PUBLICATIONS

P. Cerejeiras, U. Kähler, R. S. Kraußhar, Applications of parabolic Dirac operators to the instationary viscous MHD equations on conformally flat manifolds, Bernstein, Swanhild (ed.), Topics in Clifford analysis. Special volume in honor of Wolfgang Sprößig on the occasion of his 70th birthday, Trends in Mathematics, 173-190 (2019).

P. Cerejeiras, U. Kähler, A. Legatiuk, D. Legatiuk, Boundary values of discrete monogenic functions over bounded domains in R^3, Alpay, Daniel (ed.) et al., Linear systems, signal processing and hypercomplex analysis. Selected papers of the conference on mathematics, signal processing and linear systems: new problems and directions, Chapman University, Orange, CA, USA, November 14–19, 2017, Oper. Theory: Adv. Appl. 275, 149-165 (2019).

P. Cerejeiras, F. Colombo, U. Kähler, I. Sabadini, Perturbation of normal quaternionic operators, Trans. Am. Math. Soc. 372 (5), 3257-3281 (2019).

P. Cerejeiras, S. Hartmann, H. Orelma, Structural results for quaternionic Gabor frames, Adv. Appl. Clifford Algebras, 28:86, 2018, 1-12.     DOI: 10.1007/s00006-018-0901-8

P. Cerejeiras, U. Kähler, D. Legatiuk, Interpolation of monogenic functions by using Reproducing Kernel Hilbert Spaces, Math Meth Appl Sci., 41 (2018), 8100–8114. DOI:10.1002/mma.5271

P. Cerejeiras, U. Kähler, S. Kraußhar, Some Applications of Parabolic Dirac Operators to the Instationary Navier-Stokes Problem on Conformally Flat Cylinders and Tori in R^3, P. Cerejeiras, C. Nolder, J. Ryan, J. Vanegas (Eds.) Clifford Analysis and Related Topics. CART 2014. Springer Proceedings in Mathematics & Statistics, 260, 19–37, Springer, Cham, 2018.

P. Cerejeiras, U. Kähler, J. Ryan, From Hermitean Clifford Analysis to Subelliptic Dirac Operators on Odd Dimensional Spheres and Other CR Manifolds, P. Cerejeiras, C. Nolder, J. Ryan, J. Vanegas (Eds.) Clifford Analysis and Related Topics. CART 2014. Springer Proceedings in Mathematics & Statistics, 260, 39–51, Springer, Cham, 2018.

P. Cerejeiras, D. Legatiuk, U. Kähler, Finite Element Exterior Calculus with Script Geometry, AIP Conference Proceedings - ICNAAM 2018, 2018

P. Cerejeiras, A. Fonseca, U. Kaehler, N. Vieira, Fischer decomposition in generalized fractional Clifford Analysis, in: Advances in Complex Analysis and Operator Theory, F. Colombo, I. Sabadini, D.C. Struppa and M. Vajiac (Eds.), Birkhäuser, Basel, 2017, 37-53.

D. Alpay, P. Cerejeiras, U. Kaehler Gleasons problem associated to the fractional Cauchy-Riemann operator, Fueter series, Drury-Arveson space and related topics, Proceedings of the American Mathematical Society, 145, 2017, 4821-4835.

P. Cerejeiras, A. Fonseca, M. Vajiac, N. Vieira, Fischer decomposition in generalized fractional ternary Clifford analysis, Complex Analysis and Operator Theory, 11(5), 2017, 1077-1093.

P. Cerejeiras, U. Kaehler, M. Ku,  Hilbert boundary value problems with Fermionic weight in R^3, Advances in Applied Clifford Algebras, 27, 2017, 87-98.

Clifford-Hermite polynomials in fractional Clifford analysis (with N. Vieira), in: Noncommutative Analysis, Operator Theory and Applications, I. Sabadini et al. (eds), series Operator Theory: Advances and Applications, 252, Birkhäuser, Basel, 2016, 81-95.

Compressed Sensing with Non-linear Fourier Atoms (with Q. Chen, N. Gomes, S. Hartmann), in: Modern Trends in Hypercomplex Analysis, S. Bernstein U. Kaehler I. Sabadini F. Sommen (Eds.), Birkhäuser, Basel, 2016, 47-77.

Script Geometry (with U. Kaehler, F. Sommen, A. Vajiac), in: Modern Trends in Hypercomplex Analysis, S. Bernstein U. Kaehler I. Sabadini F. Sommen (Eds.), Birkhäuser, Basel, 2016, 79-110.

