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Arithmetic Differential Operators over the p-adic Integers (London Mathematical Society Lecture Note Series)

The learn of mathematics differential operators is a singular and promising quarter of arithmetic. this entire creation to the topic begins with the fundamentals: a dialogue of p-adic numbers and a few of the classical differential research at the box of p-adic numbers resulting in the definition of mathematics differential operators in this box.

Ultrametric Calculus: An Introduction to p-Adic Analysis (Cambridge Studies in Advanced Mathematics)

This is often an advent to p-adic research that's ordinary but whole and which screens the range of functions of the topic. Dr Schikhof is ready to indicate and clarify how p-adic and 'real' research fluctuate. This method promises the reader fast turns into accustomed to this both 'real' research and appreciates its relevance.

Singular Perturbations of Differential Operators: Solvable Schrödinger-type Operators (London Mathematical Society Lecture Note Series)

Differential (and extra common self-adjoint) operators related to singular interactions come up certainly in quite a number themes equivalent to, classical and quantum physics, chemistry, and electronics. This booklet provides a scientific mathematical learn of those operators, with specific emphasis on spectral and scattering difficulties.

Representations of the Infinite Symmetric Group (Cambridge Studies in Advanced Mathematics)

Illustration idea of huge teams is a crucial and speedy constructing a part of sleek arithmetic, giving upward thrust to various very important purposes in likelihood and mathematical physics. This e-book offers the 1st concise and self-contained creation to the speculation at the least difficult but very nontrivial instance of the endless symmetric crew, targeting its deep connections to chance, mathematical physics, and algebraic combinatorics.