Bal, G.: Inverse transport theory and applications. Inverse Prob. 25(5), 053001 (2009)

Article  ADS  MathSciNet  MATH  Google Scholar 

Balehowsky, T., Kujanpää, A., Lassas, M., Liimatainen, T.: An inverse problem for the relativistic Boltzmann equation. Commun. Math. Phys. 396(3), 983–1049 (2022)

Article  ADS  MathSciNet  MATH  Google Scholar 

Choulli, M., Stefanov, P.: Inverse scattering and inverse boundary value problems for the linear Boltzmann equation. Commun. Partial Differ. Equ. 21(5–6), 763–785 (1996)

Article  MathSciNet  MATH  Google Scholar 

de Hoop, M., Uhlmann, G., Vasy, A.: Diffraction from conormal singularities. Ann. Sci. Éc. Norm. Supér. 48(2), 351–408 (2015)

Article  MathSciNet  MATH  Google Scholar 

Dodelson, S.: Modern Cosmology. Academic Press, Amsterdam (2003)

MATH  Google Scholar 

Duistermaat, J. J.: Fourier Integral Operators. Vol. 130. Springer Science & Business Media, (1995)

Durrer, R.: The Cosmic Microwave Background. Cambridge University Press, Cambridge (2008)

Book  MATH  Google Scholar 

Fajman, D., Joudioux, J., Smulevici, J.: A vector field method for relativistic transport equations with applications. Anal. PDE 10(7), 1539–1612 (2017)

Article  MathSciNet  MATH  Google Scholar 

Hörmander, L.: The Analysis of Linear Partial Differential Operators IV: Fourier Integral Operators. Reprint of the 1994 edition. Classics in Mathematics. Springer, Berlin (2009)

Ilmavirta, J.: X-ray transforms in pseudo-Riemannian geometry. J. Geom. Anal. 28(1), 606–626 (2018)

Article  MathSciNet  MATH  Google Scholar 

Isakov, V.: Inverse Problems for Partial Differential Equations. 3rd edn. Applied Mathematical Sciences, 127. Springer, Cham (2017)

Krauss, L.M., Dodelson, S., Meyer, S.: Primordial gravitational waves and cosmology. Science 328(5981), 989–992 (2010)

Article  ADS  MATH  Google Scholar 

Klibanov, M., Pamyatnykh, S.: Global uniqueness for a coefficient inverse problem for the non-stationary transport equation via Carleman estimate. J. Math. Anal. Appl. 343(1), 352–365 (2008)

Article  MathSciNet  MATH  Google Scholar 

Lai, R.Y., Uhlmann, G., Yang, Y.: Reconstruction of the collision kernel in the nonlinear Boltzmann equation. SIAM J. Math. Anal. 53(1), 1049–1069 (2021)

Article  MathSciNet  MATH  Google Scholar 

Lassas, M., Oksanen, L., Stefanov, P., Uhlmann, G.: The light ray transform on Lorentzian manifolds. Commun. Math. Phys. 377(2), 1349–1379 (2020)

Article  ADS  MathSciNet  MATH  Google Scholar 

Machida, M., Yamamoto, M.: Global Lipschitz stability for inverse problems for radiative transport equations.[SPACE]arXiv:2009.04277 (2020)

Mukhanov, V., Feldman, H., Brandenberger, R.: Theory of cosmological perturbations. Phys. Rep. 215(5–6), 203–333 (1992)

Article  ADS  MathSciNet  MATH  Google Scholar 

Reed, M., Simon, B.: Methods of Modern Mathematical Physics. I. Functional Analysis, 2nd edn. Academic Press Inc, New York (1980)

MATH  Google Scholar 

Stefanov, P.: Inverse problems in transport theory. Inside out: Inverse problems and applications. Math. Sci. Res. Inst. 47, 111–131 (2003)

MATH  Google Scholar 

Stefanov, P.: Support theorem for the light ray transform on analytic Lorentzian manifolds. Proc. Amer. Math. Soc. 145(3), 1259–1274 (2017)

Article  MathSciNet  MATH  Google Scholar 

Stefanov, P., Uhlmann, G.: An inverse source problem in optical molecular imaging. Anal. PDE 1(1), 115–126 (2008)

Article  MathSciNet  MATH  Google Scholar 

A. Torchinsky. Real-Variable Methods in Harmonic Analysis. Reprint of the: Original, p. 2004. Dover Publications Inc, Mineola, NY (1986)

Tréves, F.: Introduction to pseudodifferential and Fourier integral operators Volume 2: Fourier integral operators. University Series in Mathematics. Plenum Press, New York (1980)

Vasy, A., Wang, Y.: On the light ray transform of wave equation solutions. Commun. Math. Phys. 384(1), 503–532 (2021)

Article  ADS  MathSciNet  MATH  Google Scholar 

Wang, Y.: Microlocal Analysis of the Light Ray Transform on Globally Hyperbolic Lorentzian Manifolds. arXiv:2104.08576 (2021)

Wang, Y.: Some integral geometry problems for wave equations. Inverse Prob. 38(8), 084001 (2022)

Article  ADS  MathSciNet  MATH  Google Scholar