An inversion formula for some Fock spaces

Inversion Formula for Continuous Multifractals

In a previous paper MR the authors introduced the inverse measure y of a probability measure on It was argued that the respective multifractal spectra are linked by the inversion formula fy f Here the statements of MR are put in more mathematical terms and proofs are given for the inversion formula in the case of continuous measures Thereby f may stand for the Hausdor spectrum the packing spect...

An Improved Exact Inversion Formula for Cone Beam Vector Tomography

In this article we present an improved exact inversion formula for the 3D cone beam transform of vector fields. It is well known that only the solenoidal part of a vector field can be determined by the longitudinal ray transform of a vector field in cone beam geometry. The exact inversion formula, as it was developed in A. Katsevich and T. Schuster, An exact inversion formula for cone beam vect...

Maximal Zero Sequences for Fock Spaces

A sequence Z in the complex plane C is called a zero sequence for the Fock space F p α if there exists a function f ∈ F p α , not identically zero, such that Z is the zero set of f , counting multiplicities. We show that there exist zero sequences Z for F p α with the following properties: (1) For any a ∈ C the sequence Z ∪ {a} is no longer a zero sequence for F p α; (2) the space IZ consisting...

Curiosities on Free Fock Spaces

We consider some curious aspects of single-species free Fock spaces, such as novel bosonization and fermionization formulae and relations to various physical properties of bosonic particles. We comment on generalizations of these properties to physically more interesting many-species free Fock spaces.

Toeplitz Operators on Fock Spaces