The book is ideal for mathematicians, students, and professor of calculus and advanced mathematics.
This book presents a global pseudo-differential calculus in Euclidean spaces, which includes SG as well as Shubin classes and their natural generalizations containing Schroedinger operators with non-polynomial potentials.
This book bridges the gap between the two communities.
The appearance of Volume 1 was acknowledged by the mathematical community. Favourable reviews and many private communications encouraged the authors to continue their work, the result being the present book, Volume 2, a sequel to Volume 1.
... differential operators with constant coefficients . 7.7 . Residue calculus outside the commutative setting Although we did not explicitly mention that commutativity remained crucial to settle univariate or multidimensional residue ...
Partial Differential Equations and Time-frequency Analysis Luigi Rodino, Bert-Wolfgang Schulze, Man Wah Wong ... residue theorem and the theorem of Rouché , Math . USSR Sbornik 13 , 4 ( 1971 ) , 603-625 . [ 17 ] G. Harutjunjan and ...
Proceedings of the Mark Krein International Conference on Operator Theory and Applications, Odessa, Ukraine ... residue calculus to obtain - zin √∞0 ( 4c ( 2 ) — il p ) dz 2ίπ Z λ 1 + z2 = c ( λ ) - il p , 1 • ∞ ( c ( Z ) * + ...
... operators in the edge symbolic calculus , Osaka J. Math . 37 ( 2000 ) , 219–258 . [ 15 ] I.C. Gohberg and E.I. Sigal , An operator generalization of the logarithmic residue theorem and the theorem of Rouché , Math . USSR Sbornik 13 ...
... function of ( -1 , 1 ) ( use Fourier's inversion formula ! ) d ) 2n ( 2i ) - * ( * ) dk - 2j ( −1 ) . e ) ( − i0 ) -2 f ) 2ndо + 2 sin / g ) Σő е - -151 ― - -2i vp 1 / h ) vp 1 / ( + 1 ) − vp 1 / ( § − 1 ) i ) лe ( residue calculus ) ...