000 | 01871cam a2200301 a 4500 | ||
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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 |
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942 | _2ddc | ||
955 |
_apv11 2007-02-22 z-processor to ASCD _ajp00 2007-02-26 _ijp18 2007-04-17 |
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999 |
_c93296 _d93296 |