Lower bounds for the approximation with variation-diminishing splines, (with J. Nagler, B. Forster), Journal of Complexity, 32, 2016, 81-91.

Discrete Hilbert boundary value problems on half lattices (with U. Kaehler, M. Ku), Journal of Difference Equations and Applications, 21 (12), 2015, 1277-1304.

Monogenic Signal Theory (with U. Kähler), Springer References, Operator Theory, ed. D. Alpay, 2015.

Lax pairs for 3D spatial problems based on the Dirac operator (with S. Bernstein, U. Kaehler), Complex Variables and Elliptic Equations, 59, 2014, 1016-1030.

A Short Note on the Local Solvability of the Quaternionic Beltrami Equation (with J. Bory Reyes, A. Guzman Adan, U. Kaehler), Advances in Applied Clifford Algebras, 24, 2014, 945-953.

On the Fock space of metaanalytic functions (with Y. Fu, U. Kaehler, L. Li), Journal of Mathematical Analysis and Applications, 414, 2014, 176-187.

Discrete Hardy Spaces (with U. Kaehler, M. Ku, F. Sommen), Journal of Fourier Analysis and Applications, 20, 2014, 715-750.

Generating Functions for Spherical Harmonics and Spherical Monogenics (with U. Kaehler, R. Lavicka), Advances in Applied Clifford Algebras, 24, 2014, 995-1004.

Hodge type decomposition in variable exponent spaces for the time-dependent operators: the Schrdinger case (with U. Kaehler, M.M. Rodrigues, N. Vieira), Communications on Pure and Applied Analysis, 13(6), 2014, 2253-2272.

On the Riemann boundary value problem for null solutions to iterated generalized Cauchy-Riemann operator in Clifford analysis (with U. Kaehler, M. Ku), Results in Mathematics, 63 (3-4), 2013, 1375-1394.

The Balian-Low theorem for a new kind of Gabor system (with Y. Fu, U. Kaehler), Applicable Analysis, 92, 2013, 799-813. 

Riemann Boundary Value Problems for Iterated Dirac Operator on the Ball in Clifford Analysis, (with M. Ku, Y. Fu, U. Kaehler), Complex Analysis and Operator Theory, 7(3), 2013, 673-693.

Non-separable Multivariate Filter Banks from Univariate Wavelets (with Q. Chen, U. Kaehler, G. Ren), Mathematische Nachrichten, 286, 2013, 951-969.

Dirichlet-type problems for the iterated Dirac operator on the unit ball in Clifford analysis (with U. Kaehler, M. Ku), in: Advances in Hypercomplex Analysis, G. Gentili et al. (eds), Springer INdAM Series, Springer-Verlag Italia, 2013, 75-92.

The Balian-Low theorem for the windowed Clifford Fourier transform (with U. Kaehler, Y.Fu), in: Quaternion and Clifford Fourier transforms and wavelets, S. Sangwine E. Hitzer (eds), Trends in Mathematics, Birkhäuser, Basel, 2013, 299-319.

Bedrosian Identity in Blaschke Product Case (with Q. Chen, U. Kaehler), Complex Analysis and Operator Theory, 6, (2012), 275-300. 

The Balian-Low theorem for the windowed quaternionic Fourier transform (with U. Kaehler, Y. Fu) , Adv. Appl. Cliff. Alg., 22, 2012, 1025-1040.

Solutions to a class of polynomially generalized Bers-Vekua equations using Clifford analysis (with M. Ku, U. Kaehler), Archivum Mathematicum, 48 (2012), 317- 331.

Inversion of the noisy Radon transform on SO(3) by Gabor frames and sparse recovery principles (with M. Ferreira, U. Kaehler, G. Teschke), Applied and Computational Harmonic Analysis 31 (3), November 2011, 325–345.

Chirp transforms and Chirp series (with Q. Chen, U. Kaehler, G. Ren), Journal of Mathematical Analysis and Applications, 373 (2), (2011) 356-369.                    

A necessary and sufficient condition for a Bedrosian identity (with Q. Chen, U. Kaehler), Math. Meth. Appl. Sci., 33 (2010), 493-500.

Wavelets invariant under finite reflection groups (with G. Bernardes, S. Bernstein, U. Kaehler), Math. Meth. Appl. Sci., 33 (2010), 473-484.

Spherical Dunkl-Monogenics and a Factorization of the Dunkl-Laplacian (with M. Fei, U. Kaehler), J. Phys. A: Math. Theor., 43 (2010), 445202-445216.

