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Whittaker function
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<h2 id="further-reading">Further reading</h2> <ul><li>Hatamzadeh-Varmazyar, Saeed; Masouri, Zahra (2012-11-01). <a href="http://www.sciencedirect.com/science/article/pii/S0955799712001129">"A fast numerical method for analysis of one- and two-dimensional electromagnetic scattering using a set of cardinal functions"</a>. <i>Engineering Analysis with Boundary Elements</i>. 36 (11): 1631–1639. <a href="/facts/Doi_(identifier)/muM9Etpq">doi</a>:<a href="https://doi.org/10.1016%2Fj.enganabound.2012.04.014">10.1016/j.enganabound.2012.04.014</a>. <a href="/facts/ISSN_(identifier)/DPAflDvU">ISSN</a> <a href="https://search.worldcat.org/issn/0955-7997">0955-7997</a>.</li> <li>Gerasimov, A. A.; Lebedev, Dmitrii R.; Oblezin, Sergei V. (2012). <a href="https://iopscience.iop.org/article/10.1070/RM2012v067n01ABEH004776/meta">"New integral representations of Whittaker functions for classical Lie groups"</a>. <i>Russian Mathematical Surveys</i>. 67 (1): 1–92. <a href="/facts/ArXiv_(identifier)/H6EtgnBe">arXiv</a>:<a href="https://arxiv.org/abs/0705.2886">0705.2886</a>. <a href="/facts/Bibcode_(identifier)/9HtdQSGB">Bibcode</a>:<a href="https://ui.adsabs.harvard.edu/abs/2012RuMaS..67....1G">2012RuMaS..67....1G</a>. <a href="/facts/Doi_(identifier)/muM9Etpq">doi</a>:<a href="https://doi.org/10.1070%2FRM2012v067n01ABEH004776">10.1070/RM2012v067n01ABEH004776</a>. <a href="/facts/ISSN_(identifier)/DPAflDvU">ISSN</a> <a href="https://search.worldcat.org/issn/0036-0279">0036-0279</a>.</li> <li>Baudoin, Fabrice; O'Connell, Neil (2011). <a href="http://www.numdam.org/item/AIHPB_2011__47_4_1096_0/">"Exponential functionals of brownian motion and class-one Whittaker functions"</a>. <i>Annales de l'Institut Henri Poincaré, Probabilités et Statistiques</i>. 47 (4): 1096–1120. <a href="/facts/ArXiv_(identifier)/H6EtgnBe">arXiv</a>:<a href="https://arxiv.org/abs/0809.2506">0809.2506</a>. <a href="/facts/Bibcode_(identifier)/9HtdQSGB">Bibcode</a>:<a href="https://ui.adsabs.harvard.edu/abs/2011AIHPB..47.1096B">2011AIHPB..47.1096B</a>. <a href="/facts/Doi_(identifier)/muM9Etpq">doi</a>:<a href="https://doi.org/10.1214%2F10-AIHP401">10.1214/10-AIHP401</a>. <a href="/facts/S2CID_(identifier)/ldJsHa2Y">S2CID</a> <a href="https://api.semanticscholar.org/CorpusID:113388">113388</a>.</li> <li>McKee, Mark (April 2009). <a href="https://doi.org/10.4153%2FCJM-2009-019-x">"An Infinite Order Whittaker Function"</a>. <i>Canadian Journal of Mathematics</i>. 61 (2): 373–381. <a href="/facts/Doi_(identifier)/muM9Etpq">doi</a>:<a href="https://doi.org/10.4153%2FCJM-2009-019-x">10.4153/CJM-2009-019-x</a>. <a href="/facts/ISSN_(identifier)/DPAflDvU">ISSN</a> <a href="https://search.worldcat.org/issn/0008-414X">0008-414X</a>. <a href="/facts/S2CID_(identifier)/ldJsHa2Y">S2CID</a> <a href="https://api.semanticscholar.org/CorpusID:55587239">55587239</a>.</li> <li>Mathai, A. M.; Pederzoli, Giorgio (1997-03-01). <a href="https://doi.org/10.1016%2F0024-3795%2895%2900705-9">"Some properties of matrix-variate Laplace transforms and matrix-variate Whittaker functions"</a>. <i>Linear Algebra and Its Applications</i>. 253 (1): 209–226. <a href="/facts/Doi_(identifier)/muM9Etpq">doi</a>:<a href="https://doi.org/10.1016%2F0024-3795%2895%2900705-9">10.1016/0024-3795(95)00705-9</a>. <a href="/facts/ISSN_(identifier)/DPAflDvU">ISSN</a> <a href="https://search.worldcat.org/issn/0024-3795">0024-3795</a>.</li> <li>Whittaker, J. M. (May 1927). <a href="https://doi.org/10.1017%2FS0013091500007318">"On the Cardinal Function of Interpolation Theory"</a>. <i>Proceedings of the Edinburgh Mathematical Society</i>. 1 (1): 41–46. <a href="/facts/Doi_(identifier)/muM9Etpq">doi</a>:<a href="https://doi.org/10.1017%2FS0013091500007318">10.1017/S0013091500007318</a>. <a href="/facts/ISSN_(identifier)/DPAflDvU">ISSN</a> <a href="https://search.worldcat.org/issn/1464-3839">1464-3839</a>.</li> <li>Cherednik, Ivan (2009). <a href="https://ieeexplore.ieee.org/document/8189397">"Whittaker Limits of Difference Spherical Functions"</a>. <i>International Mathematics Research Notices</i>. 2009 (20): 3793–3842. <a href="/facts/ArXiv_(identifier)/H6EtgnBe">arXiv</a>:<a href="https://arxiv.org/abs/0807.2155">0807.2155</a>. <a href="/facts/Doi_(identifier)/muM9Etpq">doi</a>:<a href="https://doi.org/10.1093%2Fimrn%2Frnp065">10.1093/imrn/rnp065</a>. <a href="/facts/ISSN_(identifier)/DPAflDvU">ISSN</a> <a href="https://search.worldcat.org/issn/1687-0247">1687-0247</a>. <a href="/facts/S2CID_(identifier)/ldJsHa2Y">S2CID</a> <a href="https://api.semanticscholar.org/CorpusID:6253357">6253357</a>.</li> <li>Slater, L. J. (October 1954). <a href="https://www.cambridge.org/core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society/article/expansions-of-generalized-whittaker-functions/E011E597828132A26531306D6794C7C3">"Expansions of generalized Whittaker functions"</a>. <i><a href="/facts/Mathematical_Proceedings_of_the_Cambridge_Philosophical_Society/KUUzcS7S">Mathematical Proceedings of the Cambridge Philosophical Society</a></i>. 50 (4): 628–631. <a href="/facts/Bibcode_(identifier)/9HtdQSGB">Bibcode</a>:<a href="https://ui.adsabs.harvard.edu/abs/1954PCPS...50..628S">1954PCPS...50..628S</a>. <a href="/facts/Doi_(identifier)/muM9Etpq">doi</a>:<a href="https://doi.org/10.1017%2FS0305004100029765">10.1017/S0305004100029765</a>. <a href="/facts/ISSN_(identifier)/DPAflDvU">ISSN</a> <a href="https://search.worldcat.org/issn/1469-8064">1469-8064</a>. <a href="/facts/S2CID_(identifier)/ldJsHa2Y">S2CID</a> <a href="https://api.semanticscholar.org/CorpusID:122348447">122348447</a>.</li> <li>Etingof, Pavel (1999-01-12). "Whittaker functions on quantum groups and q-deformed Toda operators". <a href="/facts/ArXiv_(identifier)/H6EtgnBe">arXiv</a>:<a href="https://arxiv.org/abs/math/9901053">math/9901053</a>.</li> <li>McNamara, Peter J. (2011-01-15). <a href="https://projecteuclid.org/euclid.dmj/1292509116">"Metaplectic Whittaker functions and crystal bases"</a>. <i>Duke Mathematical Journal</i>. 156 (1): 1–31. <a href="/facts/ArXiv_(identifier)/H6EtgnBe">arXiv</a>:<a href="https://arxiv.org/abs/0907.2675">0907.2675</a>. <a href="/facts/Doi_(identifier)/muM9Etpq">doi</a>:<a href="https://doi.org/10.1215%2F00127094-2010-064">10.1215/00127094-2010-064</a>. <a href="/facts/ISSN_(identifier)/DPAflDvU">ISSN</a> <a href="https://search.worldcat.org/issn/0012-7094">0012-7094</a>. <a href="/facts/S2CID_(identifier)/ldJsHa2Y">S2CID</a> <a href="https://api.semanticscholar.org/CorpusID:979197">979197</a>.</li> <li>Mathai, A. M.; Pederzoli, Giorgio (1998-01-15). <a href="https://doi.org/10.1016%2FS0024-3795%2897%2900059-1">"A whittaker function of matrix argument"</a>. <i>Linear Algebra and Its Applications</i>. 269 (1): 91–103. <a href="/facts/Doi_(identifier)/muM9Etpq">doi</a>:<a href="https://doi.org/10.1016%2FS0024-3795%2897%2900059-1">10.1016/S0024-3795(97)00059-1</a>. <a href="/facts/ISSN_(identifier)/DPAflDvU">ISSN</a> <a href="https://search.worldcat.org/issn/0024-3795">0024-3795</a>.</li> <li>Frenkel, E.; Gaitsgory, D.; Kazhdan, D.; Vilonen, K. (1998). <a href="https://www.ams.org/jams/1998-11-02/S0894-0347-98-00260-4/">"Geometric realization of Whittaker functions and the Langlands conjecture"</a>. <i>Journal of the American Mathematical Society</i>. 11 (2): 451–484. <a href="/facts/ArXiv_(identifier)/H6EtgnBe">arXiv</a>:<a href="https://arxiv.org/abs/alg-geom/9703022">alg-geom/9703022</a>. <a href="/facts/Doi_(identifier)/muM9Etpq">doi</a>:<a href="https://doi.org/10.1090%2FS0894-0347-98-00260-4">10.1090/S0894-0347-98-00260-4</a>. <a href="/facts/ISSN_(identifier)/DPAflDvU">ISSN</a> <a href="https://search.worldcat.org/issn/0894-0347">0894-0347</a>. <a href="/facts/S2CID_(identifier)/ldJsHa2Y">S2CID</a> <a href="https://api.semanticscholar.org/CorpusID:13221400">13221400</a>.</li></ul> <h2 id="references">References</h2> <ol> <li id="fn:1"><p>Louis de Branges (1968). Hilbert spaces of entire functions. Prentice-Hall. ASIN B0006BUXNM. Sections 55-57. <a href="/wiki/Louis_de_Branges" target="_blank">/wiki/Louis_de_Branges</a> <a href="#fnref:1" class="footnote-back-ref">↩</a></p></li> </ol>