000			04631cam a2200529 i 4500
001			on1310158696
003			OCoLC
005			20230706154121.0
008			220411t20222022sz a b 001 0 eng d
016	7		_a020727878 _2Uk
020			_a9783031052958 _q(paperback)
020			_a3031052951 _q(paperback)
020			_z9783031052965 _q(eBook)
020			_z303105296X _q(eBook)
024	7		_z10.1007/978-3-031-05296-5 _2doi
029	1		_aUKMGB _b020727878
035			_a(OCoLC)1310158696
040			_aYDX _beng _erda _cYDX
066			_c(S
082	0	4	_a515.43
090			_acolm
100	1		_aSousa, Rúben _c(Mathematician), _eauthor.
245	1	0	_aConvolution-like structures, differential operators and diffusion processes / _cRúben Sousa, Manuel Guerra, Semyon Yakubovich.
264		1	_aCham, Switzerland : _bSpringer Nature Switzerland AG, _c[2022]
264		4	_c©2022
300			_axii, 259 pages : _billustrations (some color) ; _c24 cm
336			_atext _btxt _2rdacontent
337			_aunmediated _bn _2rdamedia
338			_avolume _bnc _2rdacarrier
490	1		_aLecture Notes in Mathematics , _x0075-8434 ; _v2315
504			_aIncludes bibliographical references (pages 249-256) and index.
540			_aCurrent copyright fee: GBP19.00 _c42\0. _5Uk
650		0	_aConvolutions (Mathematics) _937529
650		0	_aDifferential operators. _937653
650		0	_aDiffusion processes. _937656
697			_923736 _aColeções de Monografias.
700	1		_aGuerra, Manuel _c(Mathematician), _eauthor.
700	1		_aYakubovich, S. B. _q(Semen B.), _d1961- _eauthor. _934092
710	2		_aFundação para a Ciência e a Tecnologia.
776	0	8	_iOnline version: _aSousa, Rúben. _tConvolution-like structures, differential operators and diffusion processes. _dCham : Springer, 2022 _z9783031052965 _w(OCoLC)1337943487
830		0	_aLecture notes in mathematics (Springer-Verlag) ; _v2315. _x0075-8434 _943881
856			_31850-9999 _uhttp://link.springer.com/
880	0		_6505-00/(S _aPreliminaries. Continuous-Time Markov Processes ; Sturm-Liouville Theory ; Solutions of the Sturm-Liouville Equation ; Eigenfunction Expansions ; Diffusion Semigroups Generated by Sturm-Liouville Operators ; Remarkable Particular Cases ; Generalized Convolutions and Hypergroups ; Harmonic Analysis with Respect to the Kingman Convolution -- The Whittaker Convolution. A Special Case: The Kontorovich-Lebedev Convolution ; The Product Formula for the Whittaker Function ; Whittaker Translation ; Index Whittaker Transforms ; Whittaker Convolution of Measures ; Infinitely Divisible Distributions ; Lévy-Khintchine Type Representation ; Lévy Processes with Respect to the Whittaker Convolution ; Convolution Semigroups ; Lévy and Gaussian Processes ; Some Auxiliary Results on the Whittaker Translation ; Moment Functions ; Lévy-Type Characterization of the Shiryaev Process ; Whittaker Convolution of Functions ; Mapping Properties in the Spaces Lp(rα) ; The Convolution Banach Algebra Lα, ν ; Convolution-Type Integral Equations -- Generalized Convolutions for Sturm-Liouville Operators. Known Results and Motivation ; Laplace-Type Representation ; The Existence Theorem for Sturm-Liouville Product Formulas ; The Associated Hyperbolic Cauchy Problem ; The Time-Shifted Product Formula ; The Product Formula for wλ as the Limit Case ; Sturm-Liouville Transform of Measures ; Sturm-Liouville Convolution of Measures ; Infinite Divisibility and Lévy-Khintchine Type Representation ; Convolution Semigroups ; Additive and Lévy Processes ; Sturm-Liouville Hypergroups ; The Nondegenerate Case ; The Degenerate Case: Degenerate Hypergroups of Full Support ; Harmonic Analysis on Lp Spaces ; A Family of L1 Spaces ; Application to Convolution-Type Integral Equations -- Convolution-Like Structures on Multidimensional Spaces. Convolutions Associated with Conservative Strong Feller Semigroups ; Nonexistence of Convolutions: Diffusion Processes on Bounded Domains ; Special Cases and Numerical Examples ; Some Auxiliary Results ; Eigenfunction Expansions, Critical Points and Nonexistence Theorems ; Nonexistence of Convolutions: One-Dimensional Diffusions ; Families of Convolutions on Riemannian Structures with Cone-Like Metrics ; The Eigenfunction Expansion of the Laplace-Beltrami Operator ; Product Formulas and Convolutions ; Infinitely Divisible Measures and Convolution Semigroups ; Special Cases ; Product Formulas and Convolutions Associated with Elliptic Operators on Subsets of R².
942			_2ddc _cBK _n0
948			_hNO HOLDINGS IN P5A - 30 OTHER HOLDINGS
999			_c39873 _d39873