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Wyświetlanie 1-10 z 41
Tytuł:
Hermite and Laguerre wave packet expansions
Autorzy:
Epperson, Jay
Powiązania:
https://bibliotekanauki.pl/articles/1218865.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Opis:
This paper describes expansions in terms of Hermite and Laguerre functions similar to the Frazier-Jawerth expansion in Fourier analysis. The wave packets occurring in these expansions are finite linear combinations of Hermite and Laguerre functions. The Shannon sampling formula played an important role in the derivation of the Frazier-Jawerth expansion. In this paper we use the Christoffel-Darboux formula for orthogonal polynomials instead. We obtain estimates on the decay of the Hermite and Laguerre wave packets by investigating two closely related oscillatory integrals.
Źródło:
Studia Mathematica; 1997, 126, 3; 199-217
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Triebel-Lizorkin spaces for Hermite expansions
Autorzy:
Epperson, Jay
Powiązania:
https://bibliotekanauki.pl/articles/1289370.pdf
Data publikacji:
1995
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Opis:
This paper develops some Littlewood-Paley theory for Hermite expansions. The main result is that certain analogues of Triebel-Lizorkin spaces are well-defined in the context of Hermite expansions.
Źródło:
Studia Mathematica; 1995, 114, 1; 87-103
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Codzienność hiszpańska drugiej połowy XVIII wieku w świetle korespondencji Johna i Sarah Jay
Spanish Everyday Life in the Second half of the Eighteenth Century According to the Correspondence of John and Sarah Jay
Autorzy:
Stelmasiak, Katarzyna
Powiązania:
https://bibliotekanauki.pl/articles/18055658.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Opis:
The eighteenth century was the time of the big changes in Spain. At the beginning of the century the country was weak from political and economic point of view. Foreign travellers emphasized that Spain was depopulated and destroyed. „The age of reforms” started with the reign of Philip V. His successor Ferdinand VI continued the reconstruction. The main reforms were done during the reign of Charles III. He was the outstanding administrator in Spanish history. For American diplomats who came to Europe during the war of Independence Spain was very often the first point of their travels. America had great expectations of Spain, including large - scale aid and even an alliance. Seeing that the Congress decided to send a minister plenipotentiary to Spain in September 1779. This minister was John Jay. He was the most able and distinguished man whom the Congress could spare for this important mission. The article is based on John and Sarah Jay correspondence and it documents their adventures on the voyage to Spain in 1779. Then it shows the Jays’ opinions on Spanish everday life which they made during their stay in this country. John and Sarah Jay left America in October 1779 on the ship „Confederacy” . The stormy voyage was described in the letters of Sarah Jay too her mother because John Jay himself was too seasick to attend to formal correspondence. When the Jays’ arrived at Cadiz in February 1780 no one welcomed them. John Jay was accorded no offical status by the Spanish court. In March having sent William Carmichael (John Jay’s secretary) ahead, the Jays along set out for Madrid, four hundred miles away. The route to Madrid took them through Andalusia, La Mancha and Castile. As travellers, John and Sarah Jay brought their own food, they ate it with their own utensils, and they carried their own beds. They reached the capital in April 1780. Although the Jays rented the house in Madrid, John Jay was soon engaged in following the court form country seat to country seat. King Charles III moved very often from his winter capitol of El Pardo to Aranjuez and then to the north at the two sites of El Escorial and San Ildefonso. Moving the court from one palace to another made Spain one of the most expensive diplomatic establishment in Europe. That is why Sarah Jay stayed in Madrid most the time. Generally financial problems made their stay in Spain very difficult although John Jay was supported by Benjamin Franklin from Paris. To make matters worse from the beginning Jay’s mission was a hoples one. He had lowly status at the court and he felt lonely. He showed his discontent quite often in his letters. To sum up in the correspondence, John and Sarah Jay did not put a lot of attention to everyday life in Spain. There are a few letters where we can find fascinating descriptions of their ocean voyage, broken by near-disaster and the interlude a t Martinique, and then their arrived in Cadiz and their difficult overland journey to Madrid and the Spanish court.
Źródło:
Acta Universitatis Lodziensis. Folia Historica; 2001, 70; 5-23
0208-6050
2450-6990
Pojawia się w:
Acta Universitatis Lodziensis. Folia Historica
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-10 z 41

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