## Found 115 Documents (Results 1–100)

100
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### On the existence of harmonic $$\mathbf{Z}_2$$ spinors. (English)Zbl 07367821

MSC:  53C27 53C43
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### Symmetry breaking differential operators for tensor products of spinorial representations. (English)Zbl 1476.43008

MSC:  43A85 58J70 43A65
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### Invariant Dirac operators, harmonic spinors, and vanishing theorems in CR geometry. (English)Zbl 1464.32053

MSC:  32V05 53C27
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### Non-negative versus positive scalar curvature. (English. French summary)Zbl 1458.53045

MSC:  53C20 53C21 53C27
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### Clifford valued shearlet transform. (English)Zbl 1442.42081

MSC:  42C40 15A66 94A12
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### Integral kernels for $$k$$-hypermonogenic functions. (English)Zbl 1373.30002

MSC:  30A05 30G35 15A66
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### Twenty-first century quantum mechanics: Hilbert space to quantum computers. Mathematical methods and conceptual foundations. (English)Zbl 1377.81005

Unitext for Physics. Cham: Springer (ISBN 978-3-319-58731-8/hbk; 978-3-319-58732-5/ebook). xvi, 271 p. (2017).
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### Dirac operators in gauge theory. (English)Zbl 1327.57028

Kauffman, Louis H. (ed.) et al., New ideas in low dimensional topology. Hackensack, NJ: World Scientific (ISBN 978-981-4630-61-0/hbk; 978-981-4630-63-4/ebook). Series on Knots and Everything 56, 161-188 (2015).
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### No neck for Dirac-harmonic maps. (English)Zbl 1306.53058

MSC:  53C43 58E20
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### Harmonic spinors on reductive homogeneous spaces. (English)Zbl 1319.22010

Mason, Geoffrey (ed.) et al., Developments and retrospectives in Lie theory. Geometric and analytic methods. Retrospective selected papers based on the presentations at the seminar “Lie groups, Lie algebras and their representations”, 1991–2014. Cham: Springer (ISBN 978-3-319-09933-0/hbk; 978-3-319-09934-7/ebook). Developments in Mathematics 37, 161-181 (2014).
MSC:  22E46 22F30
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### Translation-invariant Clifford operators. (English)Zbl 1337.42005

Duong, Xuan (ed.) et al., AMSI international conference on harmonic analysis and applications. Proceedings of the conference, Macquarie University, Sydney, Australia, February 7–11, 2011. Canberra: Australian National University, Centre for Mathematics and its Applications. Proceedings of the Centre for Mathematics and its Applications, Australian National University 45, 48-62 (2013).

### Conformal properties of generalized Dirac operator. (English)Zbl 1286.53006

Göttingen: Univ. Göttingen (Diss.). v, 78 p. (2013).
MSC:  53-02 53C27 57R57
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### Witten spinors on nonspin manifolds. (English)Zbl 1316.53057

MSC:  53C27 57R15
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### The Balian-Low theorem for the windowed Clifford-Fourier transform. (English)Zbl 1273.15022

Hitzer, Eckhard (ed.) et al., Quaternion and Clifford Fourier transforms and wavelets. Papers from a session of the 9th international conference on Clifford algebras and their applications, ICCA9, Weimar, Germany, July 15–20, 2011. New York, NY: Birkhäuser/Springer (ISBN 978-3-0348-0602-2/hbk; 978-3-0348-0603-9/ebook). Trends in Mathematics, 299-319 (2013).
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### Colour extension of monogenic wavelets with geometric algebra: application to color image denoising. (English)Zbl 1272.68445

Hitzer, Eckhard (ed.) et al., Quaternion and Clifford Fourier transforms and wavelets. Papers from a session of the 9th international conference on Clifford algebras and their applications, ICCA9, Weimar, Germany, July 15–20, 2011. New York, NY: Birkhäuser/Springer (ISBN 978-3-0348-0602-2/hbk; 978-3-0348-0603-9/ebook). Trends in Mathematics, 247-268 (2013).
MSC:  68U10 15A66 42C40
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### History of quaternion and Clifford-Fourier transforms and wavelets. (English)Zbl 1273.42007

Hitzer, Eckhard (ed.) et al., Quaternion and Clifford Fourier transforms and wavelets. Papers from a session of the 9th international conference on Clifford algebras and their applications, ICCA9, Weimar, Germany, July 15–20, 2011. New York, NY: Birkhäuser/Springer (ISBN 978-3-0348-0602-2/hbk; 978-3-0348-0603-9/ebook). Trends in Mathematics, xi-xxvii (2013).
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### A remark on the space of metrics having nontrivial harmonic spinors. (English)Zbl 1280.58014

