Multiple sampling and interpolation in the classical Fock space

Alexander Borichev (1) , Andreas Hartmann (2) , Karim Kellay (2) , Xavier Massaneda (3)

1 I2M - Institut de Mathématiques de Marseille
2 IMB - Institut de Mathématiques de Bordeaux
3 Departament de Matemàtica Aplicada i Anàlisi

We study multiple sampling, interpolation and uniqueness for the classical Fock space in the case of unbounded mul-tiplicities.

Mots clés: Fock space; multiple interpolation; multiple sampling

Domaines: Variables complexes [math.CV]

Alexander Borichev, Andreas Hartmann, Karim Kellay, Xavier Massaneda. Multiple sampling and interpolation in the classical Fock space. Zapiski Nauchnykh Seminarov. Sankt-Peterburgskoe Otdelenie. Matematicheskiui Institut. Steklova.(POMI), 2015. ⟨hal-01183796v1⟩