English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We characterize the sequences of complex numbers $(z_{n})_{n \in \mathbb{N}}$and the locally complete $(DF)$-spaces $E$ such that for each $(e_{n})_{n \in\mathbb{N}} \in E^{\mathbb{N}}$ there exists an $E$-valued function$\mathbf{f}$ on $(0,\infty)$ (satisfying a mild regularity condition) such that$$ \int_{0}^{\infty} t^{z_{n}} \mathbf{f}(t) dt = e_{n}, \qquad \forall n \in\mathbb{N} , $$ where the integral should be understood as a Pettis integral.Moreover, in this case, we show that there always exists a solution$\mathbf{f}$ that is smooth on $(0,\infty)$ and satisfies certain optimalgrowth bounds near $0$ and $\infty$. The scalar-valued case $(E = \mathbb{C})$was treated by Dur\'an [13]. Our work is based upon his result.

The vector-valued Stieltjes moment problem with general exponents