โ Scribed by De Grande-De Kimpe, N.; Kakol, J.; Perez-Garcia, Cristina (eds.)
No coin nor oath required. For personal study only.
A presentation of results in p-adic Banach spaces, spaces over fields with an infinite rank valuation, Frechet (and locally convex) spaces with Schauder bases, function spaces, p-adic harmonic analysis, and related areas. It showcases research results in functional analysis over nonarchimedean valued complete fields. It explores spaces of continuous functions, isometries, Banach Hopf algebras, summability methods, fractional differentiation over local fields, and adelic formulas for gamma- and beta-functions in algebraic number theory
Content: Strict topologies and duals in spaces of functions
ultrametric weakly separating maps with closed range
analytic spectrum of an algebra of strictly analytic p-adic functions
an improvement of the p-adic Nevanlinna theory and application to meromorphic functions
an application of C-compactness
on the integrity of the dual algebra of some complete ultrametric Hopf algebras
on p-adic power series
Hartogs-Stawski's theorem in discrete valued fields
the Fourier transform for p-adic tempered distributions
on the Mahler coefficients of the logarithmic derivative of the p-adic gamma function
p-adic (dF) spaces
on the weak basis theorems for p-adic locally convex spaces
fractional differentiation operator over an infinite extension of a local field
some remarks on duality of locally convex BK-modules
spectral properties of p-adic Banach algebras
surjective isometries of space of continuous functions
on the algebras (c,c) and (l-alpha, l-alpha) in nonarchimedean fields
Banach spaces over fields with an infinite rank valuation
the p-adic Banach-Dieudonne Theorem and semicompact inductive limits
Mahler's and other bases for p-adic continuous functions
orthonormal bases for nonarchimedean Banach spaces of continuous functions.
๐ SIMILAR VOLUMES
A presentation of results in p-adic Banach spaces, spaces over fields with an infinite rank valuation, Frechet (and locally convex) spaces with Schauder bases, function spaces, p-adic harmonic analysis, and related areas. It showcases research results in functional analysis over nonarchimedean value
Written by accomplished and well-known researchers in the field, this unique volume discusses important research topics on p-adic functional analysis and closely related areas, provides an authoritative overview of the main investigative fronts where developments are expected in the future, and more
<p>Neal Koblitz was a student of Nicholas M. Katz, under whom he received his Ph.D. in mathematics at Princeton in 1974. He spent the year 1974 -75 and the spring semester 1978 in Moscow, where he did research in p -adic analysis and also translated Yu. I. Manin's "Course in Mathematical Logic" (GTM