The tools of infinite dimensional analysis (Malliavin Calculus or white noise analysis) can be used for the theory of deformation quantization in infinite dimension [3, 6—9, 14]. This leads Léandre to use these tools to construct ...
Jordan, P., von Neumann, J., Wigner, E.: On an algebraic generalization of the quantum mechanical formalism. Ann. of Math. 36(2), 29–64 (1934) 38. ... McCrimmon, K.: A Taste of Jordan Algebras, (xxv + 564 p.). Springer (2004).
where we have used Fa.k = б O in the last step . ... D2 Xa = - a + Əz12 Ab where we used Fa Ξα — ib ( Fāk z + Fak2 ) a — œ_dz ( Fã X¶ ) a_ a īb = ( œ_Əzø1 ) › a ( √¡Fã – Aba Fb ) — α_dz ( Fã Xa ) a = ( α_d2¤1 ) Xa D ; Fã — α_Oz ( Fã Xa ) ...
Furthermore, the necessary tools from functional analysis and number theory are included. This is a big interdisciplinary and interrelated field.
... Proceedings of the Conference in Honor of te 90th Birthday of Freeman Dyson, World Scientific, 2014, pp. 148–172. M. Kontsevich, D. Zagier, Periods, in:Mathematics - 20101 and beyond, B. Engquist, W. Schmid, eds., Springer, Berlin et al ...