The Net Advance of Physics:
FUNCTIONAL ANALYSIS

MATHEMATICS: FUNCTIONAL ANALYSIS:

• General:
  • Functional Analysis with Applications by Palle Jorgensen and Feng Tian [2014/08] Textbook, 338 pp.
  • An Introduction to Functional Analysis for Science and Engineering by David A. B. Miller [2019/04]
  • Functional analysis by J. van Neerven [2021/12] ~700 pp.
  • Time-frequency analysis (Lecture notes) by M. Faulhuber [2022/04] 149 pp.
  • Functional analysis and operator theory by N. Arcozzi [2025/05]

• Aspects: BIRKHOFF--JAMES ORTHOGONALITY:
  • Birkhoff-James orthogonality and applications: A survey by P. Grover and Sushil S. [2020/05]

• Aspects: CO-ORBITS:
  • A primer on coorbit theory: From basics to recent developments by E. Berge [2021/01]

• Aspects: DE BRANGES-ROVNYAK SPACES:
  • A short introduction to de Branges--Rovnyak spaces by Dan Timotin [2014/11]

• Aspects: FEICHTINGER ALGEBRA:
  • A brief introduction to the Feichtinger algebra by E. Berge [2021/06]

• Aspects: FREDHOLM THEORY:
  • Polyfold and Fredholm Theory by Helmut Hofer et al. [2017/07] 700+ pp.

• Aspects: INVERSION:
  • Global Inversion of Functions: an Introduction by Giuseppe De Marco et al. [NoDEA 1, 229 (1994)]

• Aspects: MEASURE THEORY:
  • Measures and all that --- A Tutorial by Ernst-Erich Doberkat [2014/09]

• Aspects: MODULAR FORMS:
  • Mirror Symmetry and Modularity by Babak Haghighat [2017/12]

• Aspects: POLYFOLD THEORY:
  • Polyfold and Fredholm Theory by Helmut Hofer et al. [2017/07] 700+ pp.

• Re: GEOMETRY:
  • Functional Calculus and Harmonic Analysis in Geometry by Lashi Bandara [2018/12]

THE NET ADVANCE OF PHYSICS