MSC:  58J30 53C27 58D17
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### Quaternion and Clifford Fourier transforms and wavelets. Papers from a session of the 9th international conference on Clifford algebras and their applications, ICCA9, Weimar, Germany, July 15–20, 2011. (English)Zbl 1268.00016

Trends in Mathematics. New York, NY: Birkhäuser/Springer (ISBN 978-3-0348-0602-2/hbk; 978-3-0348-0603-9/ebook). xxvii, 338 p. (2013).
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### Differential algebra of biquaternions. Dirac equation and its generalized solutions. (English)Zbl 1297.81065

Burenkov, V. I. (ed.) et al., Progress in analysis. Proceedings of the 8th congress of the International Society for Analysis, its Applications, and Computation (ISAAC), Moscow, Russia, August 22–27, 2011. Volume 1. Moscow: Peoples’ Friendship University of Russia (ISBN 978-5-209-04582-3/hbk). 153-161 (2012).

### Biquaternions algebra and its applications by solving of some theoretical physics equations. (English)Zbl 1291.81127

MSC:  81Q05 46S10 53C80
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### Deriving harmonic functions in Dunkl-Clifford analysis and applications. (English)Zbl 1257.33014

MSC:  33C45 15A66
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### The Balian-Low theorem for the windowed quaternionic Fourier transform. (English)Zbl 1256.42044

MSC:  42C15 42A38 15A66
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### Quaternion algebra-valued wavelet transform. (English)Zbl 1247.42032

MSC:  42C40 15A66 42B10
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### The Schwarz kernel in Clifford analysis. (English)Zbl 1241.35167

Agranovsky, Mark (ed.) et al., Complex analysis and dynamical systems IV. Part 1. Function theory and optimization. Proceedings of the 4th international conference on complex analysis and dynamical systems, Nahariya, Israel, May 18–22, 2009. Providence, RI: American Mathematical Society (AMS); Ramat Gan: Bar-Ilan University (ISBN 978-0-8218-5196-8/pbk). Contemporary Mathematics 553. Israel Mathematical Conference Proceedings, 1-13 (2011).

### Clifford algebra-valued wavelet transform on multivector fields. (English)Zbl 1217.15032

MSC:  15A66 42C40 94A12
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### Hermitian generalization of the Rarita-Schwinger operators. (English)Zbl 1204.30039

MSC:  30G35 15A66 43A65
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### Properties of $$k$$-hypermonogenic functions and their relative functions. (Chinese. English summary)Zbl 1212.30153

MSC:  30G35 15A66

### Real Clifford algebra $$Cl_{n,0}, n = 2$$, 3(mod 4) wavelet transform. (English)Zbl 1179.42029

Simos, Theodore E. (ed.) et al., Numerical analysis and applied mathematics. International conference on numerical analysis and applied mathematics, Rethymno, Crete, Greece, September 18–22, 2009. Vol. 2. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0708-4/hbk; 978-0-7354-0709-1/set). AIP Conference Proceedings 1168, 2, 781-784 (2009).
MSC:  42C40 15A66 94A12
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### The Dirac spectrum. (English)Zbl 1186.58020

Lecture Notes in Mathematics 1976. Berlin: Springer (ISBN 978-3-642-01569-4/pbk; 978-3-642-01570-0/ebook). xv, 156 p. (2009).
MSC:  58J50
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### Irreducible $$\mathfrak{sl}(m)$$-modules of Hermitean monogenics. (English)Zbl 1159.30029

MSC:  30G35 43A65 15A66
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### Clifford algebras and Dirac operators in harmonic analysis. Paperback reprint of the hardback edition 1991. (English)Zbl 1143.43001

Cambridge Studies in Advanced Mathematics 26. Cambridge: Cambridge University Press (ISBN 978-0-521-07198-7/pbk). vi, 334 p. (2008).

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### Haar wavelets in a Clifford algebra. (English)Zbl 1152.15309

Simos, Theodore E. (ed.) et al., Numerical analysis and applied mathematics. International conference of numerical analysis and applied mathematics, Corfu, Greece, 16–20 September 2007. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0447-2/hbk). AIP Conference Proceedings 936, 768-768 (2007).
MSC:  15A66 42C40
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### Clifford algebra $$\mathrm{Cl}_{3,0}$$-valued wavelet transformation, Clifford wavelet uncertainty inequality and Clifford Gabor wavelets. (English)Zbl 1197.42019

MSC:  42C40 15A66 94A12
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### 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).

