. 14, 19 p. (2023). MSC: 47A35 37A30 46A19 30G35 × Cite Format Result Cite Review PDF Full Text: DOI
Gargoubi, Hichem; Kossentini, Sayed Bicomplex numbers as a normal complexified \(f\)-algebra. (English) Zbl 07888811 Commun. Math. 30, No. 1, 125-142 (2022). MSC: 06F25 15A66 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Goswami, Mahesh Puri; Kumar, Raj Riemann-Liouville fractional operators of bicomplex order and its properties. (English) Zbl 1527.30033 Math. Methods Appl. Sci. 45, No. 10, 5699-5720 (2022). MSC: 30G35 × Cite Format Result Cite Review PDF Full Text: DOI
Kumar, Romesh; Singh, Kulbir Maximal ideals in a bicomplex algebra and bicomplex Gelfand-Mazur theorem. (English) Zbl 1504.46060 Complex Var. Elliptic Equ. 67, No. 10, 2545-2552 (2022). MSC: 46J05 46J10 46J20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Köme, Cahit; Köme, Sure; Catarino, Paula Quantum calculus approach to the dual bicomplex Fibonacci and Lucas numbers. (English) Zbl 1513.11048 J. Math. Ext. 16, No. 2, Paper No. 7, 17 p. (2022). MSC: 11B39 05A15 × Cite Format Result Cite Review PDF Full Text: DOI
Elgourari, Aiad; Ghanmi, Allal; El Ainin, Mohammed Souid Bicomplex frames. (English) Zbl 1513.42117 Sahand Commun. Math. Anal. 18, No. 3, 69-89 (2021). MSC: 42C15 41A58 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kunga, Stanzin; Sharma, Aditi Locally bicomplex convex module and their applications. (English) Zbl 1513.46002 Aust. J. Math. Anal. Appl. 18, No. 2, Article No. 10, 15 p. (2021). MSC: 46A04 47D06 × Cite Format Result Cite Review PDF Full Text: Link
Johnston, William; Makdad, Chloe M. A comparison of norms: bicomplex root and ratio tests and an extension theorem. (English) Zbl 1468.30087 Am. Math. Mon. 128, No. 6, 525-533 (2021). MSC: 30G35 30B10 × Cite Format Result Cite Review PDF Full Text: DOI
Saini, Heera; Sharma, Aditi; Kumar, Romesh Some fundamental theorems of functional analysis with bicomplex and hyperbolic scalars. (English) Zbl 1451.30096 Adv. Appl. Clifford Algebr. 30, No. 5, Paper No. 66, 22 p. (2020). MSC: 30G35 46A22 46A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
El Gourari, A.; Ghanmi, A.; Zine, K. On bicomplex Fourier-Wigner transforms. (English) Zbl 1446.30076 Int. J. Wavelets Multiresolut. Inf. Process. 18, No. 3, Article ID 2050008, 16 p. (2020). MSC: 30G35 44A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bilgin, Merve; Ersoy, Soley Algebraic properties of bihyperbolic numbers. (English) Zbl 1442.30049 Adv. Appl. Clifford Algebr. 30, No. 1, Paper No. 13, 17 p. (2020). MSC: 30G35 × Cite Format Result Cite Review PDF Full Text: DOI
Ghanmi, Allal; Zine, Khalil Bicomplex analogs of Segal-Bargmann and fractional Fourier transforms. (English) Zbl 1427.30076 Adv. Appl. Clifford Algebr. 29, No. 4, Paper No. 74, 20 p. (2019). MSC: 30G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Banerjee, A.; Deb, R. Bicomplex modules with indefinite inner product. (English) Zbl 1418.30043 Adv. Appl. Clifford Algebr. 29, No. 3, Paper No. 55, 25 p. (2019). MSC: 30G35 × Cite Format Result Cite Review PDF Full Text: DOI
Aydın, F. Torunbalcı Bicomplex Fibonacci quaternions. (English) Zbl 1392.11010 Chaos Solitons Fractals 106, 147-153 (2018); corrigendum ibid. 111, 235-238 (2018). MSC: 11B39 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ulrych, S. Holographic coordinates. (English) Zbl 1393.53015 J. Math. Anal. Appl. 465, No. 2, 1056-1074 (2018). MSC: 53A35 53A20 53Z05 83D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Banerjee, Abhijit Bicomplex harmonic and isotonic oscillators: the excited states. (English) Zbl 1380.30034 Adv. Appl. Clifford Algebr. 27, No. 3, 2321-2332 (2017). MSC: 30G35 35J10 × Cite Format Result Cite Review PDF Full Text: DOI
Banerjee, Abhijit On the quantum mechanics of bicomplex Hamiltonian system. (English) Zbl 1368.30022 Ann. Phys. 377, 493-505 (2017). MSC: 30G35 35J10 81Q12 × Cite Format Result Cite Review PDF Full Text: DOI
