Pointwise convergence of expansions with respect to certain product systems

- , - _n A_n-,. , . , ¦_n¦=1 (n=1,2, ), . , — — , .     

Bivariate distributions with Weibull conditionals

, . , - . , , , .     

Trigonometric Cesàro bases in the spaces of functions integrable with power weight

(2), k1, >0, L _p (0,), 1p L =C. , , p, k, (C, )- L _p (0,), , , {sinnx} _n ^=k/ (C, )- L _p (0,) |x|^p . , 1p, {x sinnx} _n=k , k2 2k–2–1/p<2k–1/p, (C, )- L ^p [0,] , >–(p–1)/.     

Inversion and structure formulae for a generalized Laplace transform

, D_v(.) , .     

Class Numbers of Indefinite Binary Quadratic Forms

Let be the class number of properly equivalent primitive binary quadratic forms of discriminant . The case of indefinite forms is considered. Assuming that the extended Riemann hypothesis for some fields of algebraic numbers holds, the following results are proved. 1. Let be an arbitrarily slow monotonically increasing function such that . Then

A Residue Calculus for Root Systems

Let V be a finite-dimensional real vector space on which a root system is given. Consider a meromorphic function on V =V+iV, the singular locus of which is a locally finite union of hyperplanes of the form V , = s, , s . Assume is of suitable decay in the imaginary directions, so that integrals of the form _+iV , d make sense for generic V. A residue calculus is developed that allows shifting . This residue calculus can be used to obtain Plancherel and Paley–Wiener theorems on semisimple symmetric spaces.     

On c+-chromatic graphs with small bounded subgraphs

It is shown that if ZF is consistent then so is ZFC+2 is as large as you wish + there is a graph with cardinality and chromatic number (2) + such that every subgraph of cardinality 2 has chromatic number .The preparation of this paper was supported by Hungarian National Foundation for Scientific Research (OTKA), grant no. 1805.     

Preface

Preface

Preface     

Dominated, diagonal polynomials on ℓ p spaces

We show that the r-dominated polynomials on _p(2 p ) are integral on ₁, and give examples proving that the converse is not true. We characterize when the 2-homogeneous, diagonal polynomials on _p(1 < p ) are r-dominated. We prove that, unlike the linear case, there are nuclear polynomials which are not 1-dominated.Received: 6 June 2004; revised: 28 September 2004     

On a condition on the radical of a Banach algebra ensuring strong decomposability

The main result is the following theorem. Let be a commutative Banach algebra with radical R, where the factor algebra is isomorphic to the algebra of all continuous functions on a totally disconnected compact space. If rⁿ¹ /n 0 as n uniformly for r R, rl, then the algebra is strongly decomposable, i.e., there exists a closed subalgebra B isomorphic to such that =BR.This is a strengthening of the theorem of A. Ya. Khelemskii, who assumed . There are 4 references.Translated from Matematicheskie Zametki, Vol. 2, No. 6, pp. 589–592, December, 1967.     

Ray Fulkerson

Notice

Ray Fulkerson     

Contents of Volume 2 (2003)

Volume Contents

Contents of Volume 2 (2003)     

Preface

Preface

Preface     

Foreword

Foreword

Foreword     

Preface

Preface

Preface     

Preface

Preface

Preface     

Mark Grigor'evich Krein

Obituary

Mark Grigor'evich Krein     

Editorial addresses

General Information

Editorial addresses     

Editorial addresses

General Information

Editorial addresses     

Editorial policy

General Information

Editorial policy