[Progress in Mathematical Physics] Mathematical Methods in Physics Volume 69 || Other Spaces of Generalized FunctionsIn the previous chapters we have introduced generalized functions according to L. Schwartz and have studied many of their properties. This chapter collects basic facts about other spaces...
the determinant line bundleL. We describe a canonical isomorphism of the space of global sections ofLkwith the space of conformal blocks defined in terms of representations of the Lie algebraslr(C((z))). It follows in particular that the...
The results obtained in both simulation and experiment agree well and suggest that the range of functions that can be implemented is far larger than demonstrated to date. Results Generalized acoustic impedance theory Consider the two disjoint regions of space A and B depicted in Fig. 1a. Inside ...
In the present work, a unification of certain functions of mathematical physics is proposed and its properties are studied. The proposed function unifies Lommel function, Struve function, the Bessel-Maitland function and its generalization, Dotsenko function, generalized Mittag-Leffler function etc. The...
We have studied a class of aging velocity correlation functions, using a Langevin equation and a time-dependent fluctuation–dissipation relation, which thereby permits the study of processes occurring within an irreversibly driven environment. A correction >1 but finite factor occurs in the generalized...
We derive a partial wave expansion for ?m,n functions and analyse the reduction to some of the precedent cases.doi:10.1088/0305-4470/34/41/310G. GasaneoF. D. ColavecchiaS. OtrantoC. R. GaribottiJournal of Physics A General Physics...
Appendix 1.B Two generalized functions The generalized functions are objects extending the notion of functions, and one of its main usages is enabling analytical operations of singular functions, such as Green's functions, which exhibit extensive applications in physics and mathematics [81]. In the...
Mathematical PhysicsA novel method is developed to derive the original Dirac equation and demonstrate that it is the only Poincare invariant dynamical equation for 4-component spinor wavefunctions. New Poincare invariant generalized Dirac and Klein-Gordon equations are also derived. In the non-...
In the present paper we first establish some basic results for a substantially more general class of functions defined below. The results include simple differentiation and fractional calculus operators(integration and differentiation of... RK Raina - 《East Asian Mathematical Journal》 被引量: 73发表...
We study spectral properties of Dirac operators on bounded domainsΩ⊂R3with boundary conditions of electrostatic and Lorentz scalar type and which depend on a parameterτ∈R; the caseτ=0corresponds to the MIT bag model. We show that the eigenvalues are parametrized as increasing functions ofτ...