000 01871cam a2200301 a 4500
001 14743256
005 20250316223753.0
008 070222r20061967nyu b 001 0 eng
010 _a 2007272100
020 _a0486453529 (pbk.)
040 _aDLC
_cDLC
_dDLC
050 0 0 _aQA321
_b.T74 2006
082 _a515 TRE-F
100 1 _aTreves, Francois
245 1 0 _aTopological vector spaces, distributions and kernels /
_cFrancois Treves
260 _aNew York
_bDover Publications
_c2006
300 _a565 p.
365 _aINR
_b2335.00.
490 0 _aDover books on mathematics
500 _aThis text for upper-level undergraduates and graduate students focuses on key notions and results in functional analysis. Extending beyond the boundaries of Hilbert and Banach space theory, it explores aspects of analysis relevant to the solution of partial differential equations. The three-part treatment begins with topological vector spaces and spaces of functions, progressing to duality and spaces of distribution, and concluding with tensor products and kernels. The archetypes of linear partial differential equations (Laplace's, the wave, and the heat equations) and the traditional problems (Dirichlet's and Cauchy's) are this volume's main focus. Most of the basic classical results appear here. There are 390 exercises, several of which contain detailed information that will enable readers to reconstruct the proofs of some important results.
504 _aIncludes bibliographical references (p. 558) and indexes.
650 0 _aFunctional analysis.
650 0 _aLinear topological spaces.
856 4 2 _3Publisher description
_uhttp://www.loc.gov/catdir/enhancements/fy0709/2007272100-d.html
906 _a7
_bcbc
_corigcop
_d2
_encip
_f20
_gy-gencatlg
942 _2ddc
955 _apv11 2007-02-22 z-processor to ASCD
_ajp00 2007-02-26
_ijp18 2007-04-17
999 _c93296
_d93296