Spectral Theory

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href="/list/math.SP/recent?skip=6&show=50"> Thu, 1 May 2025 </a> </li><li> <a href="/list/math.SP/recent?skip=8&show=50"> Wed, 30 Apr 2025 </a> </li><li> <a href="/list/math.SP/recent?skip=10&show=50"> Tue, 29 Apr 2025 </a> </li><li> <a href="/list/math.SP/recent?skip=12&show=50"> Mon, 28 Apr 2025 </a> </li></ul> <p>See today's <a id="new-math.SP" aria-labelledby="new-math.SP" href="/list/math.SP/new">new</a> changes</p> <div class='paging'>Total of 16 entries </div> <div class='morefewer'>Showing up to 50 entries per page: <a href=/list/math.SP/recent?skip=0&show=25 rel="nofollow"> fewer</a> | <span style="color: #454545">more</span> | <span style="color: #454545">all</span> </div> <dl id='articles'> <h3>Fri, 2 May 2025 (showing 6 of 6 entries )</h3> <dt> <a name='item1'>[1]</a> <a href ="/abs/2505.00699" title="Abstract" id="2505.00699"> arXiv:2505.00699 </a> [<a href="/pdf/2505.00699" title="Download PDF" id="pdf-2505.00699" aria-labelledby="pdf-2505.00699">pdf</a>, <a href="https://arxiv.org/html/2505.00699v1" title="View HTML" id="html-2505.00699" aria-labelledby="html-2505.00699" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2505.00699" title="Other formats" id="oth-2505.00699" aria-labelledby="oth-2505.00699">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Polynomial and rational matrices with the invariant rational functions and the four sequences of minimal indices prescribed </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Baraga%C3%B1a,+I">Itziar Baraga帽a</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Dopico,+F+M">Froil谩n M. Dopico</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Marcaida,+S">Silvia Marcaida</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Roca,+A">Alicia Roca</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Spectral Theory (math.SP)</span> </div> </div> </dd> <dt> <a name='item2'>[2]</a> <a href ="/abs/2505.00669" title="Abstract" id="2505.00669"> arXiv:2505.00669 </a> [<a href="/pdf/2505.00669" title="Download PDF" id="pdf-2505.00669" aria-labelledby="pdf-2505.00669">pdf</a>, <a href="https://arxiv.org/html/2505.00669v1" title="View HTML" id="html-2505.00669" aria-labelledby="html-2505.00669" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2505.00669" title="Other formats" id="oth-2505.00669" aria-labelledby="oth-2505.00669">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Direct spectral problems for Paley-Wiener canonical systems </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Zhang,+A+R">Ashley R. Zhang</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Spectral Theory (math.SP)</span> </div> </div> </dd> <dt> <a name='item3'>[3]</a> <a href ="/abs/2505.00485" title="Abstract" id="2505.00485"> arXiv:2505.00485 </a> [<a href="/pdf/2505.00485" title="Download PDF" id="pdf-2505.00485" aria-labelledby="pdf-2505.00485">pdf</a>, <a href="https://arxiv.org/html/2505.00485v1" title="View HTML" id="html-2505.00485" aria-labelledby="html-2505.00485" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2505.00485" title="Other formats" id="oth-2505.00485" aria-labelledby="oth-2505.00485">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Direct and inverse spectral continuity for Dirac operators </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Bessonov,+R">Roman Bessonov</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Gubkin,+P">Pavel Gubkin</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 37 pages </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Spectral Theory (math.SP)</span> </div> </div> </dd> <dt> <a name='item4'>[4]</a> <a href ="/abs/2505.00094" title="Abstract" id="2505.00094"> arXiv:2505.00094 </a> [<a href="/pdf/2505.00094" title="Download PDF" id="pdf-2505.00094" aria-labelledby="pdf-2505.00094">pdf</a>, <a href="https://arxiv.org/html/2505.00094v1" title="View HTML" id="html-2505.00094" aria-labelledby="html-2505.00094" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2505.00094" title="Other formats" id="oth-2505.00094" aria-labelledby="oth-2505.00094">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> On Spectral Properties of Restricted Fractional Laplacians with Self-adjoint Boundary Conditions on a Finite Interval </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Behrndt,+J">Jussi Behrndt</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Holzmann,+M">Markus Holzmann</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Mugnolo,+D">Delio