Laplace -transform of distributions
Laplace transform generation theorems and local Cauchy problems.
Laplace transform identities for diffusions, with applications to rebates and barrier options
We start with a general time-homogeneous scalar diffusion whose state space is an interval I ⊆ ℝ. If it is started at x ∈ I, then we consider the problem of imposing upper and/or lower boundary conditions at two points a,b ∈ I, where a < x < b. Using a simple integral identity, we derive general expressions for the Laplace transform of the transition density of the process, if killing or reflecting boundaries are specified. We also obtain a number of useful expressions for the Laplace transforms...
Laplace transform of exponentially Lipschitzian vector-valued functions
Laplace transform of functions satisfying the Lipschitz condition
Laplace transform pairs of N-dimensions.
Laplace transform pairs of N-dimensions and second order linear partial differential equations with constant coefficients.
Laplace transform representations and Paley-Wiener theorems for functions on vertical strips.
Laplace transforms and the American straddle.
Laplace ultradistributions on a half line and a strong quasi-analyticity principle
Several representations of the space of Laplace ultradistributions supported by a half line are given. A strong version of the quasi-analyticity principle of Phragmén-Lindelöf type is derived.
Laplace ultradistributions supported by a cone
The space of Laplace ultradistributions supported by a convex proper cone is introduced. The Seeley type extension theorem for ultradifferentiable functions is proved. The Paley-Wiener-Schwartz type theorem for Laplace ultradistributions is shown. As an application, the structure theorem and the kernel theorem for this space of ultradistributions are given.
Laplace-Stieltjes Transforms of Vector-Valued Measures
Laplace-Transformation nichtnegativer und vektorwertiger Maße.
Le papillon de Hofstadter revisité
Legendre transforms and -particle irreducibility in quantum field theory : the formalism for fermions
Limit and infinite integral of Mikusiński operator
Linear independence in linear rings with abstract differentiation
Linear operators and operational calculus. Part I
Linear operators and operational calculus, Part II
Linear operators satisfying the chain rule.