@article{1459972,
      author = {Ban, Dubravka,},
      url = {http://library.usi.edu/record/1459972},
      title = {P-adic banach space representations : with applications to  principal series /},
      abstract = {This book systematically develops the theory of continuous  representations on p-adic Banach spaces. Its purpose is to  lay the foundations of the representation theory of  reductive p-adic groups on p-adic Banach spaces, explain  the duality theory of Schneider and Teitelbaum, and  demonstrate its applications to continuous principal  series. Written to be accessible to graduate students, the  book gives a comprehensive introduction to the necessary  tools, including Iwasawa algebras, p-adic measures and  distributions, p-adic functional analysis, reductive  groups, and smooth and algebraic representations. Part 1  culminates with the duality between Banach space  representations and Iwasawa modules. This duality is  applied in Part 2 for studying the intertwining operators  and reducibility of the continuous principal series on  p-adic Banach spaces. This monograph is intended to serve  both as a reference book and as an introductory text for  graduate students and researchers entering the area.},
      doi = {https://doi.org/10.1007/978-3-031-22684-7},
      recid = {1459972},
      pages = {1 online resource (190 pages)},
}