Vladimir Bogachev, born in 1961, Professor at the Department of Mechanics and Mathematics of Lomonosov Moscow State University and at the Faculty of Mathematics of the Higher School of Economics (Moscow, Russia) is an expert in measure theory and infinite-dimensional analysis and the author of more than 200 papers and 12 monographs, including his famous two-volume treatise "Measure theory" (Springer, 2007), "Gaussian measures" (AMS, 1997), "Differentiable measures and the Malliavin calculus" (AMS, 2010), "Fokker-Planck-Kolmogorov equations" (AMS, 2015), and others. An author with a high citation index (h=31 with more than 4700 citations according to the Google Scholar), Vladimir Bogachev solved several long-standing problems in measure theory and Fokker-Planck-Kolmogorov equations.

Oleg Smolyanov, born in 1938, Professor at the Department of Mechanics and Mathematics of Lomonosov Moscow State University is an expert in topological vector spacesand infinite-dimensional analysis and author of more than 200 papers and 5 monographs. Oleg Smolyanov solved several long-standing problems in the theory of topological vector spaces.

Offers a concise course on topological vector spaces oriented towards readers interested in infinite-dimensional analysis

Introduces a systematic and accessible presentation for beginners of measure theory on infinite-dimensional spaces in its interplay with the theory of topological vector spaces

Explores differential calculus on general locally convex spaces

Includes supplementary material: [...]

Includes supplementary material: [...]

1. Introduction to the theory of topological vector spaces.- 2. Methods of constructing topological vector spaces.- 3. Duality.- 4. Differential calculus.- 5.Measures on linear spaces.