Mugnolo</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 29 pages; comments welcome! </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Spectral Theory (math.SP)</span>; Classical Analysis and ODEs (math.CA); Functional Analysis (math.FA) </div> </div> </dd> <dt> <a name='item5'>[5]</a> <a href ="/abs/2505.00428" title="Abstract" id="2505.00428"> arXiv:2505.00428 </a> (cross-list from math-ph) [<a href="/pdf/2505.00428" title="Download PDF" id="pdf-2505.00428" aria-labelledby="pdf-2505.00428">pdf</a>, <a href="https://arxiv.org/html/2505.00428v1" title="View HTML" id="html-2505.00428" aria-labelledby="html-2505.00428" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2505.00428" title="Other formats" id="oth-2505.00428" aria-labelledby="oth-2505.00428">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Cwikel-Lieb-Rozenblum type estimates for the Pauli and magnetic Schr枚dinger operator in dimension two </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&query=Baur,+M">Matthias Baur</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&query=Kovarik,+H">Hynek Kovarik</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span>; Spectral Theory (math.SP) </div> </div> </dd> <dt> <a name='item6'>[6]</a> <a href ="/abs/2505.00245" title="Abstract" id="2505.00245"> arXiv:2505.00245 </a> (cross-list from quant-ph) [<a href="/pdf/2505.00245" title="Download PDF" id="pdf-2505.00245" aria-labelledby="pdf-2505.00245">pdf</a>, <a href="https://arxiv.org/html/2505.00245v1" title="View HTML" id="html-2505.00245" aria-labelledby="html-2505.00245" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2505.00245" title="Other formats" id="oth-2505.00245" aria-labelledby="oth-2505.00245">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> On a time-resolved interpretation of the Husimi function </div> <div class='list-authors'><a href="https://arxiv.org/search/quant-ph?searchtype=author&query=Sabbagh,+R">Ralph Sabbagh</a>, <a href="https://arxiv.org/search/quant-ph?searchtype=author&query=Miangolarra,+O+M">Olga Movilla Miangolarra</a>, <a href="https://arxiv.org/search/quant-ph?searchtype=author&query=Georgiou,+T+T">Tryphon T. Georgiou</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 4 pages </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Quantum Physics (quant-ph)</span>; Mathematical Physics (math-ph); Spectral Theory (math.SP) </div> </div> </dd> </dl> <dl id='articles'> <h3>Thu, 1 May 2025 (showing 2 of 2 entries )</h3> <dt> <a name='item7'>[7]</a> <a href ="/abs/2504.21762" title="Abstract" id="2504.21762"> arXiv:2504.21762 </a> (cross-list from math.DG) [<a href="/pdf/2504.21762" title="Download PDF" id="pdf-2504.21762" aria-labelledby="pdf-2504.21762">pdf</a>, <a href="/format/2504.21762" title="Other formats" id="oth-2504.21762" aria-labelledby="oth-2504.21762">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Spectra of Lorentzian quasi-Fuchsian manifolds </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Delarue,+B">Benjamin Delarue</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Guillarmou,+C">Colin Guillarmou</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Monclair,+D">Daniel Monclair</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Differential Geometry (math.DG)</span>; Dynamical Systems (math.DS); Spectral Theory (math.SP) </div> </div> </dd> <dt> <a name='item8'>[8]</a> <a href ="/abs/2504.21597" title="Abstract" id="2504.21597"> arXiv:2504.21597 </a> (cross-list from math-ph) [<a href="/pdf/2504.21597" title="Download PDF" id="pdf-2504.21597" aria-labelledby="pdf-2504.21597">pdf</a>, <a href="https://arxiv.org/html/2504.21597v1" title="View HTML" id="html-2504.21597" aria-labelledby="html-2504.21597" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2504.21597" title="Other formats" id="oth-2504.21597" aria-labelledby="oth-2504.21597">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Optimizing the ground state energy of the three-dimensional magnetic Dirichlet Laplacian with constant magnetic field </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&query=Baur,+M">Matthias Baur</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 19 pages, 4 figures </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span>; Analysis of PDEs (math.AP); Optimization and Control (math.OC); Spectral Theory (math.SP) </div> </div> </dd> </dl> <dl id='articles'> <h3>Wed, 30 Apr 2025 (showing 2 of 2 entries )</h3> <dt> <a name='item9'>[9]</a> <a href ="/abs/2504.20548" title="Abstract" id="2504.20548"> arXiv:2504.20548 </a> [<a href="/pdf/2504.20548" title="Download PDF" id="pdf-2504.20548" aria-labelledby="pdf-2504.20548">pdf</a>, <a href="https://arxiv.org/html/2504.20548v1" title="View HTML" id="html-2504.20548" aria-labelledby="html-2504.20548" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2504.20548" title="Other formats" id="oth-2504.20548" aria-labelledby="oth-2504.20548">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Asymptotic Pythagorean identity for the Jacobi polynomials </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Sharma,+A">Ankita Sharma</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Spectral Theory (math.SP)</span> </div> </div> </dd> <dt> <a name='item10'>[10]</a> <a href ="/abs/2504.20971" title="Abstract" id="2504.20971"> arXiv:2504.20971 </a> (cross-list from math.FA) [<a href="/pdf/2504.20971" title="Download PDF" id="pdf-2504.20971" aria-labelledby="pdf-2504.20971">pdf</a>, <a href="https://arxiv.org/html/2504.20971v1" title="View HTML" id="html-2504.20971" aria-labelledby="html-2504.20971" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2504.20971" title="Other formats" id="oth-2504.20971" aria-labelledby="oth-2504.20971">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> A distance between operators acting in different Hilbert spaces and operator convergence </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Post,+O">Olaf Post</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Simmer,+J">Jan Simmer</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 15 pages, 1 figure; the reference list is as in the original paper and reflects the state of the art at time of publishing (2019/2020) </div> <div class='list-journal-ref'><span class='descriptor'>Journal-ref:</span> Proceedings in "Control theory of infinite-dimensional systems", pages 53-72, Oper. Theory Adv. Appl., 277, Birkh\"auser/Springer, 2020 </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Functional Analysis (math.FA)</span>; Mathematical Physics (math-ph); Spectral Theory (math.SP) </div> </div> </dd> </dl> <dl id='articles'> <h3>Tue, 29 Apr 2025 (showing 2 of 2 entries )</h3> <dt> <a name='item11'>[11]</a> <a href ="/abs/2504.19610" title="Abstract" id="2504.19610"> arXiv:2504.19610 </a> [<a href="/pdf/2504.19610" title="Download PDF" id="pdf-2504.19610" aria-labelledby="pdf-2504.19610">pdf</a>, <a href="https://arxiv.org/html/2504.19610v1" title="View HTML" id="html-2504.19610" aria-labelledby="html-2504.19610" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2504.19610" title="Other formats" id="oth-2504.19610" aria-labelledby="oth-2504.19610">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Some Laplacian eigenvalues can be computed by matrix perturbation </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Van+Mieghem,+P">Piet Van Mieghem</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Ke,+Y">Yingyue Ke</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Spectral Theory (math.SP)</span> </div> </div> </dd> <dt> <a name='item12'>[12]</a> <a href ="/abs/2504.18783" title="Abstract" id="2504.18783"> arXiv:2504.18783 </a> (cross-list from math.PR) [<a href="/pdf/2504.18783" title="Download PDF" id="pdf-2504.18783" aria-labelledby="pdf-2504.18783">pdf</a>, <a href="https://arxiv.org/html/2504.18783v1" title="View HTML" id="html-2504.18783" aria-labelledby="html-2504.18783" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2504.18783" title="Other formats" id="oth-2504.18783" aria-labelledby="oth-2504.18783">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Perturbing the principal Dirichlet eigenfunction </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Chao,+B">Brian Chao</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Saloff-Coste,+L">Laurent Saloff-Coste</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 47 pages, 10 figures </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Probability (math.PR)</span>; Analysis of PDEs (math.AP); Spectral Theory (math.SP) </div> </div> </dd> </dl> <dl id='articles'> <h3>Mon, 28 Apr 2025 (showing 4 of 4 entries )</h3> <dt> <a name='item13'>[13]</a> <a href ="/abs/2504.18517" title="Abstract" id="2504.18517"> arXiv:2504.18517 </a> [<a href="/pdf/2504.18517" title="Download PDF" id="pdf-2504.18517" aria-labelledby="pdf-2504.18517">pdf</a>, <a href="https://arxiv.org/html/2504.18517v1" title="View HTML" id="html-2504.18517" aria-labelledby="html-2504.18517" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2504.18517" title="Other