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Currently displaying 1 – 13 of 13

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Alcune generalizzazioni del Teorema di Browder-Göhde-Kirk

Delfina Roux; Paolo Soardi — 1972

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

In this paper we are concerned with applications $f$ , mapping into itself a closed convex subset $K$ of a normed space $X$ , with the property: $\|f(x)-f(y)\|\leq a\{\|x-f(x)\|+\|y-f(y)\|\}+b\|x-y\|$ ( $a$ , $b$ not necessarily constants, $a\geq 0$ , $b\geq 0$ , $2a+b\leq 1$ ). We prove that a fixed point of $f$ exists in $K$ under the following assumptions: 1) is uniformly convex and in there exists a point with bounded orbit; 2) $X$ is a Banach space, $K$ is weakly compact, $f$ is continuous and $\displaystyle\sup_{x,y\in K}b(x,y)<1$ . Thereafter, if $X$ is strictly convex, we prove that the set of all fixed points of $f$ in $K$ is closed...

Symbolic calculus in A(G)

Leonede de Michele; Paolo Soardi — 1974

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

Si dimostra che solo le funzioni reali analitiche operano nell'algebra A(G) se G è un gruppo compatto

Symbolic calculus in A(G). Nota II

Leonede De Michele; Paolo Soardi — 1974

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

Si dimostra che solo le funzioni reali analitiche operano nell'algebra A(G) se G è un gruppo abeliano infinito, oppure un gruppo mediabile discreto con sottogruppi abeliani arbitrariamente grandi, oppure un gruppo di Lie non discreto.

The Resolvent for Simple Random Walks on the Free Product of Two Discrete Groups.

Paolo M. Soardi — 1986

Mathematische Zeitschrift

p-harmonic functions on graphs and manifolds.

Ilkka Holopainen; Paolo M. Soardi — 1997

Manuscripta mathematica

Amenability, unimodularity, and the spectral radius of random walks on finite graphs.

Wolfgang Woess; Paolo M. Soardi — 1990

Mathematische Zeitschrift

Extensions of Foster's averaging formula to infinite networks with moderate growth.

Paolo M. Soardi; Guia Medolla — 1995

Mathematische Zeitschrift

Single Wavelets in n-Dimensions.

Paolo M. Soardi; David Weiland — 1998

The journal of Fourier analysis and applications [[Elektronische Ressource]]

On sets of completely uniform convergence

Paolo Maurizio Soardi; Giancarlo Travaglini — 1981

Colloquium Mathematicae

Uniform convergence of lacunary Fourier series

Leonede de-Michele; Paolo M. Soardi — 1976

Colloquium Mathematicae

On the number of representations of an element in a polygonal Cayley graph

Gabriella Kuhn; Paolo M. Soardi — 1987

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

We compute explicitly the number of paths of given length joining two vertices of the Cayley graph of the free product of cyclic groups of order k.

On the number of representations of an element in a polygonal Cayley graph

Gabriella Kuhn; Paolo M. Soardi — 1987

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

We compute explicitly the number of paths of given length joining two vertices of the Cayley graph of the free product of cyclic groups of order k.

A strong Liouville theorem for $p$ -harmonic functions on graphs.

Holopainen, Ilkka; Soardi, Paolo M. — 1997

Annales Academiae Scientiarum Fennicae. Mathematica

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