Families of conformal field theories are naturally endowed with a Riemannian geometry which is locally encoded by correlation functions exactly marginal operators. We show that the curvature such manifolds can be computed using Euclidean and Lorentzian inversion formulae, combine operator content theory into an analytic function. Analogously, operators fixed dimension define bundles over manifo...

We propose a new definition of a fractional-order Sumudu transform for fractional differentiable functions. In the development of the definition we use fractional analysis based on the modified Riemann-Liouville derivative that we name the fractional Sumudu transform. We also established a relationship between fractional Laplace and Sumudu duality with complex inversion formula for fractional S...

We consider the generalized Segal–Bargmann transform, defined in terms of the heat operator, for a noncompact symmetric space of the complex type. For radial functions, we show that the Segal–Bargmann transform is a unitary map onto a certain L space of meromorphic functions. For general functions, we give an inversion formula for the Segal–Bargmann transform, involving integration against an “...

We consider the generalized Segal–Bargmann transform, defined in terms of the heat operator, for a noncompact symmetric space of the complex type. For radial functions, we show that the Segal–Bargmann transform is a unitary map onto a certain L space of meromorphic functions. For general functions, we give an inversion formula for the Segal–Bargmann transform, involving integration against an “...