Results 41 to 50 of about 800 (199)
Littlewood, Paley and almost‐orthogonality: a theory well ahead of its time
Abstract The classic paper by Littlewood and Paley [J. Lond. Math. Soc. (1), 6 (1931), 230–233] marked the birth of Littlewood–Paley theory. We discuss this paper and its impact from a historical perspective, include an outline of the results in the paper and their subsequent significance in relation to developments over the last century, and set them ...
Anthony Carbery
wiley +1 more source
Some Tauberian theorems for regularly generated sequences
In this paper, we establish some Tauberian theorems for the Abel summability method in terms of regularly generated sequences which generalizes some results obtained in Çanak and Totur [İ. Çanak, Ü.
Hasekiler, Ferhat +6 more
core +1 more source
Ratio tauberian theorems for positive functions and sequences in banach lattices [PDF]
We prove two ratio Tauberian theorems and deduce two generalized Tauberian theorems for functions and sequences with values in positive cones of Banach lattices.
Sato, R., Li, Y.C., Shaw, S.Y.
core +1 more source
Counting 5‐isogenies of elliptic curves over Q$\mathbb {Q}$
Abstract We show that the number of 5‐isogenies of elliptic curves defined over Q$\mathbb {Q}$ with naive height bounded by H>0$H > 0$ is asymptotic to C5·H1/6(logH)2$C_5\cdot H^{1/6} (\log H)^2$ for some explicitly computable constant C5>0$C_5 > 0$. This settles the asymptotic count of rational points on the genus zero modular curves X0(m)$\mathcal {X}
Santiago Arango‐Piñeros +3 more
wiley +1 more source
𝑜-but not 𝑂-Tauberian theorems
Let A A be a regular matrix summability method. Relations between different Tauberian theorems for A A are discussed.
G. G. Lorentz, K. L. Zeller
core +1 more source
On Tauberian theorems for (A)(C, ?) summability method
In this paper we introduce some Tauberian conditions for the (A)(C, ?) summability method. These results extend and generalize some of the classical Tauberian theorems for the Abel summability method. © 2011 Elsevier Inc.
Çanak I., Erdem Y.
core +2 more sources
Rational points in a family of conics over F2(t)$\mathbb {F}_2(t)$
Abstract Serre famously showed that almost all plane conics over Q$\mathbb {Q}$ have no rational point. We investigate versions of this over global function fields, focusing on a specific family of conics over F2(t)$\mathbb {F}_2(t)$ which illustrates new behavior.
Daniel Loughran, Judith Ortmann
wiley +1 more source
Wiener Tauberian theorems for vector-valued functions
Different versions of Wiener's Tauberian theorem are discussed for the generalized group algebra L1(G,A) (of integrable functions on a locally compact abelian group G taking values in a commutative semisimple regular Banach algebra A) using A-valued ...
K. Parthasarathy, Sujatha Varma
doaj +1 more source
On the Exit Time of a Random Walk with Positive Drift [PDF]
We study a random walk with positive drift in the first quadrant of the plane. For a given connected region $\mathcal{C}$ of the first quadrant, we analyze the number of paths contained in $\mathcal{C}$ and the first exit time from $\mathcal{C}$.
Michael Drmota, Wojciech Szpankowski
doaj +1 more source
Tauberian theorems for Fourier cosine transforms [PDF]
We prove Tauberian theorems for Fourier cosine transforms, which can be considered as analogues of the theorem of Soni and Soni for the boundary cases.
A., Inoue, Inoue, A.
core +1 more source

