✦ LIBER ✦

A Summation Theorem and Its Applications

✍ Scribed by Wu Junde; Lu Shijie

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 104 KB
Volume: 257
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2000.7260

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, we establish a general summation theorem. From it we can improve the famous Hahn᎐Schur summation theorem and the famous Orlicz᎐Pettis theorem.

📜 SIMILAR VOLUMES

An Addition Theorem and Its Arithmetical

An Addition Theorem and Its Arithmetical Application

✍ Gregory Freiman; Alfred Geroldinger 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 162 KB

We study almost arithmetical multiprogressions, which are defined as certain unions of arithmetical progressions. We prove an addition theorem stating that arbitrary sumsets of such sets are of the same type again. Almost arithmetical multiprogressions appear as sets of lengths in rings of algebraic

ANEW RELATION-COMBINING THEOREM AND ITS

ANEW RELATION-COMBINING THEOREM AND ITS APPLICATION

✍ Zhi-Wei Sun 📂 Article 📅 1992 🏛 John Wiley and Sons 🌐 English ⚖ 159 KB

## Abstract Let ∃^__n__^ denote the set of all formulas ∃__x__~1~…∃__x__~__n__~[__P__(__x__~1~, …,__x__~__n__~) = 0], where __P__ is a polynomial with integer coefficients. We prove a new relation‐combining theorem from which it follows that if ∃^__n__^ is undecidable over N, then ∃^2__n__+2^ is un

An Abstract Existence Theorem at Resonan

An Abstract Existence Theorem at Resonance and Its Applications

✍ Shiwang Ma; Zhicheng Wang; Jianshe Yu 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 243 KB

Extensions of the ‘immittance ratio summ

Extensions of the ‘immittance ratio summation theorem’

✍ Eduard Schwartz 📂 Article 📅 1985 🏛 John Wiley and Sons 🌐 English ⚖ 438 KB

On a Theorem of Halphen and its Applicat

On a Theorem of Halphen and its Application to Integrable Systems

✍ F Gesztesy; K Unterkofler; R Weikard 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 166 KB

We extend Halphen's theorem which characterizes solutions of certain nth-order differential equations with rational coefficients and meromorphic fundamental systems to a first-order n × n system of differential equations. As an application of this circle of ideas we consider stationary rational alge

Besov space and trace theorem on a local

Besov space and trace theorem on a local field and its application

✍ Hiroshi Kaneko 📂 Article 📅 2012 🏛 John Wiley and Sons 🌐 English ⚖ 234 KB

## Abstract Recently, importance of the Besov space has been acknowledged by analysts studing such subsets with lower dimension than the whole space as fractals in the Euclidean space. On the other hand, by taking an extension __K__ of local field __K__′, __K__′ is contained in __K__ as a subset wi