Fundamental solutions of the instationary Schrödinger difference operator (with N. Vieira), Journal of Difference Equations and Applications, 16 (11), November 2010, 1349-1365.

Clifford Algebra Applied to the Heat Equation (with F. Sommen), in: More Progresses in Analysis - Proceedings of the 5th International ISAAC Congress, Catania, Italy, 25 - 30 July 2005, Heinrich G. W. Begehr / Francesco Nicolosi (eds), World Scientific, 2010, 1043-1050.     

Fischer decomposition and Cauchy kernel for Dunkl-Dirac operators (with G. Bernardes, U. Kaehler), Adv. Appl. Cliff. Alg., 19, (2009) 2, 163-171.

Regularization of the non-stationary Schrödinger operator (with N. Vieira), Math. Meth. Appl. Sci., 32 (5), (2009), 535-555.

Borel-Carathéodory Type Theorem for Monogenic Functions (with K. Gürlebeck, J. Morais), Complex Analysis and Operator Theory, 3 (1), 2009, 99-112.

Fueter’s theorem and its generalizations in Dunkl-Clifford analysis (with M. Fei, U. Kaehler), J. Phys. A: Math. Theor., 42 (2009) 39, 395209-395224.

Numerical Clifford Analysis for Non-linear Schroedinger Problem (with N. Faustino, N. Vieira), Numerical Methods for Partial Differential Equations, 24 (4), (2008), 1181 1202.

On a factorization of Schr ̈odinger and Klein-Gordon operators (with U. Kaehler, V. Kravchenko), Math. Meth. Appl. Sci., 31 (14), (2008), 1722-1738.

Continuous Wavelet Transform and Wavelet Frames on the Sphere Using Clifford Analysis (with M. Ferreira, U. Kaehler, F. Sommen), Comm. Pure and Applied Anal., 6, (2007) 3, 619-641.

Carleson Measure and Monogenic Functions (with S. Bernstein) Studia Math. 180 (1), 2007, 11-25

Fischer Decomposition and Special Solutions for the Parabolic Dirac Operator (with F. Sommen , N. Vieira), Math. Meth. Appl. Sci., 30, (2007), 1057-1069.

Factorization of the non-stationary Schrödinger operator (with N. Vieira), Advances in Applied Clifford Algebras, 17, (2007) 3, 331-341.

Numerical Clifford Analysis for nonlinear time-dependent problems (with N. Faustino, N. Vieira), Proceedings of the International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE 2006 Madrid, 21-25 September 2006, Madrid, Spain, (2007), 196-203.

Clifford Analysis and the Continuous Spherical Wavelet Transform (with M. Ferreira, U. Kaehler), in: Wavelet Analysis and Applications - Applied and Numerical Harmonic Analysis, Tao Qian, Mang I. Vai and Xu Yuesheng (eds), Birkhäuser- Verlag Basel / Switzerland, 2006, 192-202.

Monogenic Frames for an Integral Transform on the Unit Sphere (with M. Ferreira, U. Kaehler, N. Vieira), Complex Variables and Elliptic Equations, 51 (1), (2006), 51–62.

Clifford Analysis for finite reflection groups (with G. Ren, U. Kaehler), Complex Variables and Elliptic Equations, 51 (5-6), 2006, 487–495.

Factorization of the Non-stationary Heat Equation, PAMM, 6, 2006, 623–624.

Monogenic Wavelets over the Unit Ball (with M. Ferreira, U. Kaehler), ZAA, 24, (2005) 4, 841-852.

Parabolic Dirac operators and the Navier-Stokes equations over time-varying domains (with U. Kaehler, F. Sommen), Math. Meth. Appl. Sci. 28, (2005), 1715- 1724.

Q_p -scales on Hyperbolic Projective Spaces, Methods of Complex and Clifford Analysis, in: Proceedings of ICAM Hanoi 2004, Le Hung Son et al (eds.), (2005), 229-238

Clifford analysis for reflection groups (with U. Kaehler), in: Digital Proceedings of the 4th International Conference on Wavelets and its Applications, Macau, China, 2005.

Frames for the Continuous Spherical Wavelet Transform (with M. Ferreira, U. Kaehler), in: Digital Proceedings of the 4th International Conference on Wavelets and its Applications, Macau, China, 2005.

Q_{L,q} Scales in a Hyperbolic Setting, PAMM, 5, 2005, 613-614.

Clifford Analysis and the Continuous Spherical Wavelet Transform (with M. Ferreira, U. Kaehler), in: Digital Proceedings of the 4th International Conference on Wavelets and its Applications, Macau, China, 2005.