### Uncertainty principle for Clifford geometric algebras $$Cl_{n,0}$$, $$n=3\pmod 4$$ based on Clifford Fourier transform. (English)Zbl 1110.42013

Tao, Qian (ed.) et al., Wavelet analysis and applications. Selected papers based on the presentations at the conference (WAA 2005), Macau, China, 29th November – 2nd December 2005. With CD-ROM. Basel: Birkhäuser (ISBN 3-7643-7777-1/hbk). Applied and Numerical Harmonic Analysis, 47-50 (2007).
MSC:  42C40 15A66 43A32

### Clifford algebra-valued admissible wavelets associated to more than 2-dimensional Euclidean group with dilations. (English)Zbl 1214.42078

Alpay, Daniel (ed.), Wavelets, multiscale systems and hypercomplex analysis. Basel: Birkhäuser (ISBN 3-7643-7587-6/hbk). Operator Theory: Advances and Applications 167, 183-190 (2006).
MSC:  42C40 30G35 15A66
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### Flat manifolds, harmonic spinors, and eta invariants. (English)Zbl 1127.58018

MSC:  58J28 53C27
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MSC:  42C40 15A66

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### Cohomology groups of harmonic spinors on conformally flat manifolds. (English)Zbl 1071.58027

Qian, Tao (ed.) et al., Advances in analysis and geometry. New developments using Clifford algebras. Based on the satellite conference to the ICM 2002 in Beijing, Macau, China, August 15–18, 2002. Basel: Birkhäuser (ISBN 3-7643-6661-3/hbk). Trends in Mathematics, 209-225 (2004).
MSC:  58J60 53C21

### The Yamabe invariants of orbifolds and cylindrical manifolds, and $$L^2$$-harmonic spinors. (English)Zbl 1055.53035

MSC:  53C27 53C43
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### Remark on the limit case of positive mass theorem for manifolds with inner boundary. (English)Zbl 1060.53056

MSC:  53C27 83C40 53C50
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### The geometrical interpretation of uncertainty relation in Minkowski space. (English)Zbl 1085.15506

MSC:  15A66 43A85 81Q99
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### A panoramic view of Riemannian geometry. (English)Zbl 1038.53002

Berlin: Springer (ISBN 3-540-65317-1/hbk). xxiii, 824 p. (2003).
MSC:  53-02 53C20 53C21
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### Surgery and the spectrum of the Dirac operator. (English)Zbl 1017.58019

MSC:  58J50 57R65
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### Metrics with harmonic spinors on even dimensional spheres. (Metriken mit harmonischen Spinoren auf geradedimensionalen Sphären.) (German)Zbl 0986.53018

Berichte aus der Mathematik. Aachen: Shaker Verlag. Hamburg: Univ. Hamburg, Fachbereich Mathematik (Diss.), 86 S. (2001).
MSC:  53C27

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### The four-dimensional hyperbolic spherical harmonics. (English)Zbl 0990.15014

MSC:  15A66 43A90 33C55
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MSC:  43A85
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### An introduction to pseudotwistors: Spinor solutions vs. harmonic forms and cohomology groups. (English)Zbl 0958.32014

Abłamowicz, Rafał (ed.) et al., Clifford algebras and their applications in mathematical physics. Proceedings of the 5th conference, Ixtapa-Zihuatanejo, Mexico, June 27-July 4, 1999. Volume 1: Algebra and physics. Boston, MA: Birkhäuser. Prog. Phys. 18, 393-423 (2000).

### The sign and geometric meaning of the curvature. “Lezione Leonardesca”. Lectures held in Milano, Italy, June 1990. Transl. from the English by V. A. Zaitsev. (Znak i geometricheskij smysl krivizny.) (Russian)Zbl 0995.53025

Biblioteka Matematika (Izhevsk). 1. Izhevsk: Izdatel’skij Dom “Udmurtskij Universitet”. Izhevsk: Redaktsiya Zhurnala “Regulyarnaya i Khaoticheskaya Dinamika”, 120 p. (1999).

### On quantum mechanics and generalized Clifford algebras. (English)Zbl 0928.15023

MSC:  15A66 81R30 81R50 15A90
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### Spin structures and harmonic spinors on nonhyperelliptic Riemann surfaces of small genera. (English)Zbl 0910.53024

Dietrich, Volker (ed.) et al., Clifford algebras and their application in mathematical physics. Proceedings of the 4th conference, Aachen, Germany, May 28–31, 1996. Dordrecht: Kluwer Academic Publishers. Fundam. Theor. Phys. 94, 31-43 (1998).
MSC:  53C15 57R15 30F99

