By Anton Deitmar
Read or Download A First Course in Harmonic Analysis (Universitext) PDF
Similar group theory books
During this ebook, 3 authors introduce readers to robust approximation equipment, analytic pro-p teams and zeta features of teams. every one bankruptcy illustrates connections among countless crew conception, quantity concept and Lie thought. the 1st introduces the speculation of compact p-adic Lie teams. the second one explains how tools from linear algebraic teams will be utilised to review the finite photographs of linear teams.
This special textual content is an advent to harmonic research at the least difficult symmetric areas, specifically Euclidean area, the field, and the Poincaré top part plane. This ebook is meant for starting graduate scholars in arithmetic or researchers in physics or engineering. Written with a casual sort, the ebook locations an emphasis on motivation, concrete examples, background, and, specially, functions in arithmetic, statistics, physics, and engineering.
Prompted through the significance of the Campbell, Baker, Hausdorff, Dynkin Theorem in lots of diversified branches of arithmetic and Physics (Lie group-Lie algebra thought, linear PDEs, Quantum and Statistical Mechanics, Numerical research, Theoretical Physics, regulate conception, sub-Riemannian Geometry), this monograph is meant to: fully permit readers (graduates or experts, mathematicians, physicists or utilized scientists, familiar with Algebra or now not) to appreciate and practice the statements and quite a few corollaries of the most result, provide a large spectrum of proofs from the trendy literature, evaluating diverse ideas and furnishing a unifying perspective and notation, supply a radical ancient history of the consequences, including unknown evidence in regards to the powerful early contributions through Schur, Poincaré, Pascal, Campbell, Baker, Hausdorff and Dynkin, give an outlook at the purposes, in particular in Differential Geometry (Lie staff thought) and research (PDEs of subelliptic variety) and quickly let the reader, via an outline of the state-of-art and open difficulties, to appreciate the trendy literature pertaining to a theorem which, although having its roots before everything of the 20th century, has now not ceased to supply new difficulties and purposes.
This graduate-level textual content offers an intensive grounding within the illustration idea of finite teams over fields and earrings. The e-book offers a balanced and entire account of the topic, detailing the equipment had to examine representations that come up in lots of components of arithmetic. Key issues contain the development and use of personality tables, the function of induction and limit, projective and easy modules for staff algebras, indecomposable representations, Brauer characters, and block concept.
- Abstract Algebra: An Inquiry Based Approach (Textbooks in Mathematics)
- Lectures on Functor Homology (Progress in Mathematics)
- Algebraic Theory of Locally Nilpotent Derivations: 136 (Encyclopaedia of Mathematical Sciences)
- Ultrafilters and Topologies on Groups (De Gruyter Expositions in Mathematics)
Additional info for A First Course in Harmonic Analysis (Universitext)