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<table class="notes">
<colgroup>
<col span="3">
<!--col span="1" style="visibility:collapse;"-->
</colgroup>
<thead>
<tr>
<th>Year</th> <th>Name</th><th>Paper Link</th><th>Comments/Helpful references</th>
</tr>
</thead>
<tr>
<td>2024</td>
<td>Infinite Quantum signal processing for arbitrary Szego functions
<div style="font-size:12px">joint with Lin Lin, Gevorg Mnatsakanyan, Christoph Thiele and Jiasu Wang</div> </td>
<td><a href="https://arxiv.org/abs/2407.05634">ArXiv</a> </td>
<td>Follow-up on the previous paper, where we provide a complete solution to iQSP for Szego functions!</td>
</tr>
<tr>
<td>2023</td>
<td>Quantum signal processing and nonlinear Fourier analysis
<div style="font-size:12px">joint with Gevorg Mnatsakanyan and Christoph Thiele</div> </td>
<td><a href="https://arxiv.org/abs/2310.12683">ArXiv</a> || <a href="https://link.springer.com/article/10.1007/s13163-024-00494-5">Revista Matemática Complutense</a></td>
<td>Relates the nonlinear Fourier transform to a new, active area of Quantum Computing!!</td>
</tr>
<tr>
<td>2023</td>
<td>Haar basis testing
<div style="font-size:12px">joint with Jose Luis Luna-Garcia and Eric Sawyer</div> </td>
<td><a href="https://arxiv.org/abs/2309.03743">ArXiv</a></td>
<td></td>
</tr>
<tr>
<td>2023</td>
<td>The scalar T1 theorem for pairs of doubling measures fails for Riesz transforms when p not 2
<div style="font-size:12px">joint with Jose Luis Luna-Garcia, Eric Sawyer and Ignacio Uriarte-Tuero</div> </td>
<td><a href="https://arxiv.org/abs/2308.15739">ArXiv</a></td>
<td>Like the previous one, but for <b>doubling measures</b> now. See last 2-3 slides of <a href="talk_notes/two_weight_counterexamples_2023.pdf">Slides</a> (also note T1 theorem claimed for general operators in slides has not yet been proven, due to an error in the proof we wrote)</td>
</tr>
<tr>
<td>2023</td>
<td>The T1 theorem for the Hilbert transform fails when p is not 2
<div style="font-size:12px">joint with Jose Luis Luna-Garcia, Eric Sawyer and Ignacio Uriarte-Tuero</div> </td>
<td><a href="https://arxiv.org/abs/2301.10046">ArXiv</a>||To appear in Journal d'Analyse</td>
<td>It's really short!</td>
</tr>
<tr>
<td>2022</td>
<td>Stability of Weighted Norm Inequalities
<div style="font-size:12px">joint with Jose Luis Luna-Garcia, Eric Sawyer and Ignacio Uriarte-Tuero</div> </td>
<td><a href="https://arxiv.org/abs/2208.08400">ArXiv</a>||To appear in Revista Matemática Iberoamericana</td>
<td>Expository <a href="https://youtu.be/8_pErGNQmXc">talk</a> I gave; see accompanying <a href="talk_notes/OTTER_2023_biLip_instability_doubling.pdf">slides</a> and <a href="talk_notes/OTTER_2023_biLip_instability_doubling_errata.html">errata</a>.</td>
</tr>
<tr>
<td>2021</td>
<td>A weak to strong type T1 theorem for general smooth Calderón-Zygmund operators with doubling weights, II
<div style="font-size:12px">joint with Eric Sawyer and Ignacio Uriarte-Tuero</div> </td>
<td><a href="https://arxiv.org/abs/2111.06277">ArXiv</a> (Correct) ||<a href="https://authors.elsevier.com/sd/article/S0022-1236(23)00296-3">JFA</a> (with error)</td>
<td>A previous version of this paper erroneously claimed a stronger result. The most recent ArXiv version corrects this error by proving a weaker result.</td>
</tr>
<tr>
<td>2022</td>
<td>The Steklov problem and Remainder Estimates for Krein Systems generated by a Muckenhoupt weight</td>
<td><a href="https://arxiv.org/abs/2208.13368">ArXiv</a></td>
<td>Like previous paper, but in the continuous setting. See also <a href="talk_notes/thesis_defense_slides.pdf">thesis defense slides</a>.</td>
<td></td>
</tr>
<tr>
<td>2019</td>
<td>Continuity of Weighted Operators in A_p weights and Steklov Problem for Orthogonal Polynomials
<div style="font-size:12px">joint with Alexander Aptekarev, Sergey Denisov</div>
</td>
<td><a href="http://arxiv.org/abs/1912.09377">ArXiv</a>||<a href="https://academic.oup.com/imrn/advance-article/doi/10.1093/imrn/rnaa249/5930866?guestAccessKey=d6d3d437-83fe-4db6-ab71-66117d61210d">IMRN</a></td>
<td><a href="talk_notes/thesis_defense_slides.pdf">Thesis defense slides</a></td>
</tr>
</table>