Symplectic methods in harmonic analysis and in mathematical physics weyl calculus and its symplectic covariance shubins global theory of pseudo differential operators and feichtingers theory of modulation spaces several applications to time frequency analysis and quantum mechanics are given many of them concurrent with ongoing research . Several applications to time frequency analysis and quantum mechanics are given many of them concurrent with ongoing research for instance a non standard pseudo differential calculus on phase space is introduced and studied where the main role is played by bopp operators also called landau operators in the literature. Pseudo differential operators symplectic methods in harmonic analysis and in mathematical physics authors de gosson maurice a free preview deformation quantization is a hot topic in pure mathematics absolutely new approach making use of well established tools of time frequency analysis probably the first text in mathematical . The heisenberg weyl and grossmann royer operators allow us to define in a particular simple way two classical objects from symplectic harmonic analysis namely the cross ambiguity and wigner . Of pseudo differential operators and their applications to mathematical physics methods from symplectic geometry add power and scope to modern harmonic analysis historically these methods were perhaps for the first time systematically used in follands seminal book 59 the aim of the present book is to give a rigorous and modern
How it works:
1. Register a Free 1 month Trial Account.
2. Download as many books as you like ( Personal use )
3. No Commitment. Cancel anytime.
4. Join Over 100.000 Happy Readers.
5. That's it. What you waiting for? Sign Up and Get Your Books.