Spherical Radon Transform and Wavelets, PAMM, 4 (1), 2004, 538–539.

Hyperbolic Q_p scales, in: Proceedings of the 16th Inter. Conf. on the Appl. of Comp. Sci. and Math. in Arch. and Civil Eng., Gürlebeck, K. / Hempel, L. / Könke, C. (eds.), Digital Proceedings (ISSN: 1611-4086), 2003.

A Wavelet Method Based Numerical Method for Nonlinear Partial Differential Equations (with M. J. Soares, S. Dahlke, M. Lindemann, G. Teschke, M. Zhary, U. Kaehler), in: Proceedings of the 16th Inter. Conf. on the Appl. of Comp. Sci. and Math. in Arch. and Civil Eng., Gürlebeck, K. / Hempel, L. / Könke, C. (eds.), Digital Proceedings (ISSN: 1611-4086), 2003.

The Spherical X-Ray Transform (with H. Schaeben, F. Sommen), in: Clifford Analysis in Application (special edition), (eds.) F. Sommen, W. Sprössig, Math. Meth. Appl. Sci., 25, November–December 2002, N.o 16–18, 1493-1508.

Clifford Analysis on Projective Hyperbolic Space II (with U. Kaehler, F. Sommen), in: Clifford Analysis in Application (special edition), (eds.) F. Sommen, W. Sprössig, Math. Meth. Appl. Sci., 25, November–December 2002, N.o 16–18, pp. 1465-1478.

Clifford Analysis on Projective Hyperbolic Space (with U. Kaehler, F. Sommen), J. Nat. Geom. 22 (2002), N.o 1-2, 19-34.

A Quaternionic Beltrami-type Equation and the Problem of Local Homeomorphic Solutions (with K. Gürlebeck, U. Kaehler, H. Malonek), ZAA, 20, (2001) 1, 17-34 (ZAA/1344).

On Beltrami equations in Clifford analysis and its quasi-conformal solutions, in: Clifford Analysis and Its Applications, F. Brackx et al. (eds.), NATO Science Series, II. Mathematics, Physics and Chemistry - vol. 25, Kluwer Acad. Publ., 2001, 49-58.

On the Conjugated of the Dirac Operator, Advances in Applied Clifford Algebras, 11 (S1) November, Special Issue Clifford Analysis Cetraro 1998, (2001), 261-270.

Reproducing Properties of Hyperbolically-harmonic and -monogenic Functions, Advances in Applied Clifford Algebras, 11 (S2) December, Special Issue Clifford Analysis and Related Topics Beijing 2000, (2001), 61-66.

Elliptic Boundary Value Problems of Fluid Dynamics over Unbounded Domains (with U. Kaehler), Math. Meth. Appl. Sci., 23 (2000), 81-101.

Hodge Dirac Operators for Hyperbolic Spaces (with J. Cnops), Complex Variables, 41 (2000), 267-278.

Reproducing Kernels for Hyperbolic Spaces, in: Clifford Algebras and their Applications in Mathematical Physics, J. Ryan / W. Sprössig (eds.), vol. 2: Clifford Analysis, Birkäuser, Basel, 2000, 303-314.

S^{n−1}-Harmonic Functions for the Spherical Model of Hyperbolic Spaces, in: Proceedings of the Second ISAAC Conference volume 2, H. Begehr, R. Gilbert, J. Kajiwara (eds.), vol. 8: ISAAC Series, Kluwer Acad. Publ., 2000, 1563-1575.

Decomposition of Analytic Hyperbolically Harmonic Functions, in: Clifford Algebras and their Applications in Mathematical Physics, Aachen - 1996, K. Habetha / G. Jank / G. Dietrich (eds.), Kluwer Academic Publishers, Netherlands, 1998, 47-51.

BOOKS AND SPECIAL ISSUES

Clifford Analysis and Related Topics, In Honor of Paul A. M. Dirac, CART 2014, Tallahassee, Florida, December 15–17, P. Cerejeiras, et al. (Eds), Springer Proceedings in Mathematics & Statistics, 260, Springer, Cham, 2018.
ISBN: 978-3-030-00047-9, eISBN: 978-3-030-00049-3

Complex Variables and Elliptic Equations: Special Issue on Clifford Analysis - Theory and Applications. On the occasion of John Ryan’s 60th birthday, S. Bernstein, P. Cerejeiras (Eds), 62 (9), 2017.

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2015 © Cerejeiras, actualized August, 2020  

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