%% This BibTeX bibliography file was created using BibDesk.
%% http://bibdesk.sourceforge.net/


%% Created for Nick Beaton at 2016-09-24 13:54:23 -0600 


%% Saved with string encoding Unicode (UTF-8) 
@article{AW,
author = {Ahlswede, R. and Winter, A.},
title = {Strong Converse for Identification via Quantum Channels},
year = {2006},
issue_date = {March 2002},
publisher = {IEEE Press},
volume = {48},
number = {3},
issn = {0018-9448},
doi = {10.1109/18.985947},
journal = {IEEE Trans. Inf. Theor.},
month = sep,
pages = {569--579},
numpages = {11}
}

@article{AR,
author = {N. Alon and Y. Roichman},
title = {Random Cayley graphs and expanders},
journal = {Random Structures \& Algorithms},
volume = {5},
number = {2},
pages = {271--284},
doi = {10.1002/rsa.3240050203},
eprint = {https://onlinelibrary.wiley.com/doi/pdf/10.1002/rsa.3240050203},
abstract = {Abstract For every 1 > δ > 0 there exists a c = c(δ) > 0 such that for every group G of order n, and for a set S of c(δ) log n random elements in the group, the expected value of the second largest eigenvalue of the normalized adjacency matrix of the Cayley graph X(G, S) is at most (1 - δ). This implies that almost every such a graph is an ϵ(δ)-expander. For Abelian groups this is essentially tight, and explicit constructions can be given in some cases. © 1994 John Wiley \& Sons, Inc.},
year = {1994}
}

@article{BG1,
  title={On the spectral gap for finitely-generated subgroups of SU(2)
 },
  author={Jean Bourgain and Alex Gamburd},
  journal={Inventiones mathematicae},
  year={2007},
  volume={171},
  pages={83--121}
}

@article{BG2,
abstract = {We establish the spectral gap property for dense subgroups of SU$(d)$$(d\ge 2)$, generated by finitely many elements with algebraic entries; this result was announced in [BG3]. The method of proof differs, in several crucial aspects, from that used in [BG] in the case of SU$(2)$.},
author = {Bourgain, Jean and Gamburd, Alex},
journal = {Journal of the European Mathematical Society},
keywords = {spectral gap property; Hecke operator; spectral gap property; Hecke operator},
language = {eng},
number = {5},
pages = {1455-1511},
publisher = {European Mathematical Society Publishing House},
title = {A spectral gap theorem in SU$(d)$},
url = {http://eudml.org/doc/277218},
volume = {014},
year = {2012},
}

@article{donnelly,
author = "Donnelly, Harold",
fjournal = "Asian Journal of Mathematics",
journal = "Asian J. Math.",
month = "03",
number = "1",
pages = "115--126",
publisher = "International Press of Boston",
title = "Eigenfunctions of the Laplacian on Compact Riemannian Manifolds",
url = "https://projecteuclid.org:443/euclid.ajm/1154098927",
volume = "10",
year = "2006"
}

@article{DG,
author = {Duistermaat, J.J. and  Guillemin, V.W.},
journal = {Inventiones mathematicae},
pages = {39--80},
title = {The Spectrum of Positive Elliptic Operators and Periodic Bicharacteristics.},
url = {http://eudml.org/doc/142329},
volume = {29},
year = {1975},
}

@inproceedings{Grigor,
  title={Heat Kernel and Analysis on Manifolds},
journal = {Contemporary Mathematics},
  author={Alexander Grigoryan},
  year={2012}
}

@article{Hormander,
author = "Hörmander, Lars",
doi = "10.1007/BF02391913",
fjournal = "Acta Mathematica",
journal = "Acta Math.",
pages = "193--218",
publisher = "Institut Mittag-Leffler",
title = "The spectral function of an elliptic operator",
volume = "121",
year = "1968"
}

@article{LR,
author = {Landau, Zeph and Russell, Alexander},
journal = {The Electronic Journal of Combinatorics [electronic only]},
keywords = {Alon-Roichman theorem; Cayley graph; eigenvalue; expander; irreducible representations},
language = {eng},
number = {1},
pages = {Research paper R62, 6 p.-Research paper R62, 6 p.},
publisher = {Prof. André Kündgen, Deptartment of Mathematics, California State University San Marcos, San Marcos},
title = {Random Cayley graphs are expanders: a simple proof of the Alon-Roichman theorem.},
url = {http://eudml.org/doc/124014},
volume = {11},
year = {2004},
}

@article{Lub,
author = {Lubotzky, A. and Phillips, R. and Sarnak, P.},
title = {Hecke operators and distributing points on S2. II},
journal = {Communications on Pure and Applied Mathematics},
volume = {40},
number = {4},
pages = {401--420},
doi = {10.1002/cpa.3160400402},
year = {1987}
}

@article{Minakshisundaram1,
	author = {S. Minakshisundaram},
	title = {Eigenfunctions on {R}iemannian Manifolds},
	journal = {The Journal of the Indian Mathematical Society},
	volume = {17},
	number = {4},
	year = {1953},
	keywords = {},
	abstract = {In this note I give an alternative proof of some of the properties of the eigenfunctions of the Laplace operator on Riemannian manifolds, which Pleijel and I proved some time back [2]. Instead of using Carleman's method, I use the heat equation as I did in the case of the Euclidean space [1].},
	issn = {2455-6475},
	url = {http://www.informaticsjournals.com/index.php/jims/article/view/17029},
	pages = {159--165}
}

@article{Minakshisundaram, title={Some Properties of the Eigenfunctions of The {L}aplace-Operator on {R}iemannian Manifolds}, volume={1}, DOI={10.4153/CJM-1949-021-5}, number={3}, journal={Canadian Journal of Mathematics}, publisher={Cambridge University Press}, author={Minakshisundaram, S. and Pleijel, A.}, year={1949}, pages={242--256}}