### Harmonic symplectic spinors on Riemann surfaces. (English)Zbl 0892.53016

MSC:  53C15 53D05 58J60
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### Clifford $$L^ 2$$-cohomology on the complete Kähler manifolds. (English)Zbl 0876.53011

MSC:  53C27 53C55

### Metrics with harmonic spinors. (English)Zbl 0867.53037

MSC:  53C21 58J60 57R15
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### $$S$$-duality and the dyon spectrum in $$N=2$$ super Yang-Mills theory. (English)Zbl 1004.81559

MSC:  81T60 81T13
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### Reproducing kernels of spaces of vector valued monogenics. (English)Zbl 0885.31009

MSC:  31C05 15A66 30G35

### Dirac operator and harmonic spinors in low dimensions. (English)Zbl 0876.58051

Sprössig, Wolfgang (ed.) et al., Proceedings of the symposium on analytical and numerical methods in quaternionic and Clifford analysis, June 5–7, 1996, Seiffen, Germany. Freiberg: TU Bergakademie Freiberg, 7-13 (1996).
MSC:  58J60 53C27 53C21

### Harmonic spinors on conformally flat manifolds with $$S^ 1$$-symmetry. (English)Zbl 0840.53016

MSC:  53C27 58J05 53A30
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### Harmonic spinors on Riemann surfaces. (English)Zbl 0840.53015

Bureš, J. (ed.) et al., Proceedings of the winter school on geometry and physics, Zdíkov, Czech Republic, January 1993. Palermo: Circolo Matematico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 37, 15-32 (1994).

### Hurwitz problem, harmonic morphisms and generalized Hadamard matrices. (English)Zbl 0820.15020

MSC:  15A66 58E20 05B20
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### A Hamiltonian model of dissipation with Clifford algebraic generalizations. (English)Zbl 0834.70013

Brackx, F. (ed.) et al., Clifford algebras and their applications in mathematical physics. Proceedings of the third conference held at Deinze, Belgium, 1993. Dordrecht: Kluwer Academic Publishers. Fundam. Theor. Phys. 55, 243-249 (1993).
MSC:  70H20 15A66

### Regularity of functions with values in Clifford algebra based on a generalized axially symmetric potential theory operator. (English)Zbl 0839.31005

Brackx, F. (ed.) et al., Clifford algebras and their applications in mathematical physics. Proceedings of the third conference held at Deinze, Belgium, 1993. Dordrecht: Kluwer Academic Publishers. Fundam. Theor. Phys. 55, 159-166 (1993).

### Clifford algebras and boundary estimates for harmonic functions. (English)Zbl 0840.31002

Brackx, F. (ed.) et al., Clifford algebras and their applications in mathematical physics. Proceedings of the third conference held at Deinze, Belgium, 1993. Dordrecht: Kluwer Academic Publishers. Fundam. Theor. Phys. 55, 151-158 (1993).
MSC:  31B05 30G35 15A66

### Spin structures and harmonic spinors on Riemann surfaces. (English)Zbl 0847.53005

Brackx, F. (ed.) et al., Clifford algebras and their applications in mathematical physics. Proceedings of the third conference held at Deinze, Belgium, 1993. Dordrecht: Kluwer Academic Publishers. Fundam. Theor. Phys. 55, 67-74 (1993).
MSC:  53C27 53C25 81R25

### Spinors over a cone, Dirac operator, and representations of $$Spin$$(4,4). (English)Zbl 0786.53009

Reviewer: H.Baum (Berlin)
MSC:  53C27 22E70
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MSC:  30F10
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### Clifford algebras and Dirac operators in harmonic analysis. (English)Zbl 0733.43001

Cambridge Studies in Advanced Mathematics, 26. Cambridge (UK): Cambridge University Press. vi, 334 p. £37.50; \$ 75.00 (1991).

### An application of Clifford algebras. (Une application des algèbres de Clifford.) (French)Zbl 0688.53006

Differential geometry, Proc. 3rd Int. Symp., Peñiscola/Spain 1988, Lect. Notes Math. 1410, 108-120 (1989).
Reviewer: J.D.Zund
MSC:  53C27 58J50

### An asymptotic estimation of dimension of harmonic spinors. (English)Zbl 0665.53017

Reviewer: N.Jacob
MSC:  53C27 58J10
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### Spineurs harmoniques, spineurs-twisteurs et géométrie conforme. (Harmonic spinors, twistor-spinors and conformal geometry). (French)Zbl 0659.53016

Reviewer: J.D.Zund
MSC:  53C27

### Les spineurs-twisteurs sur une variété spinorielle compacte. (Twistor-spinors on a compact spin manifold). (French)Zbl 0641.53014

Reviewer: J.D.Zund
MSC:  53C27 53C80

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