[1] NIST Digital Library of Mathematical Functions (https://dlmf.nist.gov)

[2] Richard Askey; Stephen Wainger Mean convergence of expansions in Laguerre und Hermite series, Am. J. Math., Volume 87 (1965), pp. 695-708 | DOI | Zbl

[3] Sheldon Axler; Paul Bourdon; Wade Ramey Harmonic function theory, Graduate Texts in Mathematics, 137, Springer, 2001 | DOI

[4] Juan A. Barceló; Alberto Ruiz; Luis Vega Weighted estimates for the Helmholtz equation and some applications, J. Funct. Anal., Volume 150 (1997) no. 2, pp. 356-382 | DOI | MR

[5] William G. C. Boyd; T. M. Dunster Uniform asymptotic solutions of a class of second-order linear differential equations having a turning point and a regular singularity, with an application to Legendre functions, SIAM J. Math. Anal., Volume 17 (1986), pp. 422-450 | DOI | MR | Zbl

[6] Nicolas Burq; Semyon Dyatlov; Rachel Ward; Maciej Zworski Weighted eigenfunction estimates with applications to compressed sensing, SIAM J. Math. Anal., Volume 44 (2012) no. 5, pp. 3481-3501 | DOI | MR | Zbl

[7] Valentina Casarino; Paolo Ciatti; Alessio Martini From refined estimates for spherical harmonics to a sharp multiplier theorem on the Grushin sphere, Adv. Math., Volume 350 (2019), pp. 816-859 | DOI | MR | Zbl

[8] Valentina Casarino; Paolo Ciatti; Alessio Martini Weighted spectral cluster bounds and a sharp multiplier theorem for ultraspherical Grushin operators (2021) (to appear in Int. Math. Res. Not., https://doi.org/10.1093/imrn/rnab007)

[9] Gian Maria Dall’Ara; Alessio Martini A robust approach to sharp multiplier theorems for Grushin operators, Trans. Am. Math. Soc., Volume 373 (2020) no. 11, pp. 7533-7574 | DOI | MR | Zbl

[10] Arthur Erdélyi; W. Magnus; F. Oberhettinger; Francesco G. Tricomi Higher Transcendental Functions. Vol. II, Robert E. Krieger Publishing Company, 1981

[11] Charles Fefferman; Duong H. Phong Subelliptic eigenvalue problems, Harmonic analysis. Conference on harmonic analysis in honor of Antoni Zygmund (Chicago, 1981) (The Wadsworth Mathematics Series), Wadsworth International Group, 1983, pp. 590-606 | Zbl

[12] Rupert L. Frank; Julien Sabin Spectral cluster bounds for orthonormal systems and oscillatory integral operators in Schatten spaces, Adv. Math., Volume 317 (2017), pp. 157-192 | DOI | MR | Zbl

[13] Uffe Haagerup; Henrik Schlichtkrull Inequalities for Jacobi polynomials, Ramanujan J., Volume 33 (2014) no. 2, pp. 227-246 | DOI | MR | Zbl

[14] Lars Hörmander The spectral function of an elliptic operator, Acta Math., Volume 121 (1968), pp. 193-218 | DOI | MR | Zbl

[15] Adam D. Horwich; Alessio Martini Almost everywhere convergence of Bochner–Riesz means on Heisenberg-type groups, J. Lond. Math. Soc., Volume 103 (2021) no. 3, pp. 1066-1119 | DOI | MR | Zbl

[16] Tom Koornwinder; Aleksey Kostenko; Gerald Teschl Jacobi polynomials, Bernstein-type inequalities and dispersion estimates for the discrete Laguerre operator, Adv. Math., Volume 333 (2018), pp. 796-821 | DOI | MR | Zbl

[17] Ilia Krasikov On the Erdélyi–Magnus–Nevai conjecture for Jacobi polynomials, Constr. Approx., Volume 28 (2008) no. 2, pp. 113-125 | DOI | Zbl

[18] Ilia Krasikov On approximation of ultraspherical polynomials in the oscillatory region, J. Approx. Theory, Volume 222 (2017), pp. 143-156 | DOI | MR | Zbl

[19] Lawrence J. Landau Bessel functions: monotonicity and bounds, J. Lond. Math. Soc., Volume 61 (2000) no. 1, pp. 197-215 | DOI | MR | Zbl

[20] Georg Lohöfer Inequalities for Legendre functions and Gegenbauer functions, J. Approx. Theory, Volume 64 (1991) no. 2, pp. 226-234 | DOI | MR | Zbl

[21] Georg Lohöfer Inequalities for the associated Legendre functions, J. Approx. Theory, Volume 95 (1998) no. 2, pp. 178-193 | DOI | MR | Zbl

[22] Alessio Martini; Detlef Müller; Sebastiano Nicolussi Golo Spectral multipliers and wave equation for sub-Laplacians: lower regularity bounds of Euclidean type (2019) (to appear in J. Eur. Math. Soc., https://arxiv.org/abs/1812.02671)

[23] Martin E. Muldoon; Renato Spigler Some remarks on zeros of cylinder functions, SIAM J. Math. Anal., Volume 15 (1984), pp. 1231-1233 | DOI | MR | Zbl

[24] Paul Nevai; Tamás Erdélyi; Alphonse P. Magnus Generalized Jacobi weights, Christoffel functions, and Jacobi polynomials, SIAM J. Math. Anal., Volume 25 (1994) no. 2, pp. 602-614 | DOI | MR | Zbl

[25] Frank W. J. Olver Asymptotics and Special Functions, Computer Science and Applied Mathematics, Academic Press Inc., 1974

[26] Frank W. J. Olver Legendre functions with both parameters large, Philos. Trans. R. Soc. Lond., Ser. A, Volume 278 (1975), pp. 175-185 | MR | Zbl

[27] Frank W. J. Olver Second order linear differential equations with two turning points, Philos. Trans. R. Soc. Lond., Ser. A, Volume 278 (1975), pp. 137-174 | MR | Zbl

[28] Holger Rauhut; Rachel Ward Sparse recovery for spherical harmonic expansions (2011) (SampTA 2011 Conference Proceedings https://arxiv.org/abs/1102.4097)

[29] Andreas Seeger; Christopher D. Sogge On the boundedness of functions of (pseudo-) differential operators on compact manifolds, Duke Math. J., Volume 59 (1989) no. 3, pp. 709-736 | MR | Zbl

[30] Christopher D. Sogge Concerning the $L^p$ norm of spectral clusters for second-order elliptic operators on compact manifolds, J. Funct. Anal., Volume 77 (1988) no. 1, pp. 123-138 | DOI | MR | Zbl

[31] Elias M. Stein; Guido Weiss Introduction to Fourier analysis on Euclidean spaces, Princeton Mathematical Series, 32, Princeton University Press, 1971

[32] Gabor Szegö Orthogonal polynomials, Colloquium Publications, 23, American Mathematical Society, 1975 | MR

[33] Sundaram Thangavelu Lectures on Hermite and Laguerre Expansions, Mathematical Notes, 42, Princeton University Press, 1993 | DOI

[34] Edward C. Titchmarsh Eigenfunction expansions associated with second-order differential equations. Part I, Clarendon Press, 1962

[35] Naum Ja. Vilenkin Special Functions and the Theory of Group Representations, Translations of Mathematical Monographs, 22, American Mathematical Society, 1968 | DOI