Theaker, Kyle A.; Van Gorder, Robert A. Multicomplex wave functions for linear and nonlinear Schrödinger equations. (English) Zbl 1369.30065 Adv. Appl. Clifford Algebr. 27, No. 2, 1857-1879 (2017). MSC: 30G35 35J10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Kumar, Romesh; Saini, Heera Topological bicomplex modules. (English) Zbl 1369.30060 Adv. Appl. Clifford Algebr. 26, No. 4, 1249-1270 (2016). MSC: 30G35 46A99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gargoubi, Hichem; Kossentini, Sayed \(f\)-algebra structure on hyperbolic numbers. (English) Zbl 1403.06028 Adv. Appl. Clifford Algebr. 26, No. 4, 1211-1233 (2016). MSC: 06F25 51N25 × Cite Format Result Cite Review PDF Full Text: DOI
Kumar, Romesh; Singh, Kulbir; Saini, Heera; Kumar, Sanjay Bicomplex weighted Hardy spaces and bicomplex \(C^*\)-algebras. (English) Zbl 1337.30059 Adv. Appl. Clifford Algebr. 26, No. 1, 217-235 (2016). MSC: 30G35 30H10 46L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kumar, Romesh; Singh, Kulbir Bicomplex linear operators on bicomplex Hilbert spaces and Littlewood’s subordination theorem. (English) Zbl 1337.47032 Adv. Appl. Clifford Algebr. 25, No. 3, 591-610 (2015). Reviewer: Linda R. Sons (DeKalb) MSC: 47B15 30G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Behboudi Asl, Manouchehr; Salimov, Arif On anti-Hermitian metric connections preserving a bicomplex structure. (English) Zbl 1298.30041 Adv. Appl. Clifford Algebr. 24, No. 1, 11-21 (2014). MSC: 30G35 × Cite Format Result Cite Review PDF Full Text: DOI
Charak, Kuldeep Singh; Kumar, Ravinder; Rochon, Dominic Infinite dimensional bicomplex spectral decomposition theorem. (English) Zbl 1471.47011 Adv. Appl. Clifford Algebr. 23, No. 3, 593-605 (2013). MSC: 47B02 46C50 30G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Salimov, A. A.; Cakan, Rabia On bicomplex-holomorphic manifolds. (English) Zbl 1286.53042 Int. J. Geom. Methods Mod. Phys. 10, No. 7, Article ID 1320010, 8 p. (2013). Reviewer: Volker Perlick (Lancaster) MSC: 53C15 53C50 × Cite Format Result Cite Review PDF Full Text: DOI
Salimov, A. A.; Cengiz, N.; Behboudi Asl, M. On holomorphic hypercomplex connections. (English) Zbl 1264.53039 Adv. Appl. Clifford Algebr. 23, No. 1, 179-207 (2013). Reviewer: Vasile Oproiu (Iaşi) MSC: 53C15 53C26 × Cite Format Result Cite Review PDF Full Text: DOI
Reid, Frederick Lyall; Van Gorder, Robert A. A multicomplex Riemann zeta function. (English) Zbl 1262.30058 Adv. Appl. Clifford Algebr. 23, No. 1, 237-251 (2013). MSC: 30G35 × Cite Format Result Cite Review PDF Full Text: DOI
Baylis, W. E.; Keselica, J. D. The complex algebra of physical space: a framework for relativity. (English) Zbl 1266.81099 Adv. Appl. Clifford Algebr. 22, No. 3, 537-561 (2012). MSC: 81R05 15A66 30G35 83A05 × Cite Format Result Cite Review PDF Full Text: DOI
Gervais Lavoie, Raphaël; Marchildon, Louis; Rochon, Dominic Finite-dimensional bicomplex Hilbert spaces. (English) Zbl 1237.46009 Adv. Appl. Clifford Algebr. 21, No. 3, 561-581 (2011). MSC: 46C50 46C05 16D10 30G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Baird, Paul; Wood, John C. Harmonic morphisms and bicomplex manifolds. (English) Zbl 1211.58006 J. Geom. Phys. 61, No. 1, 46-61 (2011). Reviewer: Gabjin Yun (Yongin) MSC: 58E20 53C43 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Charak, K. S.; Rochon, D. On factorization of bicomplex meromorphic functions. (English) Zbl 1168.30024 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, 55-68 (2009). MSC: 30G35 30D30 × Cite Format Result Cite Review PDF Full Text: DOI
Rochon, D. On a relation of bicomplex pseudoanalytic function theory to the complexified stationary Schrödinger equation. (English) Zbl 1151.30344 Complex Var. Elliptic Equ. 53, No. 6, 501-521 (2008). MSC: 30G20 30G35 32A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv