My notes on various works that I’m reading:
My notes
on the paper
Graham,
R. C., Guillarmou, C., Uhlmann, G., & Stefanov, P. (2019). X-Ray Transform
and Boundary Rigidity for Asymptotically Hyperbolic Manifolds. Annales de L’Institut Fourier, 69(7), 2857-2919.
· To
see the original paper on the publisher’s website, click here.
My
notes
on the paper
Guillarmou,
C., Paternain, G. P., Salo, M., & Uhlmann, G. (2016). The X-Ray Transform
for Connections in Negative Curvature. Commun.
Math. Phys., 343, 83 - 127.
· To
see the original paper on the publisher’s website, click here.
My notes
on the paper
Paternain,
G. P., Salo, M., & Uhlmann, G. (2015, February 1). Invariant distributions,
Beurling transforms and tensor tomography in higher dimensions. Mathematische Annalen(363), 305–362.
· To
see the original paper on the University of Cambridge repository, click here (pages
numbers are a little different from the Springer version)
My notes
on the book
Paternain,
G., Salo, M., & Uhlmann, G. (2022). Geometric Inverse Problems, With
Emphasis in Two Dimensions. Cambridge: Cambridge University Press &
Assessment.
· To
see a draft of the book on one of the authors website, click
here.
My
notes
on the paper
Pestov,
L., & Uhlmann, G. (2005). Two Dimensional Compact Simple Riemannian
Manifolds are Boundary Distance Rigid. Annals of Mathematics, 161,
1093-1110.
· To
see the original paper on the publisher’s website, click
here.
My notes
on the textbook
Folland,
G. B. (1995). Introduction to Partial Differential Equations (2nd ed.).
Princeton: Princeton University Press.
My notes
on the textbook
Folland,
G. B. (1999). Real Analysis: Modern Techniques and Their Applications
(2nd ed.). John Wiley & Sons, Inc.
My notes
on the textbook
Friedlander,
G., & Joshi, M. (1998). Introduction to the Theory of Distributions
(2nd ed.). Cambridge University Press.
My notes
on the document
Hintz,
P. (n.d.). Introduction to Microlocal Analysis. Retrieved from https://people.math.ethz.ch/~hintzp/notes/micro.pdf
My notes
on the textbook
Lee,
J. M. (2013). Introduction to Smooth Manifolds (2nd ed.). New York:
Springer Science + Bussiness Media.
My notes
on the textbook
Lee,
J. M. (2018). Introduction to Riemannian Manifolds (2nd ed.). Cham,
Switzerland: Springer International Publishing AG.
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