Search Results - "Lavicka, R."

Massless field equations for spin 3/2 in dimension 6 by Lávička, R., Souček, V., Wang, W.

“…Main topic of the paper is a study of properties of massless fields of spin 3/2. A lot of information is available already for massless fields in dimension 4…”
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Complete Orthogonal Appell Systems for Spherical Monogenics by Lávička, R.

“…In this paper, we investigate properties of Gelfand–Tsetlin bases mainly for spherical monogenics, that is, for spinor valued or Clifford algebra valued…”
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The Radon transform between monogenic and generalized slice monogenic functions by Colombo, F., Lávička, R., Sabadini, I., Souček, V.

“…In Bureš et al. (Elements of quaternionic analysis and Radon transform, 2009 ), the authors describe a link between holomorphic functions depending on a…”
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Orthogonal Appell Bases for Hodge-de Rham Systems in Euclidean Spaces by Lávička, R.

“…Recently the Gelfand-Tsetlin construction of orthogonal bases has been explicitly described for homogeneous polynomial solutions of the Hodge-de Rham systems…”
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Generalized Taylor series in hermitian Clifford analysis by Brackx, F., De Schepper, H., Lávička, R.

“…An orthogonal Appell basis of homogeneous polynomials is constructed for the Bergman space of square-integrable hermitian monogenic functions in the unit ball…”
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The Cauchy–Kovalevskaya extension theorem in Hermitian Clifford analysis by Brackx, F., De Schepper, H., Lávička, R., Souček, V.

“…Hermitian Clifford analysis is a higher dimensional function theory centered around the simultaneous null solutions, called Hermitian monogenic functions, of…”
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Generating Functions for Spherical Harmonics and Spherical Monogenics by Cerejeiras, P., Kähler, U., Lávička, R.

“…In this paper, we study generating functions for the standard orthogonal bases of spherical harmonics and spherical monogenics in R m . Here spherical…”
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Gel'fand-Tsetlin bases of orthogonal polynomials in Hermitean Clifford analysis by Brackx, F., De Schepper, H., Lávička, R., Souček, V.

“…An explicit algorithmic construction is given for orthogonal bases for spaces of homogeneous polynomials, in the context of Hermitean Clifford analysis, which…”
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Fundaments of Quaternionic Clifford Analysis I: Quaternionic Structure by Brackx, F., Schepper, H. De, Eelbode, D., Lávička, R., Souček, V.

“…Introducing a quaternionic structure on Euclidean space, the fundaments for quaternionic and symplectic Clifford analysis are studied in detail from the…”
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Embedding Factors for Branching in Hermitian Clifford Analysis by Brackx, F., De Schepper, H., Lávička, R., Souček, V.

“…A step 2 branching decomposition of spaces of homogeneous Hermitian monogenic polynomials in C n is established with explicit embedding factors in terms of the…”
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On Primitives and Conjugate Harmonic Pairs in Hermitian Clifford Analysis by Brackx, F., De Schepper, H., Lávička, R., Souček, V.

“…The notion of a conjugate harmonic pair in the context of Hermitian Clifford analysis is introduced as a pair of specific harmonic functions summing up to a…”
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The Cauchy Integral Formula in Hermitian, Quaternionic and osp(4|2) Clifford Analysis by Brackx, F., De Schepper, H., Lávička, R., Souček, V.

“…As is the case for the theory of holomorphic functions in the complex plane, the Cauchy Integral Formula has proven to be a cornerstone of Clifford analysis,…”
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Feasibility Studies of Tau-Lepton Anomalous Magnetic Moment Measurements in Ultraperipheral Collisions at the LHC by Burmasov, N., Kryshen, E., Bühler, P., Lavicka, R.

“…Ultraperipheral heavy-ion collisions provide a unique opportunity to study two-photon-induced processes. Production of tau-lepton pairs in the process at the…”
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Fischer decomposition in symplectic harmonic analysis by Brackx, F., De Schepper, H., Eelbode, D., Lávička, R., Souček, V.

“…In the framework of quaternionic Clifford analysis in Euclidean space R 4 p , which constitutes a refinement of Euclidean and Hermitian Clifford analysis, the…”
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Fundaments of quaternionic Clifford analysis II: splitting of equations by Brackx, F., De Schepper, H., Eelbode, D., Lávička, R., Souček, V.

“…Quaternionic Clifford analysis is a recent new branch of Clifford analysis, a higher dimensional function theory which refines harmonic analysis and…”
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Orthogonal basis for spherical monogenics by step two branching by Lávička, R., Souček, V., Van Lancker, P.

“…Spherical monogenics can be regarded as a basic tool for the study of harmonic analysis of the Dirac operator in Euclidean space . They play a similar role as…”
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System-size dependence of the charged-particle pseudorapidity density at sNN=5.02TeV for pp, pPb, and PbPb collisions by Anaam, M.N., Andrei, C., Antonioli, P., Bai, X., Balbino, A., Batigne, G., Beole, S., Blau, D., Bogdanov, A., Bombara, M., Broz, M., Buckland, M.D., Cai, M., Chakaberia, I., Chartier, M., Ciacco, M., Costanza, S., Danu, A., Dash, S., Deng, W., Dudi, S., Ersdal, M.R., Evans, D., Garner, K., Gotovac, S., Grund, D., Gupta, R., Hamagaki, H., Haque, M.R., Herman, T., Hong, G.H., Hristov, P., Izucheev, V., Jadlovska, S., Jadlovsky, J., Jahnke, C., Jonas, F., Kalinak, P., Karczmarczyk, P., Kim, J., Kim, T., Kitowski, J.P., Klein, S., Kovalenko, O., Kovalenko, V., Krizkova Gajdosova, K., Kroesen, M., Kuijer, P.G., Kumar, L., Lamanna, M., Lavicka, R., Lea, R., Lietava, R., Lim, S.H., Liu, J., Loginov, V., Lopez, X., Lu, P., Mager, M., Mahmoud, T., Malik, S.K., Manso, F., Markert, C., Mdhluli, J.E., Melikyan, Y., Mohanty, A.P., Muhuri, S., Nattrass, C., Noferini, F., Nystrand, J., Oliver, M.H., Pereira, L.G., Petrov, V., Planinic, M., Poghosyan, M.G., Raniwala, R., Redlich, K., Riabov, A., Rueda, O.V., Saha, S., Sahoo, R., Schicker, R., Schmidt, N.V., Sekihata, D., Šerkšnytė, L., Shaba, T.J., Shahoyan, R., Sharma, U., Smirnov, N., Tork, T., Tripathy, T., Vala, M., van Leeuwen, M., Vilakazi, Z., Vozniuk, N., Wikne, J., Winn, M., Witt, W.E., Yoo, I.-K., Zhou, D.

“…We present the first systematic comparison of the charged-particle pseudorapidity densities for three widely different collision systems, pp, pPb, and PbPb, at…”
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Complete orthogonal Appell systems for spherical monogenics by Lavicka, R

“…In this paper, we investigate properties of Gelfand-Tsetlin bases mainly for spherical monogenics, that is, for spinor valued or Clifford algebra valued…”
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The Cauchy Integral Formula in Hermitian, Quaternionic and $$\mathfrak {osp}(4|2)$$ Clifford Analysis by Brackx, F., De Schepper, H., Lávička, R., Souček, V.

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Embedding Factors for Branching in Hermitian Clifford Analysis by Brackx, F, De Schepper, H, Lavicka, R, Soucek, V

“…A step 2 branching decomposition of spaces of homogeneous Hermitian monogenic polynomials in C^n is established with explicit embedding factors in terms of the…”
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