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<pre style="text-align:center"><b style="mso-bidi-font-weight:
normal"><u><span style="font-size:18.0pt;font-family:"Times New Roman","serif"">SEMINARI DI SISTEMI DINAMICI OLOMORFI<o:p></o:p></span></u></b></pre>
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Roman","serif""><o:p><span
style="text-decoration: none"> </span></o:p></span></p>
<p class="MsoNormal" style="margin-left:9.0pt;text-align:center;
line-height:18.0pt;tab-stops:324.0pt" align="center"><span
style="font-size:16.0pt;font-family:
"Times New
Roman","serif";mso-no-proof:yes">Giovedė 28
novembre 2013</span><span
style="font-size:16.0pt;font-family:"Times New
Roman","serif""><o:p></o:p></span></p>
<p class="MsoNormal" style="margin-left:9.0pt;text-align:center;
line-height:18.0pt;tab-stops:324.0pt" align="center"><span
style="font-size:16.0pt;font-family:
"Times New Roman","serif"">ore <span
style="mso-no-proof:yes">14:30- 15:30</span><o:p></o:p></span></p>
<p class="MsoNormal" style="margin-left:9.0pt;text-align:center;
line-height:18.0pt;tab-stops:324.0pt" align="center"><span
style="font-size:16.0pt;font-family:
"Times New Roman","serif""><o:p> </o:p></span></p>
<p class="MsoNormal" style="margin-left:9.0pt;text-align:center;
line-height:18.0pt;tab-stops:324.0pt" align="center"><u><span
style="font-size:16.0pt;
font-family:"Times New Roman","serif"">Scuola
Normale Superiore<o:p></o:p></span></u></p>
<p class="MsoNormal" style="margin-left:9.0pt;text-align:center;
line-height:18.0pt;tab-stops:324.0pt" align="center"><span
style="font-size:16.0pt;font-family:
"Times New Roman","serif"">Pisa<o:p></o:p></span></p>
<pre style="text-align:center"><span style="font-size:16.0pt;font-family:"Times New Roman","serif"">Sala Conferenze (Puteano, Centro De Giorgi)<o:p></o:p></span></pre>
<p class="MsoNormal" style="margin-left:9.0pt;text-align:center;
line-height:18.0pt;tab-stops:324.0pt" align="center"><span
style="font-size:16.0pt;font-family:
"Times New Roman","serif""><o:p> </o:p></span></p>
<p class="MsoNormal" style="tab-stops:324.0pt"><b><u><span
style="font-size:10.0pt;
font-family:"Times New Roman","serif""><o:p><span
style="text-decoration:none"> </span></o:p></span></u></b></p>
<pre style="text-align:center"><b style="mso-bidi-font-weight:normal"><span style="font-size:22.0pt;font-family:"Times New Roman","serif";
mso-ansi-language:EN-US" lang="EN-US">Izabela Petrykiewicz</span></b><b style="mso-bidi-font-weight:
normal"><span style="mso-ansi-language:EN-US" lang="EN-US"><o:p></o:p></span></b></pre>
<pre style="text-align:center"><i style="mso-bidi-font-style:normal"><span style="font-size:12.0pt;font-family:"Times New Roman","serif"">(Institut Fourier - Grenoble)<o:p></o:p></span></i></pre>
<pre style="text-align:center"><i style="mso-bidi-font-style:normal"><span style="font-size:12.0pt;font-family:"Times New Roman","serif""><o:p> </o:p></span></i></pre>
<p class="MsoNormal" style="text-align:center;tab-stops:324.0pt"
align="center"><span
style="font-size:16.0pt;font-family:"Times New
Roman","serif"">Terrā un
seminario dal titolo:<o:p></o:p></span></p>
<p class="MsoNormal" style="text-align:center;tab-stops:324.0pt"
align="center"><b style="mso-bidi-font-weight:normal"><span
style="font-size:14.0pt;font-family:
"Times New Roman","serif""><o:p> </o:p></span></b></p>
<pre style="text-align:center"><b style="mso-bidi-font-weight:normal"><span style="font-size:22.0pt;font-family:"Times New Roman","serif";
mso-ansi-language:EN-US" lang="EN-US">“Hölder regularity of arithmetic Fourier series arising from Eisenstein series”<o:p></o:p></span></b></pre>
<p class="MsoNormal" style="text-align:center" align="center"><b
style="mso-bidi-font-weight:
normal"><span style="font-size:22.0pt;font-family:"Times
New Roman","serif";
mso-ansi-language:EN-US" lang="EN-US"><o:p> </o:p></span></b></p>
<p class="MsoNormal" style="text-align:justify"><b
style="mso-bidi-font-weight:
normal"><span style="font-family:"Times New
Roman","serif";
mso-ansi-language:EN-US" lang="EN-US">Abstract:<o:p></o:p></span></b></p>
<pre style="text-align:justify"><span style="font-size:12.0pt;
font-family:"Times New Roman","serif";mso-ansi-language:EN-US" lang="EN-US">In my talk I will present our recent results concerning local behaviour of certain Fourier series, which are related to Eisenstein series.
In our analysis we apply wavelets methods proposed by Jaffard in 1996 in the study of the Riemann series, and we use the modularity (and quasimodularity) of Eisenstein series.
We find that the Hölder regularity exponent at an irrational x is related to the continued fraction expansion of x, in a very precise way.
Since modular forms can be expressed in terms of Eisenstein series, at the end of my talk I will also generalise our findings to a bigger class<span style="mso-spacerun:yes"> </span>of series.<o:p></o:p></span></pre>
<p class="MsoNormal" style="text-align:justify"><span
style="font-size:16.0pt;font-family:"Times New
Roman","serif";mso-ansi-language:
EN-US" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align:justify"><span
style="font-size:16.0pt;
font-family:"Times New Roman","serif"">Tutti
gli interessati sono invitati a
partecipare.<o:p></o:p></span></p>
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<p class="Corpodeltesto" style="tab-stops:9.0cm"><span
style="font-size:16.0pt;
font-family:"Times New
Roman","serif";mso-ansi-language:IT"><span
style="mso-tab-count:3">
</span>Classe
di Scienze<o:p></o:p></span></p>
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<pre class="moz-signature" cols="72">--
--------------------------------------------------------------------------------
Valeria Giuliani
Scuola Normale Superiore
Servizio alla Didattica e Allievi
Tel. 050-509260
Piazza dei Cavalieri, 7
56126 Pisa
E-Mail: <a class="moz-txt-link-abbreviated" href="mailto:v.giuliani@sns.it">v.giuliani@sns.it</a>
E-Mail: <a class="moz-txt-link-abbreviated" href="mailto:classi@sns.it">classi@sns.it</a>
Le informazioni contenute nella presente e-mail e nei relativi allegati possono essere riservate e sono, comunque, destinate esclusivamente al destinatario in indirizzo.
E’ vietata, pertanto, la diffusione, distribuzione e/o copiatura di tali informazioni da parte di qualsiasi soggetto diverso dal destinatario.
Chiunque abbia ricevuto o letto questa e-mail per errore o senza esserne legittimato č invitato a darne immediatamente notizia al mittente tramite fax o e-mail e a distruggerla.
Grazie.
</pre>
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