formats" id="oth-2504.18517" aria-labelledby="oth-2504.18517">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Geometric inequalities between Dirichlet and Neumann eigenvalues </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Hatcher,+L">Lawford Hatcher</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 26 pages, 4 figures </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Spectral Theory (math.SP)</span>; Analysis of PDEs (math.AP) </div> </div> </dd> <dt> <a name='item14'>[14]</a> <a href ="/abs/2504.18487" title="Abstract" id="2504.18487"> arXiv:2504.18487 </a> (cross-list from math-ph) [<a href="/pdf/2504.18487" title="Download PDF" id="pdf-2504.18487" aria-labelledby="pdf-2504.18487">pdf</a>, <a href="https://arxiv.org/html/2504.18487v1" title="View HTML" id="html-2504.18487" aria-labelledby="html-2504.18487" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2504.18487" title="Other formats" id="oth-2504.18487" aria-labelledby="oth-2504.18487">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> On the Excess Charge Problem of Atoms </div> <div class='list-authors'><a href="https://arxiv.org/search/math-ph?searchtype=author&query=Hundertmark,+D">Dirk Hundertmark</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&query=Pattakos,+N">Nikolaos Pattakos</a>, <a href="https://arxiv.org/search/math-ph?searchtype=author&query=Schulz,+M+R">Marvin Raimund Schulz</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 50 pages, 2 figures </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Mathematical Physics (math-ph)</span>; Functional Analysis (math.FA); Spectral Theory (math.SP); Atomic Physics (physics.atom-ph) </div> </div> </dd> <dt> <a name='item15'>[15]</a> <a href ="/abs/2504.18417" title="Abstract" id="2504.18417"> arXiv:2504.18417 </a> (cross-list from math.DG) [<a href="/pdf/2504.18417" title="Download PDF" id="pdf-2504.18417" aria-labelledby="pdf-2504.18417">pdf</a>, <a href="https://arxiv.org/html/2504.18417v1" title="View HTML" id="html-2504.18417" aria-labelledby="html-2504.18417" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2504.18417" title="Other formats" id="oth-2504.18417" aria-labelledby="oth-2504.18417">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> On the eta invariant of (2,3,5) distributions </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Haller,+S">Stefan Haller</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 32 pages </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Differential Geometry (math.DG)</span>; Representation Theory (math.RT); Spectral Theory (math.SP) </div> </div> </dd> <dt> <a name='item16'>[16]</a> <a href ="/abs/2504.17879" title="Abstract" id="2504.17879"> arXiv:2504.17879 </a> (cross-list from math.PR) [<a href="/pdf/2504.17879" title="Download PDF" id="pdf-2504.17879" aria-labelledby="pdf-2504.17879">pdf</a>, <a href="https://arxiv.org/html/2504.17879v1" title="View HTML" id="html-2504.17879" aria-labelledby="html-2504.17879" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2504.17879" title="Other formats" id="oth-2504.17879" aria-labelledby="oth-2504.17879">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Heat kernels, intrinsic contractivity and ergodicity of discrete-time Markov chains killed by potentials </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Cygan,+W">Wojciech Cygan</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Kaleta,+K">Kamil Kaleta</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Schilling,+R+L">Ren茅 L. Schilling</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=%C5%9Aliwi%C5%84ski,+M">Mateusz 艢liwi艅ski</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 39 pages, 1 Table </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Probability (math.PR)</span>; Mathematical Physics (math-ph); Dynamical Systems (math.DS); Functional Analysis (math.FA); Spectral Theory (math.SP) </div> </div> </dd> </dl> <div class='paging'>Total of 16 entries </div> <div class='morefewer'>Showing up to 50 entries per page: <a href=/list/math.SP/recent?skip=0&show=25 rel="nofollow"> fewer</a> | <span style="color: #454545">more</span> | <span style="color: #454545">all</span> </div> </div> </div> </div> </main> <footer style="clear: both;"> <div class="columns is-desktop" role="navigation" aria-label="Secondary" style="margin: -0.75em -0.75em 0.75em -0.75em">  <div class="column" style="padding: 0;"> <div class="columns"> <div class="column"> <ul style="list-style: none; 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