Extending coherent state transforms to Clifford analysis
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Publication:2832733
DOI10.1063/1.4964448zbMath1349.81088arXiv1601.01380OpenAlexW2226144485MaRDI QIDQ2832733
William D. Kirwin, José Mourão, João Pedro Vidal Nunes, Tao Qian
Publication date: 14 November 2016
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1601.01380
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Spinor and twistor methods applied to problems in quantum theory (81R25) Coherent states (81R30) Clifford algebras, spinors (15A66) Holomorphic functions of several complex variables (32A10) Quadratic spaces; Clifford algebras (11E88)
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Cites Work
- Cauchy-Kowalevski extensions and monogenic plane waves using spherical monogenics
- An extension theorem for slice monogenic functions and some of its consequences
- Noncommutative functional calculus. Theory and applications of slice hyperholomorphic functions
- The inverse Fueter mapping theorem
- Mathematical characterization of the physical vacuum for a linear Bose- Einstein field
- Slice monogenic functions
- The Radon transform between monogenic and generalized slice monogenic functions
- The Segal-Bargmann ``coherent state transform for compact Lie groups
- Generalization of Fueter's result to \(\mathbb{R}^{n+1}\)
- Die Funktionentheorie der Differentialgleichungen \(\Delta u=0\) und \(\Delta\Delta u=0\) mit vier reellen Variablen
- On the Kakutani-Itô-Segal-Gross and Segal-Bargmann-Hall isomorphisms
- Generalizations of Fueter's theorem
- Integral Geometry and Radon Transforms
- On a Hilbert space of analytic functions and an associated integral transform part I
- An alternative proof of Fueter's theorem
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